{"as_of":"2026-08-17T04:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1ea8aa56f01fdd8eee43e027b37e95cdc4d3b0f94b6217dba07b8258a827d716","coverage":[{"denominator":107,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:29:36.891013Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T00:29:35.835374Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T00:29:36.204774Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.15946","snapshot_observed_at":"2026-08-02T19:24:06.337225Z","title":"Three-loop corrections to the Fermi decay constant in the MS scheme,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.02652","last_updated":"2026-06-27T06:44:29Z","snapshot_observed_at":"2026-08-12T23:09:33.828536Z","submitted_at":"2026-03-03T06:36:42Z","title":"Weinberg Angle, Neutron Abundance in BBN, and Lifetime","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T19:24:06.337225Z"},"links":{"cited_paper":"/paper/2507.15946","citing_paper":"/paper/2603.02652"},"observation_digest":"sha256:0e7ac1264f44f735bd726bf87f0535dddedc325b1b2bb36857a32f5c6392bf91","observation_id":"ec083698-a612-4874-8dda-52991f8a198c","resolution":{"observed_at":"2026-08-02T19:24:06.337225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"cited_work":{"arxiv_id":"2507.15946","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.15946","snapshot_observed_at":"2026-08-08T00:29:36.204774Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","venue":"hep-ph","work_id":"2eb5a77c-77f8-420c-ab9d-6b6822eb3ba3","year":2025},"citing_paper":{"arxiv_id":"2608.04182","last_updated":"2026-08-04T19:40:05Z","snapshot_observed_at":"2026-08-15T12:11:11.084267Z","submitted_at":"2026-08-04T19:40:05Z","title":"Bare effective potential and Goldstone boson anti-resummation","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-08T00:29:35.835374Z"},"links":{"cited_paper":"/paper/2507.15946","citing_paper":"/paper/2608.04182"},"observation_digest":"sha256:b3f91b1da3cdab26ce39a2e77529e4abf71601d2856bf252b1ebd636208a76bc","observation_id":"eb14dbdd-ed00-45e7-b6fd-e223438a6b41","resolution":{"observed_at":"2026-08-08T00:29:36.209391Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.15946/citation-record","integrity":"/paper/2507.15946/integrity","json":"/paper/2507.15946/citation-record.json","paper":"/paper/2507.15946"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(89)91495-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The Mass Ratio m(c) / m(b) in Semileptonic B Decays,","venue":"Physics Letters B","work_id":"ca31116b-6352-4b44-b9f7-7716eca97dd3","year":1989},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.512809Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4c1e5af032cffa6d1ce1a3148da31a3d298a76faa55d175a71d18a47c82d793b","observation_id":"03896545-30ef-46be-9784-09d88a833319","resolution":{"observed_at":"2026-08-06T15:29:37.231785Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.507486Z","title":"Radiative corrections to Fermi interac tions,","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.507486Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:7e3f498398158e7a9b743d3ff939db79837d4a41035aa83e8cdc513f37ccab41","observation_id":"458a4358-6c58-42f7-8332-9ddb963fb954","resolution":{"observed_at":"2026-08-06T15:29:36.507486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9904240","last_updated":"1999-04-06T12:50:27Z","snapshot_observed_at":"2026-07-07T04:32:42.268647Z","submitted_at":"1999-04-06T12:50:27Z","title":"On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9904240","snapshot_observed_at":"2026-08-06T15:29:36.516559Z","title":"On the precise determinatio n of the Fermi coupling constant from the muon lifetime,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.516559Z"},"links":{"cited_paper":"/paper/hep-ph/9904240","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:f5d7dcac358421d0eaceb63d8739c90778a2dce0d4606834bfe666a7e7e8e1b2","observation_id":"071f5c7a-9e71-4e97-a529-280860061f9d","resolution":{"observed_at":"2026-08-06T15:29:36.516559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9909436","last_updated":"1999-09-20T15:43:21Z","snapshot_observed_at":"2026-08-14T14:47:56.361014Z","submitted_at":"1999-09-20T15:43:21Z","title":"Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9909436","snapshot_observed_at":"2026-08-06T15:29:36.520562Z","title":"Second order correctio ns to the muon lifetime and the semilep- tonic B decay,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.520562Z"},"links":{"cited_paper":"/paper/hep-ph/9909436","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4aaf6da50ff3c26741e9ea561b9deea0cf20133337a9c979f5c82a23a0a02b0b","observation_id":"ace54d1d-ad5a-4b8c-bb36-5c1f1a575827","resolution":{"observed_at":"2026-08-06T15:29:36.520562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0803.0960","last_updated":"2008-03-06T20:25:48Z","snapshot_observed_at":"2026-08-16T10:25:29.768737Z","submitted_at":"2008-03-06T20:25:48Z","title":"Mass effects in muon and semileptonic b -> c decays","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0803.0960","snapshot_observed_at":"2026-08-06T15:29:36.524426Z","title":"Mass eﬀects in muon and semileptonic b — > c decays,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.524426Z"},"links":{"cited_paper":"/paper/0803.0960","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:aa8cd4eb0cf8fdf059911468a6986adea2a67b8bc0dabc9795d8d8c2445e49c1","observation_id":"8000622a-7d5c-4620-81de-8c5444b64ad5","resolution":{"observed_at":"2026-08-06T15:29:36.524426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9905442","last_updated":"1999-09-08T16:32:58Z","snapshot_observed_at":"2026-07-07T04:33:07.563048Z","submitted_at":"1999-05-21T15:44:15Z","title":"Considerations Concerning the Radiative Corrections to Muon Decay in the Fermi and Standard Theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9905442","snapshot_observed_at":"2026-08-06T15:29:36.528197Z","title":"Considerations concerning t he radiative corrections to muon decay in the Fermi and standard theories,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.528197Z"},"links":{"cited_paper":"/paper/hep-ph/9905442","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:5872fd151ba3cb93ba8c0d96807642aa4d83fcfbb6313090c1c1cd0153d53cda","observation_id":"72e99616-824e-4c53-a05a-262176fd6b0b","resolution":{"observed_at":"2026-08-06T15:29:36.528197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.13654","last_updated":"2021-07-15T15:18:42Z","snapshot_observed_at":"2026-08-16T19:02:53.882967Z","submitted_at":"2020-11-27T10:50:56Z","title":"Third order corrections to the semi-leptonic \\boldmath{$b\\to c$} and the muon decays","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.13654","snapshot_observed_at":"2026-08-06T15:29:36.532328Z","title":"Third order correc tions to the semileptonic b →c and the muon decays,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.532328Z"},"links":{"cited_paper":"/paper/2011.13654","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:e79ad0c54c68393c19b7bd60c9c29edfc8e0ffb34583c6787acf294179d331f5","observation_id":"d93abb2a-b161-4acb-9a37-6c0eb7f75d95","resolution":{"observed_at":"2026-08-06T15:29:36.532328Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.05804","last_updated":"2021-05-18T23:11:31Z","snapshot_observed_at":"2026-08-16T18:32:06.816113Z","submitted_at":"2021-04-12T20:27:41Z","title":"Three-loop corrections to the muon and heavy quark decay rates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.05804","snapshot_observed_at":"2026-08-06T15:29:36.535905Z","title":"Three-loop correctio ns to the muon and heavy quark decay rates,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.535905Z"},"links":{"cited_paper":"/paper/2104.05804","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:22c95f2197415fcbe0097abb70447e5968c995031cde8c10660410c89bccae7b","observation_id":"f45dc087-72d7-4487-b8c7-770736ed063d","resolution":{"observed_at":"2026-08-06T15:29:36.535905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1010.0991","last_updated":"2010-12-06T07:21:37Z","snapshot_observed_at":"2026-08-15T05:06:53.828364Z","submitted_at":"2010-10-05T19:29:28Z","title":"Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant to Part-per-Million Precision","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1010.0991","snapshot_observed_at":"2026-08-06T15:29:36.539395Z","title":"Measurement of the Positive Muon Lifetime and Determinat ion of the Fermi Constant to Part-per-Million Precision,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.539395Z"},"links":{"cited_paper":"/paper/1010.0991","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:0a0c7b36a9882ca00dc744a0c13ecf0ff7b0535621e92f4ec21cda70bb27e9ed","observation_id":"f33d4c44-59ee-454c-b859-edbe1dd49089","resolution":{"observed_at":"2026-08-06T15:29:36.539395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.0960","last_updated":"2012-11-05T18:12:19Z","snapshot_observed_at":"2026-08-15T00:40:27.349261Z","submitted_at":"2012-11-05T18:12:19Z","title":"Detailed Report of the MuLan Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.0960","snapshot_observed_at":"2026-08-06T15:29:36.543504Z","title":"Detailed Report of the MuLan Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.543504Z"},"links":{"cited_paper":"/paper/1211.0960","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:2ecd4f9591598e55002b9aa4a0a1f4f9c45b5fe01e9ba4c4db443bdb7d52126c","observation_id":"186a5ad0-4559-4008-8810-9bc01f07eda4","resolution":{"observed_at":"2026-08-06T15:29:36.543504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.547162Z","title":"Review of particle physics,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.547162Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:b14fce96e52e06dc67a71499b10e8b5621f7318ae289a2920c609f4f193d86cc","observation_id":"f198b14a-568a-49b8-8511-4e37dec98aa5","resolution":{"observed_at":"2026-08-06T15:29:36.547162Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.550753Z","title":"Radiative Corrections in the SU(2)-L x U(1) Theory: A Simple Renormalization Frame- work,","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.550753Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:7013acc5e373a55edec24ec477f209b2e0bf5861bb255067fa36ecf9d58fc639","observation_id":"32ed2e43-011f-4b13-8c7e-bb5d22f88de3","resolution":{"observed_at":"2026-08-06T15:29:36.550753Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.22.2695","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Radiative Corrections to Neutrino I nduced Neutral Current Phenomena in the SU(2)-L x U(1) Theory,","venue":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","work_id":"ac7b00c9-cde8-4878-ab24-fe53c601fdaf","year":1980},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.554218Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:ee49f7075b5cbc9d077af6ede1b8dd1b4db770beb53fe9fda7b79319c694e493","observation_id":"fe3ca895-055e-4ad5-ad01-77d0f15341fa","resolution":{"observed_at":"2026-08-06T15:29:37.173087Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0550-3213(81)90574-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Radiative Corrections to Muon-neu trino N — > mu- X and their Eﬀect on the Determination of rho**2 and sin**2-Theta(W),","venue":"Nuclear Physics B","work_id":"ee6254fc-5e55-4b2f-954d-0d08b87ecb30","year":1981},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.557495Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:86301553df9514f556fc10ef5eab247e52eedf48a5e0ed3a4c82d9a1f09f00a5","observation_id":"9451ca1b-eb29-41e7-a8cf-2f8a016f7db2","resolution":{"observed_at":"2026-08-06T15:29:37.135828Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0550-3213(87)90284-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Two Loop Correction to We ak Interaction Parameters Due to a 17 Heavy Fermion Doublet,","venue":"Nuclear Physics B","work_id":"98fd932f-7a95-487b-9cfb-6f619656dba6","year":1987},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.561084Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:ec418469fea2ed409b1d70d82ecbb98859293f1ea5292c4b401918574a536afc","observation_id":"56af97df-9b0c-44c5-8c7a-9f2e416f8421","resolution":{"observed_at":"2026-08-06T15:29:37.104978Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0370-2693(87)91206-8","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Virtual Very Heavy Top Eﬀec ts in LEP / SLC Precision Measure- ments,","venue":"Physics Letters B","work_id":"a5990f83-1771-4eeb-b1c9-8817364b3769","year":1987},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.564560Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:a31dc94773dd2f4ed7c9e8f4e0936762ea1f2d6f0162f16c086bf3a40ad8d06f","observation_id":"182af060-19bc-4509-8a96-c83470415abd","resolution":{"observed_at":"2026-08-06T15:29:37.083995Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02812964","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"O(alpha alpha-s) Vacuum Polarization Functions of the Standard Model Gauge Bosons,","venue":"Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields","work_id":"78404103-bad2-4bdb-a993-218ca5d2d47c","year":1988},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.567857Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:2d1564d54a7d2ca53c7ba099d95d012be00b1af7ad39d8f5c048794ef7d6f7cb","observation_id":"69c103b2-9f92-4c5e-96f7-e438441dfb3b","resolution":{"observed_at":"2026-08-06T15:29:37.072281Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0550-3213(90)90552-o","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Two Loop Corrections to the Vacuum Polarizations in Perturbative QCD,","venue":"Nuclear Physics B","work_id":"331b2bfa-59b0-4a3b-a499-8e27b3609540","year":1990},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.571123Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:a6d6f671685533a5ce8690579ca021336c0c56d64e73e013158cad150fead948","observation_id":"8813de45-3e1c-4b99-bb6f-83dc902e2fa6","resolution":{"observed_at":"2026-08-06T15:29:37.059979Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0550-3213(91)90319-s","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"∆ r beyond one loop,","venue":"Nuclear Physics B","work_id":"4a36af99-6b6e-4246-8e33-a8fe2d0afefd","year":1991},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.574739Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:24bd29822730484a1233730033c1ebf210a67ba64c5a7616a186fb3dd0111e2b","observation_id":"251865a1-0eba-462d-941f-911466ec78ab","resolution":{"observed_at":"2026-08-06T15:29:37.047594Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9205238","last_updated":"1992-05-27T16:28:54Z","snapshot_observed_at":"2026-07-07T04:14:21.840920Z","submitted_at":"1992-05-27T16:28:54Z","title":"Radiative Correction Effects of a Very Heavy Top","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9205238","snapshot_observed_at":"2026-08-06T15:29:36.578325Z","title":"R adiative correction eﬀects of a very heavy top,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.578325Z"},"links":{"cited_paper":"/paper/hep-ph/9205238","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:b79f19acaa47ff78487de513e952d1f19b8bcb57f703ac27db631a4001be862f","observation_id":"cebd4481-485e-410a-9511-1275da2023a1","resolution":{"observed_at":"2026-08-06T15:29:36.578325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0550-3213(93)90448-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"T wo loop heavy top eﬀects in the Standard Model,","venue":"Nuclear Physics B","work_id":"488637ff-93fb-4345-bffd-0c97a8bbe19d","year":1993},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.582070Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:f98291dbaf107b5929f8096f58bbdf9647c06aa622473d07b7d8bba7ec0acd54","observation_id":"62dc5042-9082-47d1-ba77-fd997dcd5f67","resolution":{"observed_at":"2026-08-06T15:29:37.036097Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.585662Z","title":"Two loop heav y top corrections to the rho parameter: A Simple formula valid for arbitrary Higgs mass,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.585662Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:270b34ddd50c4f295df67adf33b546650c3550d16fc09eed25938a2c8046a40d","observation_id":"66f584d4-fb95-4eed-bc91-3d43b0352dfe","resolution":{"observed_at":"2026-08-06T15:29:36.585662Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9309298","last_updated":"1993-09-20T21:50:13Z","snapshot_observed_at":"2026-07-07T04:16:01.492229Z","submitted_at":"1993-09-20T21:50:13Z","title":"Electroweak gauge bosons self--energies: complete QCD corrections","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9309298","snapshot_observed_at":"2026-08-06T15:29:36.589187Z","title":"Electroweak gauge bosons selfen ergies: Complete QCD corrections,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.589187Z"},"links":{"cited_paper":"/paper/hep-ph/9309298","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:003361354300df83bf4761878483321885ddc1a96e04d57188b12a74a590243b","observation_id":"87075b4d-e96f-4f56-a521-e6a1e88bd5fd","resolution":{"observed_at":"2026-08-06T15:29:36.589187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9603374","last_updated":"1996-04-05T15:24:12Z","snapshot_observed_at":"2026-07-07T04:22:15.203297Z","submitted_at":"1996-03-21T23:20:48Z","title":"Two-loop heavy top effects on the MZ-MW interdependence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9603374","snapshot_observed_at":"2026-08-06T15:29:36.594193Z","title":"Two loop heavy top eﬀects on the m(Z) - m(W) interdepen- dence,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.594193Z"},"links":{"cited_paper":"/paper/hep-ph/9603374","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:fce898ef40d66a7adbb11cbdae5693e8679ae10276364325dfb2063153c99cc1","observation_id":"1a0f138b-8ff8-4699-8757-76a3740a6062","resolution":{"observed_at":"2026-08-06T15:29:36.594193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9611363","last_updated":"1996-11-19T12:45:33Z","snapshot_observed_at":"2026-07-07T04:24:19.108383Z","submitted_at":"1996-11-19T12:45:33Z","title":"Precise calculation of MW, sin^2 theta_MSbar, and sin^2 theta_eff","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9611363","snapshot_observed_at":"2026-08-06T15:29:36.598260Z","title":"Precise calculation of M(W) , sin**2 theta(W) (M(Z)), and sin**2 theta(eﬀ)(lept),","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.598260Z"},"links":{"cited_paper":"/paper/hep-ph/9611363","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:ab8e4b3f6293fbc5ce0cb7ec23e87360de8cecfc6fbb8fc854db4c23738a902b","observation_id":"3918d98b-dc84-4132-8ba8-4c9a384fc9c3","resolution":{"observed_at":"2026-08-06T15:29:36.598260Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9903403","last_updated":"1999-03-18T17:48:22Z","snapshot_observed_at":"2026-07-07T04:32:32.802594Z","submitted_at":"1999-03-18T17:48:22Z","title":"Complete O(N_f alpha^2) Weak Contributions to the Muon Lifetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9903403","snapshot_observed_at":"2026-08-06T15:29:36.602275Z","title":"Complete O(N(f) α2) weak contributions to the muon lifetime,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.602275Z"},"links":{"cited_paper":"/paper/hep-ph/9903403","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:87dec913f51226409913847446d1ceac47a627ab74ea663fd4994f59ab087c1e","observation_id":"fddda93f-2ee0-468c-842a-72ee9b964fb5","resolution":{"observed_at":"2026-08-06T15:29:36.602275Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0007091","last_updated":"2003-05-22T14:59:25Z","snapshot_observed_at":"2026-07-07T03:49:07.692348Z","submitted_at":"2000-07-10T23:02:41Z","title":"Complete fermionic two-loop results for the M_W-M_Z interdependence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0007091","snapshot_observed_at":"2026-08-06T15:29:36.605961Z","title":"Complete fermionic two loop results for the M(W) - M(Z) interdependence,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.605961Z"},"links":{"cited_paper":"/paper/hep-ph/0007091","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:2bf9b18348929825c0884da2b7b570d630df06a2b4c346b50b75e18b7b995a5a","observation_id":"488b99b5-9c19-4dfd-bc59-b3123734176e","resolution":{"observed_at":"2026-08-06T15:29:36.605961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0202131","last_updated":"2003-05-22T15:16:47Z","snapshot_observed_at":"2026-07-07T03:55:13.495575Z","submitted_at":"2002-02-14T15:18:28Z","title":"Electroweak two-loop corrections to the MW-MZ mass correlation in the Standard Model","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0202131","snapshot_observed_at":"2026-08-06T15:29:36.609939Z","title":"Electroweak two lo op corrections to the MW − MZ mass correlation in the standard model,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.609939Z"},"links":{"cited_paper":"/paper/hep-ph/0202131","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4cff80ca3396a8f66fea82475d74b0d537d4a0143fd34c1bd1a8fd6142c2e7f0","observation_id":"03f988d9-530a-4c55-93ba-f95b5fff2713","resolution":{"observed_at":"2026-08-06T15:29:36.609939Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0208113","last_updated":"2002-11-15T16:41:50Z","snapshot_observed_at":"2026-07-07T03:56:57.921883Z","submitted_at":"2002-08-12T17:34:34Z","title":"Complete Two Loop Bosonic Contributions to the Muon Lifetime in the Standard Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0208113","snapshot_observed_at":"2026-08-06T15:29:36.613493Z","title":"Complete two loop bosonic contribut ions to the muon lifetime in the standard model,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.613493Z"},"links":{"cited_paper":"/paper/hep-ph/0208113","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:279edded2e2905c36015ef17455ef4eb6236eba104bf7561bda93859cece365e","observation_id":"09a4920f-fc0b-4f16-b2d7-b828a43d1ba4","resolution":{"observed_at":"2026-08-06T15:29:36.613493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0209010","last_updated":"2002-11-11T12:24:47Z","snapshot_observed_at":"2026-07-07T03:57:08.065869Z","submitted_at":"2002-09-02T12:43:55Z","title":"Two-Loop Bosonic Electroweak Corrections to the Muon Lifetime and M_Z-M_W Interdependence","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0209010","snapshot_observed_at":"2026-08-06T15:29:36.617237Z","title":"Two loop bosonic electroweak c orrections to the muon lifetime and M(Z) - M(W) interdependence,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.617237Z"},"links":{"cited_paper":"/paper/hep-ph/0209010","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:6e2948a360f44aa164f25dc6a7bd7aa035840722161750669d6cf106f0a4f677","observation_id":"63fd08a3-96e9-4c81-84d8-b8ff3371b16e","resolution":{"observed_at":"2026-08-06T15:29:36.617237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0209084","last_updated":"2002-09-08T12:27:47Z","snapshot_observed_at":"2026-08-16T00:37:30.147016Z","submitted_at":"2002-09-08T12:27:47Z","title":"Bosonic Corrections to $\\Delta r$ at the Two Loop Level","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0209084","snapshot_observed_at":"2026-08-06T15:29:36.621486Z","title":"Boson ic corrections to Delta r at the two loop level,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.621486Z"},"links":{"cited_paper":"/paper/hep-ph/0209084","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:3e3220bd9dae451413f80c0c3ae6a1acc9b048706f3aa2a1943cda94708eedfe","observation_id":"6808eec4-d760-48bb-919c-6e44e120845a","resolution":{"observed_at":"2026-08-06T15:29:36.621486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0305248","last_updated":"2003-05-26T12:59:41Z","snapshot_observed_at":"2026-07-07T04:00:00.444909Z","submitted_at":"2003-05-22T11:24:51Z","title":"Complete Two Loop Electroweak Contributions to the Muon Lifetime in the Standard Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0305248","snapshot_observed_at":"2026-08-06T15:29:36.625124Z","title":"Complete two loop electroweak cont ributions to the muon lifetime in the standard model,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.625124Z"},"links":{"cited_paper":"/paper/hep-ph/0305248","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4a63327f0e9113b4448a785cd0cd1e4b54d3833688f8ab1cf1961aea0a5f25d4","observation_id":"5922a1a9-12ed-4534-a110-c2dbead37351","resolution":{"observed_at":"2026-08-06T15:29:36.625124Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.629236Z","title":"0( αα2 s) correction to the electroweak ρ param- eter,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.629236Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:a176af6cae70ea3ed10609e1eee90889d75eb325b0c80fbdc4d9c4986b22940f","observation_id":"51ca81d6-5087-4c89-80d1-4d33f15c8b20","resolution":{"observed_at":"2026-08-06T15:29:36.629236Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9502291","last_updated":"1995-02-14T08:17:18Z","snapshot_observed_at":"2026-07-31T08:15:28.964136Z","submitted_at":"1995-02-13T15:51:40Z","title":"Corrections of order ${\\cal O}(G_F M_t^2 \\as^2)$ to the $\\rho$ parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9502291","snapshot_observed_at":"2026-08-06T15:29:36.632793Z","title":"Corrections of order O(GF M 2 t α2 s) to the ρ param- eter,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.632793Z"},"links":{"cited_paper":"/paper/hep-ph/9502291","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:59e34a9d213cd2a041064e731d1fda1ff324d560247ebae187ef254dbf2f6f5b","observation_id":"422de4cc-8bab-45c9-a9ad-949c7a8493e0","resolution":{"observed_at":"2026-08-06T15:29:36.632793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.636446Z","title":"QCD correct ions from top quark to relations be- tween electroweak parameters to order alpha-s**2,","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.636446Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d5500bc104a6515cb742e2840f497726cba7cf82ab5f1387060b04ad2cf38ee6","observation_id":"d81b5763-6657-4f6b-b1ed-0e3b65e73d61","resolution":{"observed_at":"2026-08-06T15:29:36.636446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0011373","last_updated":"2000-12-19T09:05:39Z","snapshot_observed_at":"2026-07-07T03:50:36.913744Z","submitted_at":"2000-11-29T19:08:29Z","title":"Three-Loop Leading Top Mass Contributions to the rho Parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0011373","snapshot_observed_at":"2026-08-06T15:29:36.640224Z","title":"Three loop leading top mass contributions to the rho parameter,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.640224Z"},"links":{"cited_paper":"/paper/hep-ph/0011373","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4df748a1027265cabe288bf8ed66413c3df8151fcabb2cbaeb7b722c019182de","observation_id":"0dc4c81a-c474-41ad-9654-05e14d754ee7","resolution":{"observed_at":"2026-08-06T15:29:36.640224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0302275","last_updated":"2003-04-03T16:39:49Z","snapshot_observed_at":"2026-07-07T03:59:15.396337Z","submitted_at":"2003-02-28T14:24:01Z","title":"Three Loop Top Quark Contributions to the rho Parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0302275","snapshot_observed_at":"2026-08-06T15:29:36.644241Z","title":"Three loop top quark contributions to the rho parameter,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.644241Z"},"links":{"cited_paper":"/paper/hep-ph/0302275","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:5d4035ed56b5b20e0799e5f1bd763b4910c3202b6d4536ae81ead32508b7b248","observation_id":"6e13647d-e731-46b1-8eee-da3a02f08536","resolution":{"observed_at":"2026-08-06T15:29:36.644241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0504055","last_updated":"2005-11-11T10:14:24Z","snapshot_observed_at":"2026-07-07T04:07:06.547214Z","submitted_at":"2005-04-07T14:11:31Z","title":"Four-Loop Singlet Contribution to the $\\rho$ Parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0504055","snapshot_observed_at":"2026-08-06T15:29:36.648018Z","title":"Four-loop singlet contribut ion to the rho parameter,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.648018Z"},"links":{"cited_paper":"/paper/hep-ph/0504055","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:becd000153ec72fd895cde47e923cfadac04002e9ad5621ae2170efefaad6c27","observation_id":"a7158dfa-8300-49d5-831e-9b9aad650289","resolution":{"observed_at":"2026-08-06T15:29:36.648018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0605201","last_updated":"2006-09-28T16:09:00Z","snapshot_observed_at":"2026-08-01T18:00:54.074044Z","submitted_at":"2006-05-18T19:37:39Z","title":"Four-Loop QCD Corrections to the Rho Parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0605201","snapshot_observed_at":"2026-08-06T15:29:36.652463Z","title":"Four-Loop QCD Corrections to the Rho Parameter,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.652463Z"},"links":{"cited_paper":"/paper/hep-ph/0605201","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:020370b92c2c52e258a224b4a9ee6b7443695976f0621348e504a0782cf5fd73","observation_id":"67dd5a86-8304-4c3e-b4b9-79e080ed44ba","resolution":{"observed_at":"2026-08-06T15:29:36.652463Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0606232","last_updated":"2006-10-05T11:39:52Z","snapshot_observed_at":"2026-07-07T04:11:23.949703Z","submitted_at":"2006-06-21T15:28:47Z","title":"Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0606232","snapshot_observed_at":"2026-08-06T15:29:36.656451Z","title":"Single scale tadpoles and O(G(F m (t)**2 alpha(s)**3)) corrections to the rho parameter,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.656451Z"},"links":{"cited_paper":"/paper/hep-ph/0606232","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:317b52e54fbfebd869b57e99770258caee16a05b3f6032bb0095ae61b34db4e7","observation_id":"ff4fa09d-96b9-4bfa-83e4-4ae77e82b1f2","resolution":{"observed_at":"2026-08-06T15:29:36.656451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0311148","last_updated":"2021-11-08T18:31:24Z","snapshot_observed_at":"2026-07-07T04:01:56.339361Z","submitted_at":"2003-11-11T21:10:11Z","title":"Precise Prediction for the W-Boson Mass in the Standard Model","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0311148","snapshot_observed_at":"2026-08-06T15:29:36.660141Z","title":"Precise Pred iction for the W Boson Mass in the Standard Model,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.660141Z"},"links":{"cited_paper":"/paper/hep-ph/0311148","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:31e3bf32bca1c19142250af91d55f5451f1d0f155b90fb7b8d5d6811dc8a14c7","observation_id":"1ec4c005-6ba9-4993-b50b-3c6a2d56ba6e","resolution":{"observed_at":"2026-08-06T15:29:36.660141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.7040","last_updated":"2014-11-25T21:00:39Z","snapshot_observed_at":"2026-08-14T23:10:12.574498Z","submitted_at":"2014-11-25T21:00:39Z","title":"The $m_{\\scriptscriptstyle W}-m_{\\scriptscriptstyle Z}$ interdependence in the Standard Model: a new scrutiny","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.7040","snapshot_observed_at":"2026-08-06T15:29:36.663660Z","title":"The mW − mZ interdependence in the Standard Model: a new scrutiny,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.663660Z"},"links":{"cited_paper":"/paper/1411.7040","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:e0da5ffacfd725038e272a21e541a7f9b04d0cfebe5fed9e96d4ae54ee9029dc","observation_id":"ab4eedc9-c003-4048-9179-a37d5e3cba26","resolution":{"observed_at":"2026-08-06T15:29:36.663660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.02138","last_updated":"2015-05-05T07:46:23Z","snapshot_observed_at":"2026-08-15T10:05:41.064161Z","submitted_at":"2015-03-07T07:42:08Z","title":"Two-loop electroweak threshold corrections in the Standard Model","version":2},"cited_work":{"arxiv_id":"1503.02138","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.02138","snapshot_observed_at":"2026-08-06T15:29:43.150273Z","title":"Two-loop electroweak threshold corrections in the Standard Model","venue":"hep-ph","work_id":"fb4763a3-0f89-41c4-89de-b024cb8f71f0","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.667259Z"},"links":{"cited_paper":"/paper/1503.02138","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:106a46f4ae56181a3cf37f123f0cc4c07d9ed14d0e847fdacf63c8dce431f47a","observation_id":"de4d82cc-3cbb-4f18-80b8-76eb3d38c720","resolution":{"observed_at":"2026-08-06T15:29:43.236222Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1601.08143","last_updated":"2016-12-02T17:52:27Z","snapshot_observed_at":"2026-08-14T22:12:31.196522Z","submitted_at":"2016-01-29T14:57:19Z","title":"mr: a C++ library for the matching and running of the Standard Model parameters","version":3},"cited_work":{"arxiv_id":"1601.08143","doi":null,"metadata_source":"pith","pith_arxiv_id":"1601.08143","snapshot_observed_at":"2026-08-06T15:29:43.015375Z","title":"mr: a C++ library for the matching and running of the Standard Model parameters","venue":"hep-ph","work_id":"b903c6c2-faf0-4a16-8a15-95afc271f810","year":2016},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.671041Z"},"links":{"cited_paper":"/paper/1601.08143","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:0e0a9588bd77d314440aede9fc208108b00631f7baf785b4206604b59e38b4f9","observation_id":"240c2f2a-5ae3-4ade-877b-b63f1d4e96b7","resolution":{"observed_at":"2026-08-06T15:29:43.062443Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02500","last_updated":"2025-07-23T05:44:02Z","snapshot_observed_at":"2026-08-15T22:22:31.154260Z","submitted_at":"2019-07-04T17:30:12Z","title":"Standard Model parameters in the tadpole-free pure $\\overline{\\rm{MS}}$ scheme","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02500","snapshot_observed_at":"2026-08-06T15:29:36.675272Z","title":"Standard model paramete rs in the tadpole-free pure MS scheme,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.675272Z"},"links":{"cited_paper":"/paper/1907.02500","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:2a659c89e41b32528c2943e40c5c492d16aaca6dfdbab4e57f4f0223cf2de3ec","observation_id":"0b668f78-f67e-4a12-8dfd-daea3f380c69","resolution":{"observed_at":"2026-08-06T15:29:36.675272Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0111190","last_updated":"2002-07-11T09:32:54Z","snapshot_observed_at":"2026-08-15T10:08:52.737667Z","submitted_at":"2001-11-15T16:43:22Z","title":"The Standard Model Effective Potential at Two Loops","version":2},"cited_work":{"arxiv_id":"hep-ph/0111190","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0111190","snapshot_observed_at":"2026-08-06T15:29:42.869423Z","title":"The Standard Model Effective Potential at Two Loops","venue":"hep-ph","work_id":"5075b62a-4b22-48d1-a2b3-61b4c24c237d","year":2001},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.679174Z"},"links":{"cited_paper":"/paper/hep-ph/0111190","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:f67fbeaaece30dce8bf97add9f73a39c324fa45deb0021e1fba158674d1df935","observation_id":"0659286f-c489-4089-81e7-b003032d29cd","resolution":{"observed_at":"2026-08-06T15:29:42.935496Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1310.7553","last_updated":"2013-11-07T18:17:25Z","snapshot_observed_at":"2026-08-14T23:57:22.153191Z","submitted_at":"2013-10-28T19:46:40Z","title":"Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings","version":2},"cited_work":{"arxiv_id":"1310.7553","doi":null,"metadata_source":"pith","pith_arxiv_id":"1310.7553","snapshot_observed_at":"2026-08-06T15:29:42.712420Z","title":"Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings","venue":"hep-ph","work_id":"7df9de63-0197-483f-ac2b-512598db2d08","year":2013},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.683395Z"},"links":{"cited_paper":"/paper/1310.7553","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:ed8112f5f79b6b3b5bdef33c2fee19837d8d60ebbc633f3ce2347476332b50d5","observation_id":"6810e0f8-23a0-4ae3-b9ed-0c6ff5191752","resolution":{"observed_at":"2026-08-06T15:29:42.767110Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.02397","last_updated":"2017-09-07T18:12:51Z","snapshot_observed_at":"2026-08-15T09:21:17.199868Z","submitted_at":"2017-09-07T18:12:51Z","title":"Effective potential at three loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.02397","snapshot_observed_at":"2026-08-06T15:29:36.687456Z","title":"Eﬀective potential at three loops,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.687456Z"},"links":{"cited_paper":"/paper/1709.02397","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:754777fdb8bcdef36c3fa13feda93f8701736f34f9897ce1f4d358ae6aaf8588","observation_id":"556f05ee-fe68-4777-b575-9aed3cd0bee1","resolution":{"observed_at":"2026-08-06T15:29:36.687456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0111209","last_updated":"2002-03-29T21:13:35Z","snapshot_observed_at":"2026-07-07T03:54:14.918367Z","submitted_at":"2001-11-16T15:32:49Z","title":"Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0111209","snapshot_observed_at":"2026-08-06T15:29:36.691239Z","title":"Two Loop Eﬀective Potential for a General Reno rmalizable Theory and Softly Broken Supersymmetry,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.691239Z"},"links":{"cited_paper":"/paper/hep-ph/0111209","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:8948491bc1aa1511e656c54f21d5c0461631806033e743bb362840e5ed8f7b55","observation_id":"67ee9205-957b-453c-a758-d3ffa808bfe9","resolution":{"observed_at":"2026-08-06T15:29:36.691239Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09372","last_updated":"2023-11-29T19:33:07Z","snapshot_observed_at":"2026-08-16T14:42:55.124856Z","submitted_at":"2023-11-15T21:02:08Z","title":"Three-loop effective potential for softly broken supersymmetry","version":2},"cited_work":{"arxiv_id":"2311.09372","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.09372","snapshot_observed_at":"2026-08-06T15:29:42.531907Z","title":"Three-loop effective potential for softly broken supersymmetry","venue":"hep-ph","work_id":"64e26b04-7e8b-4e2e-9944-9a9acb016ec6","year":2023},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.695517Z"},"links":{"cited_paper":"/paper/2311.09372","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:aef721cc5040cabe3ccc33a13f012bf905aff64d642d39524cbd2e1bd8bf570a","observation_id":"d9e1e085-e469-4b0e-ab69-68f3ca9db47e","resolution":{"observed_at":"2026-08-06T15:29:42.601286Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.00912","last_updated":"2015-08-04T20:24:55Z","snapshot_observed_at":"2026-08-14T22:37:41.780415Z","submitted_at":"2015-08-04T20:24:55Z","title":"Four-loop Standard Model effective potential at leading order in QCD","version":1},"cited_work":{"arxiv_id":"1508.00912","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.00912","snapshot_observed_at":"2026-08-06T15:29:42.427984Z","title":"Four-loop Standard Model effective potential at leading order in QCD","venue":"hep-ph","work_id":"c8e8d9db-a490-44c3-801a-856a983d3afa","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.699394Z"},"links":{"cited_paper":"/paper/1508.00912","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:dd731b9f0972336bc7e8296e85e3cfe99c2dbeebada9aa033c605ce4b71d2d34","observation_id":"7e9a2b4c-7956-41df-a038-58f7e3aa6214","resolution":{"observed_at":"2026-08-06T15:29:42.466999Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.03782","last_updated":"2015-05-17T20:40:49Z","snapshot_observed_at":"2026-08-14T22:56:34.704884Z","submitted_at":"2015-03-12T15:48:53Z","title":"Pole mass of the W boson at two-loop order in the pure MS-bar scheme","version":2},"cited_work":{"arxiv_id":"1503.03782","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.03782","snapshot_observed_at":"2026-08-06T15:29:42.307694Z","title":"Pole mass of the W boson at two-loop order in the pure MS-bar scheme","venue":"hep-ph","work_id":"a919aa0c-d76d-4246-b941-0d4a890b10ba","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.702937Z"},"links":{"cited_paper":"/paper/1503.03782","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:b0d342b4fb6d5a3cdea0566b16b0a434287f2bd1cb336b2c48e2981fa9130152","observation_id":"40e576e9-7a25-4ff2-82b0-6ec2c51b20a9","resolution":{"observed_at":"2026-08-06T15:29:42.348106Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1505.04833","last_updated":"2015-05-18T22:17:18Z","snapshot_observed_at":"2026-08-14T22:48:03.728554Z","submitted_at":"2015-05-18T22:17:18Z","title":"Z boson pole mass at two-loop order in the pure MS-bar scheme","version":1},"cited_work":{"arxiv_id":"1505.04833","doi":null,"metadata_source":"pith","pith_arxiv_id":"1505.04833","snapshot_observed_at":"2026-08-06T15:29:42.115439Z","title":"Z boson pole mass at two-loop order in the pure MS-bar scheme","venue":"hep-ph","work_id":"6bd63067-615e-47ca-9fd7-09417c8214e5","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.706793Z"},"links":{"cited_paper":"/paper/1505.04833","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:6b6061eb35189ce909ba8d791668f8841b1bf76dc01d19b954eb000593996159","observation_id":"7542d212-619f-4ef7-9ae7-dbcbcd2c1d9f","resolution":{"observed_at":"2026-08-06T15:29:42.196595Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.05042","last_updated":"2022-05-26T04:15:24Z","snapshot_observed_at":"2026-08-16T17:15:44.559846Z","submitted_at":"2022-03-09T20:56:29Z","title":"Three-loop QCD corrections to the electroweak boson masses","version":2},"cited_work":{"arxiv_id":"2203.05042","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.05042","snapshot_observed_at":"2026-08-06T15:29:41.999371Z","title":"Three-loop QCD corrections to the electroweak boson masses","venue":"hep-ph","work_id":"bf5d9f07-e8a0-421c-825d-8d8541f0b8c7","year":2022},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.711099Z"},"links":{"cited_paper":"/paper/2203.05042","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:978675b314dc01d43ad36cc645ea8e311bbab78328f7efbc0ec54f5578a7abff","observation_id":"d57e1cb4-fe0d-43ed-a1fd-75c23580c5a6","resolution":{"observed_at":"2026-08-06T15:29:42.057208Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1407.4336","last_updated":"2022-01-10T22:47:43Z","snapshot_observed_at":"2026-08-14T23:26:31.899888Z","submitted_at":"2014-07-16T15:09:00Z","title":"Higgs boson mass in the Standard Model at two-loop order and beyond","version":3},"cited_work":{"arxiv_id":"1407.4336","doi":null,"metadata_source":"pith","pith_arxiv_id":"1407.4336","snapshot_observed_at":"2026-08-06T15:29:41.839548Z","title":"Higgs boson mass in the Standard Model at two-loop order and beyond","venue":"hep-ph","work_id":"0ef6cb71-ff08-452a-a1ba-7ca657c40e7b","year":2014},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.715587Z"},"links":{"cited_paper":"/paper/1407.4336","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:bb512b351d474581a13ee704c1f9ef68f50d96aaab0f6398e76d5679d61791c5","observation_id":"6a5589a6-32a0-4933-9948-e8ca31741978","resolution":{"observed_at":"2026-08-06T15:29:41.891428Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.01134","last_updated":"2016-04-15T22:25:21Z","snapshot_observed_at":"2026-08-14T22:03:04.411675Z","submitted_at":"2016-04-05T04:47:34Z","title":"Top-quark pole mass in the tadpole-free MS-bar scheme","version":2},"cited_work":{"arxiv_id":"1604.01134","doi":null,"metadata_source":"pith","pith_arxiv_id":"1604.01134","snapshot_observed_at":"2026-08-06T15:29:41.665295Z","title":"Top-quark pole mass in the tadpole-free MS-bar scheme","venue":"hep-ph","work_id":"243786d2-e2db-4ef4-913c-e827039bdc76","year":2016},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.719466Z"},"links":{"cited_paper":"/paper/1604.01134","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:930116e93a0d0b61d8705ed75d48ad50ff5ccd0cd1cdd1ba9e9b8716f2bf44c4","observation_id":"dde979fc-72aa-455a-bd5d-49523bbc6c4d","resolution":{"observed_at":"2026-08-06T15:29:41.745957Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.04100","last_updated":"2019-01-25T04:55:33Z","snapshot_observed_at":"2026-08-16T16:17:59.837763Z","submitted_at":"2018-12-10T21:21:27Z","title":"Matching relations for decoupling in the Standard Model at two loops and beyond","version":3},"cited_work":{"arxiv_id":"1812.04100","doi":null,"metadata_source":"pith","pith_arxiv_id":"1812.04100","snapshot_observed_at":"2026-08-06T15:29:41.525496Z","title":"Matching relations for decoupling in the Standard Model at two loops and beyond","venue":"hep-ph","work_id":"be2fcb14-5fdb-4af2-b241-873c7a082035","year":2018},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.723120Z"},"links":{"cited_paper":"/paper/1812.04100","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:057ae3efea58118a41e57594a702afaae14019d4ae3fc9af736b92c6190e6b35","observation_id":"6a0dd4c1-db1d-4f00-a438-03bba50b5cbb","resolution":{"observed_at":"2026-08-06T15:29:41.579967Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.07615","last_updated":"2018-08-23T03:15:08Z","snapshot_observed_at":"2026-08-14T18:38:05.634761Z","submitted_at":"2018-08-23T03:15:08Z","title":"Two-loop effective potential for generalized gauge fixing","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.07615","snapshot_observed_at":"2026-08-06T15:29:36.727286Z","title":"Two-loop eﬀective potential for g eneralized gauge ﬁxing,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.727286Z"},"links":{"cited_paper":"/paper/1808.07615","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:18dd3eee59e33301fe3901ddb9557a6d035ea9ba5e155f4f1218a54db629724c","observation_id":"df5025d3-5488-4659-9404-9d9fc7c4736d","resolution":{"observed_at":"2026-08-06T15:29:36.727286Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.08576","last_updated":"2022-11-15T23:38:32Z","snapshot_observed_at":"2026-08-16T16:15:51.654634Z","submitted_at":"2022-11-15T23:38:32Z","title":"The Standard Model at 200 GeV","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.08576","snapshot_observed_at":"2026-08-06T15:29:36.731147Z","title":"Standard model at 200 GeV,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.731147Z"},"links":{"cited_paper":"/paper/2211.08576","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:c85365ce0fc2e9de9cd9fcc50c4a1521510af287f091e3f13e6965cada0748ea","observation_id":"7151e8f7-8e96-41c5-8e38-00fa9e0c5286","resolution":{"observed_at":"2026-08-06T15:29:36.731147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.2355","last_updated":"2014-06-22T03:10:01Z","snapshot_observed_at":"2026-08-14T23:30:59.842394Z","submitted_at":"2014-06-09T20:59:46Z","title":"Taming the Goldstone contributions to the effective potential","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.2355","snapshot_observed_at":"2026-08-06T15:29:36.735012Z","title":"Taming the Goldstone contributions to the eﬀect ive potential,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.735012Z"},"links":{"cited_paper":"/paper/1406.2355","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:ed3d73cd0693b1377c924dc158d2c137c92ec47eeaca0a7c0d7782cf135f8fb4","observation_id":"f8656192-4a60-4b11-b550-6b504d44935f","resolution":{"observed_at":"2026-08-06T15:29:36.735012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1406.2652","last_updated":"2014-06-10T18:07:52Z","snapshot_observed_at":"2026-08-14T23:30:52.289853Z","submitted_at":"2014-06-10T18:07:52Z","title":"Taming Infrared Divergences in the Effective Potential","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1406.2652","snapshot_observed_at":"2026-08-06T15:29:36.739093Z","title":"Taming Infrar ed Divergences in the Eﬀective Potential,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.739093Z"},"links":{"cited_paper":"/paper/1406.2652","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:9de544849e0aed16f1950ebaa3b37287df8ae9773a09158e76bf3e02c8e0362d","observation_id":"38b641fb-7aa6-4ea6-9b8d-108cbc4338a6","resolution":{"observed_at":"2026-08-06T15:29:36.739093Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.05610","last_updated":"2018-04-26T13:54:46Z","snapshot_observed_at":"2026-08-14T21:00:26.497428Z","submitted_at":"2017-05-16T09:31:16Z","title":"Kira - A Feynman Integral Reduction Program","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.05610","snapshot_observed_at":"2026-08-06T15:29:36.742734Z","title":"Kira—A Feynman int egral reduction program,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.742734Z"},"links":{"cited_paper":"/paper/1705.05610","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:94651ee5fd794cc568fd964d9a96c7b68d7a0da3a72040aed4bd57dbde3b9afa","observation_id":"69c0f174-8dd6-4491-8ac9-742be9636bd7","resolution":{"observed_at":"2026-08-06T15:29:36.742734Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.01491","last_updated":"2018-12-04T15:40:10Z","snapshot_observed_at":"2026-08-14T17:48:42.764818Z","submitted_at":"2018-12-04T15:40:10Z","title":"Kira 1.2 Release Notes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.01491","snapshot_observed_at":"2026-08-06T15:29:36.746664Z","title":"Kira 1.2 Release Notes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.746664Z"},"links":{"cited_paper":"/paper/1812.01491","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:896d37db17d13f0d63dff828048c72873c0e8d1ca29a69c607155b1d62e553af","observation_id":"eabd3028-61db-46d0-9c5d-cad76244d834","resolution":{"observed_at":"2026-08-06T15:29:36.746664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.06494","last_updated":"2023-02-22T22:51:09Z","snapshot_observed_at":"2026-08-13T01:46:52.597481Z","submitted_at":"2020-08-14T17:58:33Z","title":"Integral Reduction with Kira 2.0 and Finite Field Methods","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.06494","snapshot_observed_at":"2026-08-06T15:29:36.750754Z","title":"Int egral reduction with Kira 2.0 and ﬁnite ﬁeld methods,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.750754Z"},"links":{"cited_paper":"/paper/2008.06494","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:e3cc5580fc425bfc72df4d190893f86e54fe9225c7a3b4e5ba86f42a75c7e127","observation_id":"351e89ca-6566-4f26-8c44-24f82d3a7c2b","resolution":{"observed_at":"2026-08-06T15:29:36.750754Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.07720","last_updated":"2021-08-08T16:19:27Z","snapshot_observed_at":"2026-08-15T10:05:12.186989Z","submitted_at":"2016-10-25T03:53:39Z","title":"Evaluation of the general 3-loop vacuum Feynman integral","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.07720","snapshot_observed_at":"2026-08-06T15:29:36.756356Z","title":"Evaluation of the general 3 -loop vacuum Feynman integral,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.756356Z"},"links":{"cited_paper":"/paper/1610.07720","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:edcfe72bc61db038b2a0e19c39348af5793f719618e83d23d68e5fb1589e5e15","observation_id":"7c07aa2a-4154-421c-b75c-e94c024c8fc4","resolution":{"observed_at":"2026-08-06T15:29:36.756356Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0601165","last_updated":"2006-04-21T12:56:47Z","snapshot_observed_at":"2026-07-07T04:10:02.424577Z","submitted_at":"2006-01-20T16:38:18Z","title":"ep-Finite Basis of Master Integrals for the Integration-By-Parts Method","version":2},"cited_work":{"arxiv_id":"hep-ph/0601165","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0601165","snapshot_observed_at":"2026-08-06T15:29:41.211496Z","title":"ep-Finite Basis of Master Integrals for the Integration-By-Parts Method","venue":"hep-ph","work_id":"d401b7a0-a8c8-4287-a853-87236198d5ad","year":2006},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.760230Z"},"links":{"cited_paper":"/paper/hep-ph/0601165","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:58d0d2ca90c62c5dc3c1cfb0e351bf6ea790b07a550470bec9fabe82bba7845c","observation_id":"99c5e02e-4599-4977-9e36-598c7676b73f","resolution":{"observed_at":"2026-08-06T15:29:41.319614Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01559486","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Three loop on-shell charge renormalizatio n without integration: Lambda-MS (QED) to four loops,","venue":"The European Physical Journal C","work_id":"0a19bab7-ab13-49ba-bbcb-c5c3b11566f0","year":1992},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.763824Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:1a2dfad68a2d3df427abe17d34471c2c941fec22326e124339280a1cc25d8736","observation_id":"f76058e1-1c19-4837-9820-51379710e96d","resolution":{"observed_at":"2026-08-06T15:29:37.010599Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9512442","last_updated":"1995-12-29T16:41:53Z","snapshot_observed_at":"2026-07-07T04:21:39.561201Z","submitted_at":"1995-12-29T16:41:53Z","title":"Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass","version":1},"cited_work":{"arxiv_id":"hep-ph/9512442","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9512442","snapshot_observed_at":"2026-08-06T15:29:41.099188Z","title":"Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass","venue":"hep-ph","work_id":"ec1f1651-2d46-4070-88ab-587b463cb3a7","year":1995},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.767909Z"},"links":{"cited_paper":"/paper/hep-ph/9512442","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:635c7aff6d62547d3e84fc623d9e260d59f697758228f8308176d9d24d8bab16","observation_id":"5c0ed56c-fc8e-4940-9206-f9ccada8d7de","resolution":{"observed_at":"2026-08-06T15:29:41.137629Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9803091","last_updated":"1998-03-11T09:33:09Z","snapshot_observed_at":"2026-07-07T05:16:12.441340Z","submitted_at":"1998-03-11T09:33:09Z","title":"Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9803091","snapshot_observed_at":"2026-08-06T15:29:36.771327Z","title":"Massive three-loop Feynman diagrams red ucible to SC* primitives of algebras of the sixth root of unity,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.771327Z"},"links":{"cited_paper":"/paper/hep-th/9803091","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:e14ae8d6884bfe191637c66d08d774eeb2d0bb138cbd6d9bd121cd49b9b5dd10","observation_id":"eedbc558-8adb-4893-9a17-f511ca772476","resolution":{"observed_at":"2026-08-06T15:29:36.771327Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9910223","last_updated":"2001-01-12T17:39:55Z","snapshot_observed_at":"2026-08-15T10:07:59.978529Z","submitted_at":"1999-10-04T18:18:14Z","title":"Single mass scale diagrams: construction of a basis for the $\\epsilon$-expansion","version":3},"cited_work":{"arxiv_id":"hep-ph/9910223","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/9910223","snapshot_observed_at":"2026-08-06T15:29:40.924087Z","title":"Single mass scale diagrams: construction of a basis for the $\\epsilon$-expansion","venue":"hep-ph","work_id":"c46ecdc8-fbac-4688-9885-57df7bffff78","year":1999},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.774975Z"},"links":{"cited_paper":"/paper/hep-ph/9910223","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:8ccd92835240c3aef49c38415ae654636f6b182a263f212d529b2f8f1352362d","observation_id":"421a56cd-041c-4268-a2b5-4b0a4558d957","resolution":{"observed_at":"2026-08-06T15:29:41.012506Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0009029","last_updated":"2000-09-04T11:39:12Z","snapshot_observed_at":"2026-08-16T13:15:12.555422Z","submitted_at":"2000-09-04T11:39:12Z","title":"MATAD: a program package for the computation of MAssive TADpoles","version":1},"cited_work":{"arxiv_id":"hep-ph/0009029","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0009029","snapshot_observed_at":"2026-08-06T15:29:40.646393Z","title":"MATAD: a program package for the computation of MAssive TADpoles","venue":"hep-ph","work_id":"16d58e76-f3d7-41d3-ac3b-e8b2ba033682","year":2000},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.778847Z"},"links":{"cited_paper":"/paper/hep-ph/0009029","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:64242c598b850422344c9eab712ae8f4e90ccff53c23da0e2053a6829641db4c","observation_id":"396c0365-f355-4e16-b865-a8d9eb426395","resolution":{"observed_at":"2026-08-06T15:29:40.774975Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0503209","last_updated":"2005-03-21T21:09:56Z","snapshot_observed_at":"2026-08-07T13:56:24.020133Z","submitted_at":"2005-03-21T21:09:56Z","title":"High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles","version":1},"cited_work":{"arxiv_id":"hep-ph/0503209","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0503209","snapshot_observed_at":"2026-08-06T15:29:40.459818Z","title":"High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles","venue":"hep-ph","work_id":"6cea5320-0062-495d-afbb-bd46de48b71f","year":2005},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.783142Z"},"links":{"cited_paper":"/paper/hep-ph/0503209","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:79f16b55a64b81bc1ac9ca0c5305d7716c1d3e712b72502d0a3aa8a70ba9b4a0","observation_id":"57c23740-58e3-4b1d-9f91-098e81a4d6a2","resolution":{"observed_at":"2026-08-06T15:29:40.548646Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0303162","last_updated":"2004-10-12T19:57:45Z","snapshot_observed_at":"2026-08-15T20:43:05.661865Z","submitted_at":"2003-03-18T22:00:32Z","title":"Massive Feynman diagrams and inverse binomial sums","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0303162","snapshot_observed_at":"2026-08-06T15:29:36.786770Z","title":"Massive Feynman diagra ms and inverse binomial sums,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.786770Z"},"links":{"cited_paper":"/paper/hep-th/0303162","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:1842af7a21f169f13917d24c90eaf083d50b2c6c4275face59fc64842c97c460","observation_id":"16277d3d-28f9-411f-a597-6ffbe822559c","resolution":{"observed_at":"2026-08-06T15:29:36.786770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0503070","last_updated":"2005-06-03T00:44:39Z","snapshot_observed_at":"2026-07-07T04:06:52.569674Z","submitted_at":"2005-03-07T23:07:49Z","title":"About higher order epsilon-expansion of some massive two- and three-loop master-integrals","version":3},"cited_work":{"arxiv_id":"hep-ph/0503070","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0503070","snapshot_observed_at":"2026-08-06T15:29:40.228513Z","title":"About higher order epsilon-expansion of some massive two- and three-loop master-integrals","venue":"hep-ph","work_id":"d9f7aa4d-4934-40b9-80b2-1bbee20e3f68","year":2005},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.790471Z"},"links":{"cited_paper":"/paper/hep-ph/0503070","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:b84f24beb1abebe8bb93fab2af1aea5f1106d97045972d350bab5f64368779f3","observation_id":"496840d0-5f66-4596-a773-e5ab00adac74","resolution":{"observed_at":"2026-08-06T15:29:40.327077Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0903.4760","last_updated":"2009-12-27T14:51:42Z","snapshot_observed_at":"2026-08-15T05:52:00.365837Z","submitted_at":"2009-03-27T10:23:14Z","title":"Three-loop on-shell Feynman integrals with two masses","version":3},"cited_work":{"arxiv_id":"0903.4760","doi":null,"metadata_source":"pith","pith_arxiv_id":"0903.4760","snapshot_observed_at":"2026-08-06T15:29:40.000310Z","title":"Three-loop on-shell Feynman integrals with two masses","venue":"hep-ph","work_id":"394bf3af-984e-4093-b7f7-50fcb726620d","year":2009},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.794013Z"},"links":{"cited_paper":"/paper/0903.4760","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:19613fd480d299fb2b2f34dc4b76644544ed5fb092a66fea610e04c89fbba393","observation_id":"8f12a45d-2ae3-4f06-9a5b-a26b0c8322bd","resolution":{"observed_at":"2026-08-06T15:29:40.128344Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1206.3418","last_updated":"2012-06-15T10:34:52Z","snapshot_observed_at":"2026-08-15T00:56:45.635515Z","submitted_at":"2012-06-15T10:34:52Z","title":"Moments of heavy quark correlators with two masses: exact mass dependence to three loops","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.3418","snapshot_observed_at":"2026-08-06T15:29:36.797833Z","title":"Moments o f heavy quark correlators with two masses: exact mass dependence to three loops,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.797833Z"},"links":{"cited_paper":"/paper/1206.3418","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:9726bc654b911a5dfd2dcaf4835a27dd7c096d4425438e573023d4bc9682d1f6","observation_id":"3e3b3ddf-ade7-4a86-aa94-a7277529ead3","resolution":{"observed_at":"2026-08-06T15:29:36.797833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.07694","last_updated":"2022-02-23T21:21:55Z","snapshot_observed_at":"2026-08-16T20:15:53.549710Z","submitted_at":"2021-12-14T19:00:10Z","title":"Renormalized $\\epsilon$-finite master integrals and their virtues: the three-loop self energy case","version":2},"cited_work":{"arxiv_id":"2112.07694","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.07694","snapshot_observed_at":"2026-08-06T15:29:39.725385Z","title":"Renormalized $\\epsilon$-finite master integrals and their virtues: the three-loop self energy case","venue":"hep-ph","work_id":"6b6df3a8-1010-4796-8454-17f3fa0dde7a","year":2021},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.801670Z"},"links":{"cited_paper":"/paper/2112.07694","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:362f89877728171e19cca36499103a336eff7027adebb6cf75b389520212fe3b","observation_id":"d3e7ed05-19ab-4511-9bd4-f1af8c2c81ba","resolution":{"observed_at":"2026-08-06T15:29:39.865656Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.805290Z","title":"Two Loop Diagrams in Yang-Mills Theory,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.805290Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:83159b8752809cb99e8e86959aabfe930dc4d0ff75c5cbde02e8fa372e8d219e","observation_id":"bb4b0519-5bbb-4a0f-abec-f66e133dd813","resolution":{"observed_at":"2026-08-06T15:29:36.805290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.809287Z","title":"Asymptotic Behavior of Nonabelian Gauge Theorie s to Two Loop Order,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.809287Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d4189582b2d5e9675e6aa02752a8a8a3f8c044815e2c5f13f030330d9ff709ee","observation_id":"f0a37d5a-0803-4180-99c2-030131f730a6","resolution":{"observed_at":"2026-08-06T15:29:36.809287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.25.581","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"The Two Loop beta Function for a G(1) x G(2) G auge Theory,","venue":"Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields","work_id":"8bd5eec4-9b70-44be-bf94-7866ae2ef99b","year":1982},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.812637Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:e220bb42c02cef6cc29c51641b9dad1d158dd2527195786b8c0a029575aff4b1","observation_id":"72e5320c-2e8c-4dc1-a9fc-0d86dec4be3c","resolution":{"observed_at":"2026-08-06T15:29:36.978166Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.816187Z","title":"Two Loop Renormalization Gr oup Equations in a General Quantum Field Theory. 1. Wave Function Renormalization,","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.816187Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:6121901d97942f91b19abd4e48b904141111944b6dfd33b2032427b322bd3449","observation_id":"23e587f9-8a42-4701-99eb-5def47490e99","resolution":{"observed_at":"2026-08-06T15:29:36.816187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.822984Z","title":"Two Loop Renormalization Gr oup Equations in a General Quan- tum Field Theory. 3. Scalar Quartic Couplings,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.822984Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d54a41786adabfd912f17cca008e3aa3dc04f4139461f780687814893e1c845b","observation_id":"1ee0a30d-9b87-4937-9748-9b3123ad7bd8","resolution":{"observed_at":"2026-08-06T15:29:36.822984Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0207271","last_updated":"2003-01-10T12:05:18Z","snapshot_observed_at":"2026-07-07T03:56:48.694104Z","submitted_at":"2002-07-23T04:26:16Z","title":"Two-loop Renormalization Group Equations in the Standard Model","version":2},"cited_work":{"arxiv_id":"hep-ph/0207271","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-ph/0207271","snapshot_observed_at":"2026-08-06T15:29:39.462638Z","title":"Two-loop Renormalization Group Equations in the Standard Model","venue":"hep-ph","work_id":"ce4ac2f5-c49f-4d8e-8f7f-f1bc628a99eb","year":2002},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.826920Z"},"links":{"cited_paper":"/paper/hep-ph/0207271","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:467babaa7a9776e92260b468fa0c02c24f090e492f4e91e3f777c4916238bb50","observation_id":"3c2737cd-26b0-41d2-97b9-995d5d36a895","resolution":{"observed_at":"2026-08-06T15:29:39.568832Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:29:36.830738Z","title":"The Gell-Man n-Low Function of QCD in the Three Loop Approximation,","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.830738Z"},"links":{"citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:5e92ea7081e679ffe1dde6cb6fb8c452e0ee572e85516ae11205939ad67f16ba","observation_id":"2352481c-ccbf-4000-bd7d-02ec77d6d202","resolution":{"observed_at":"2026-08-06T15:29:36.830738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9302208","last_updated":"1993-02-03T14:26:25Z","snapshot_observed_at":"2026-07-30T11:46:33.108369Z","submitted_at":"1993-02-03T14:26:25Z","title":"The three-loop QCD $\\beta$-function and anomalous dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9302208","snapshot_observed_at":"2026-08-06T15:29:36.834283Z","title":"The Three loop QCD Beta f unction and anomalous dimensions,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.834283Z"},"links":{"cited_paper":"/paper/hep-ph/9302208","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:2d8ad94097d3a1adf5256f157f0a6252a2f2db4796234364ce55c0f0547244a5","observation_id":"da57e4ff-d2e4-430e-823b-fc0fc52b3866","resolution":{"observed_at":"2026-08-06T15:29:36.834283Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1201.5868","last_updated":"2012-05-29T12:42:37Z","snapshot_observed_at":"2026-08-15T04:21:14.231596Z","submitted_at":"2012-01-27T19:23:42Z","title":"Gauge Coupling Beta Functions in the Standard Model to Three Loops","version":2},"cited_work":{"arxiv_id":"1201.5868","doi":null,"metadata_source":"pith","pith_arxiv_id":"1201.5868","snapshot_observed_at":"2026-08-06T15:29:39.274288Z","title":"Gauge Coupling Beta Functions in the Standard Model to Three Loops","venue":"hep-ph","work_id":"bb3c854b-ddd4-423a-aa6a-201170c48fc8","year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.838469Z"},"links":{"cited_paper":"/paper/1201.5868","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:79d94298cf12e3537b541b7f64617b963be3cb832daec9aee8225b266c33bf48","observation_id":"d7a2d586-f1da-4a2c-87aa-5bdd209b624a","resolution":{"observed_at":"2026-08-06T15:29:39.366631Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1208.3357","last_updated":"2013-11-02T15:53:45Z","snapshot_observed_at":"2026-08-15T00:49:42.020299Z","submitted_at":"2012-08-16T12:47:16Z","title":"Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order","version":2},"cited_work":{"arxiv_id":"1208.3357","doi":null,"metadata_source":"pith","pith_arxiv_id":"1208.3357","snapshot_observed_at":"2026-08-06T15:29:39.077258Z","title":"Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order","venue":"hep-ph","work_id":"ccab7a2d-86a7-4004-923f-b417108a2ceb","year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.842286Z"},"links":{"cited_paper":"/paper/1208.3357","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:756b6a7ee84e45a949fe7adb8338ddfb1740496e48f48c45cf15282e3eda547f","observation_id":"df28259f-332f-4f11-8ed1-411c31ce56b2","resolution":{"observed_at":"2026-08-06T15:29:39.170708Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1210.6873","last_updated":"2013-03-20T13:19:48Z","snapshot_observed_at":"2026-08-15T00:41:49.992342Z","submitted_at":"2012-10-25T15:18:51Z","title":"Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops","version":4},"cited_work":{"arxiv_id":"1210.6873","doi":null,"metadata_source":"pith","pith_arxiv_id":"1210.6873","snapshot_observed_at":"2026-08-06T15:29:38.886315Z","title":"Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops","venue":"hep-ph","work_id":"95f0b35b-50a4-47d8-9ae8-0c2444b5a400","year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.845859Z"},"links":{"cited_paper":"/paper/1210.6873","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:f29ed5c46d9d23084e70e479e36a98b3145fbef2b56c772244ff6491ffdd3d44","observation_id":"99d8df78-7401-4577-b6c6-5654da725a08","resolution":{"observed_at":"2026-08-06T15:29:38.937488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/9701390","last_updated":"1997-01-27T19:39:05Z","snapshot_observed_at":"2026-07-07T04:24:53.599471Z","submitted_at":"1997-01-27T19:39:05Z","title":"The four-loop beta-function in Quantum Chromodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/9701390","snapshot_observed_at":"2026-08-06T15:29:36.849703Z","title":"The Fo ur loop beta function in quantum chromodynamics,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.849703Z"},"links":{"cited_paper":"/paper/hep-ph/9701390","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:fc244d6beee2a01068fab24601e4eab97341504ca2ce3256b2998986a46a4966","observation_id":"d934c820-3a7e-45ae-b4b2-e711f6f71481","resolution":{"observed_at":"2026-08-06T15:29:36.849703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0411261","last_updated":"2004-11-21T17:52:25Z","snapshot_observed_at":"2026-07-07T04:05:42.512890Z","submitted_at":"2004-11-19T19:18:53Z","title":"The Four-Loop QCD Beta-Function and Anomalous Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0411261","snapshot_observed_at":"2026-08-06T15:29:36.853216Z","title":"The Four-loop QCD beta-function and anomalous d imensions,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.853216Z"},"links":{"cited_paper":"/paper/hep-ph/0411261","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:5c24fb17de805ff9da8f0ff0819c33f2b613597dd943c6d4da8517585d3eca18","observation_id":"f967eda1-d214-4c8f-b238-aa57c7560f99","resolution":{"observed_at":"2026-08-06T15:29:36.853216Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.02680","last_updated":"2016-07-05T17:20:28Z","snapshot_observed_at":"2026-08-14T22:36:53.417107Z","submitted_at":"2015-08-11T18:36:19Z","title":"Four-loop strong coupling beta-function in the Standard Model","version":2},"cited_work":{"arxiv_id":"1508.02680","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.02680","snapshot_observed_at":"2026-08-06T15:29:38.703125Z","title":"Four-loop strong coupling beta-function in the Standard Model","venue":"hep-ph","work_id":"1e7479c7-506d-4d25-bf19-ae7cb89e73f0","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.857034Z"},"links":{"cited_paper":"/paper/1508.02680","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:4a9297bcad3b4fbadfbf5dc1be388bf25e5c132799272714bc678a0c55fae2f4","observation_id":"c00dfecd-f1fb-45a0-a52f-e9abe0ebfda5","resolution":{"observed_at":"2026-08-06T15:29:38.745791Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1609.02597","last_updated":"2016-09-08T21:22:11Z","snapshot_observed_at":"2026-08-14T21:40:40.888954Z","submitted_at":"2016-09-08T21:22:11Z","title":"On the four-loop strong coupling beta-function in the SM","version":1},"cited_work":{"arxiv_id":"1609.02597","doi":null,"metadata_source":"pith","pith_arxiv_id":"1609.02597","snapshot_observed_at":"2026-08-06T15:29:38.501527Z","title":"On the four-loop strong coupling beta-function in the SM","venue":"hep-ph","work_id":"44e1b190-fe8a-46b3-84f2-2f521b99b333","year":2016},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.860608Z"},"links":{"cited_paper":"/paper/1609.02597","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:8ea319f5426ddbae7a4d86775ad093a47e465ee4fa51aeafbb8e121d0a85aba8","observation_id":"cfca01b2-8224-4e44-9059-621a6b65c1c7","resolution":{"observed_at":"2026-08-06T15:29:38.589102Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.03624","last_updated":"2016-08-31T18:55:18Z","snapshot_observed_at":"2026-08-17T03:17:20.349699Z","submitted_at":"2015-08-14T19:52:20Z","title":"Top-Yukawa effects on the $\\beta$-function of the strong coupling in the SM at four-loop level","version":4},"cited_work":{"arxiv_id":"1508.03624","doi":null,"metadata_source":"pith","pith_arxiv_id":"1508.03624","snapshot_observed_at":"2026-08-06T15:29:38.284444Z","title":"Top-Yukawa effects on the $\\beta$-function of the strong coupling in the SM at four-loop level","venue":"hep-ph","work_id":"490f3390-74d4-4d7d-a93b-e1bd550d1ccd","year":2015},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.864578Z"},"links":{"cited_paper":"/paper/1508.03624","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:0cb1d996a5348001754bf2e3b6dae165b79211ba5df5125d68aa9e2586ccc86d","observation_id":"e4fb2e4b-66c0-462f-9479-734f0bbb3893","resolution":{"observed_at":"2026-08-06T15:29:38.378381Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.02749","last_updated":"2019-07-01T13:40:07Z","snapshot_observed_at":"2026-08-14T17:33:13.259254Z","submitted_at":"2019-01-09T14:00:17Z","title":"Weyl Consistency Conditions and $\\gamma_{5}$","version":2},"cited_work":{"arxiv_id":"1901.02749","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.02749","snapshot_observed_at":"2026-08-06T15:29:38.035169Z","title":"Weyl Consistency Conditions and $\\gamma_{5}$","venue":"hep-th","work_id":"77013fae-a190-4bc5-87ff-87b1bf10102b","year":2019},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.868408Z"},"links":{"cited_paper":"/paper/1901.02749","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:3ca242f6ab13d30b8904b9b9b7ed3d75e330e619c64ee021689fba819dee8a4a","observation_id":"4d1b82b6-2ebb-4bbf-8b6d-405d2d5e8d26","resolution":{"observed_at":"2026-08-06T15:29:38.155710Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.07624","last_updated":"2019-12-16T19:00:08Z","snapshot_observed_at":"2026-07-06T08:44:55.434934Z","submitted_at":"2019-12-16T19:00:08Z","title":"Gauge coupling beta functions to four-loop order in the Standard Model","version":1},"cited_work":{"arxiv_id":"1912.07624","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.07624","snapshot_observed_at":"2026-08-06T15:29:37.812562Z","title":"Gauge coupling beta functions to four-loop order in the Standard Model","venue":"hep-ph","work_id":"94f9819c-bc5c-4013-a81e-da679dfad667","year":2019},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.872013Z"},"links":{"cited_paper":"/paper/1912.07624","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d165075ba2bf76c20b6dd31860ecc05ec1a5a6d4d89c5c98a28620ccba6a90e9","observation_id":"2fe15a15-be63-40d8-b9d3-5e8841e2bb90","resolution":{"observed_at":"2026-08-06T15:29:37.924882Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08659","last_updated":"2016-08-03T10:34:19Z","snapshot_observed_at":"2026-08-16T13:06:50.992137Z","submitted_at":"2016-06-28T11:38:13Z","title":"Five-Loop Running of the QCD coupling constant","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.08659","snapshot_observed_at":"2026-08-06T15:29:36.876426Z","title":"Five-Loop Runn ing of the QCD Coupling Constant,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.876426Z"},"links":{"cited_paper":"/paper/1606.08659","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:12bbce7d140d0323c623740aa7252892a25108c4993eae1c27a5046ec39cc907","observation_id":"45e6d034-8ddb-4744-8f59-fbfe8e4d65f4","resolution":{"observed_at":"2026-08-06T15:29:36.876426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.01404","last_updated":"2017-02-09T18:32:42Z","snapshot_observed_at":"2026-08-14T21:22:24.442204Z","submitted_at":"2017-01-05T18:05:20Z","title":"The five-loop beta function of Yang-Mills theory with fermions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1701.01404","snapshot_observed_at":"2026-08-06T15:29:36.880038Z","title":"The ﬁve-loop beta function of Yang-Mills theory with fermions,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.880038Z"},"links":{"cited_paper":"/paper/1701.01404","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:c042c596f056b4460556cc9d27fa0235a86726971e2cfd418e75d48355ee5f85","observation_id":"7ca4aa8c-fec1-49d3-a1bf-60471c98c7a4","resolution":{"observed_at":"2026-08-06T15:29:36.880038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.07718","last_updated":"2017-10-19T13:48:40Z","snapshot_observed_at":"2026-08-14T20:30:41.168673Z","submitted_at":"2017-09-22T12:37:34Z","title":"The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.07718","snapshot_observed_at":"2026-08-06T15:29:36.883557Z","title":"The ﬁve- loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.883557Z"},"links":{"cited_paper":"/paper/1709.07718","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:6aa49fbef20ec99a265eda7f533e4da1614406334288401704bd245eec7fddbb","observation_id":"47c776df-24ad-4fcb-b1f2-45972f4262db","resolution":{"observed_at":"2026-08-06T15:29:36.883557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.2892","last_updated":"2012-10-05T16:58:15Z","snapshot_observed_at":"2026-08-15T04:10:00.841056Z","submitted_at":"2012-05-13T17:59:38Z","title":"Three-loop \\beta-functions for top-Yukawa and the Higgs self-interaction in the Standard Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.2892","snapshot_observed_at":"2026-08-06T15:29:36.887085Z","title":"Three-loop \\beta-functions for top-Yukawa and the Higgs self- interaction in the Standard Model,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.887085Z"},"links":{"cited_paper":"/paper/1205.2892","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d27c3acb58901fa0823854c94c66de52986c8bb0d07999a5e1dac7ce43ec312c","observation_id":"fb1461e1-51df-4d25-8535-b8b91d9b2ed4","resolution":{"observed_at":"2026-08-06T15:29:36.887085Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.6829","last_updated":"2013-03-21T07:52:47Z","snapshot_observed_at":"2026-08-15T00:34:10.110144Z","submitted_at":"2012-12-31T07:00:30Z","title":"Yukawa coupling beta-functions in the Standard Model at three loops","version":3},"cited_work":{"arxiv_id":"1212.6829","doi":null,"metadata_source":"pith","pith_arxiv_id":"1212.6829","snapshot_observed_at":"2026-08-06T15:29:37.613311Z","title":"Yukawa coupling beta-functions in the Standard Model at three loops","venue":"hep-ph","work_id":"bae3e981-e22e-4aba-b7fa-eaaea13db3c7","year":2012},"citing_paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme","version":1},"reference_index":102,"source":"pdf_text","source_observed_at":"2026-08-06T15:29:36.891013Z"},"links":{"cited_paper":"/paper/1212.6829","citing_paper":"/paper/2507.15946"},"observation_digest":"sha256:d05abe15e64fdd4765d6581aef171b74fd24a869df1b78db7c1cd0c48b15e66a","observation_id":"bf88f8c4-5c28-4aff-8faa-112c35bc0c33","resolution":{"observed_at":"2026-08-06T15:29:37.663933Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.15946","last_updated":"2025-07-21T18:00:06Z","latest_version":1,"primary_category":"hep-ph","snapshot_observed_at":"2026-08-15T18:59:17.353162Z","submitted_at":"2025-07-21T18:00:06Z","title":"Three-loop corrections to the Fermi decay constant in the $\\overline{\\rm{MS}}$ scheme"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":57,"verified_exact":41,"verified_fuzzy":0},"total_outbound_references":107},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 100 of 107 outbound references and 2 inbound Pith citation observations for arXiv:2507.15946."}