{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SZBKM2ET226BNIIXNVDJCK2EYW","short_pith_number":"pith:SZBKM2ET","schema_version":"1.0","canonical_sha256":"9642a66893d6bc16a1176d46912b44c5ade971a8b6973f25dfedd68a3ae3d920","source":{"kind":"arxiv","id":"1612.08711","version":3},"attestation_state":"computed","paper":{"title":"Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on $\\Lambda_\\mathrm{QCD}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Go Mishima, Hiromasa Takaura, Yukinari Sumino","submitted_at":"2016-12-27T19:18:01Z","abstract_excerpt":"In the context of OPE and using the large-$\\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff, and then we extract a genuine UV contribution $X_\\mathrm{UV}$ as a cutoff-independent part. $X_\\mathrm{UV}$ includes power corrections $\\sim (\\Lambda_\\mathrm{QCD}^2/Q^2)^n$ which are independent of renormalons. Using the integration-by-regions method, we observe that $X_\\mathrm{UV}$ coincides with the leading Wilson coefficient in OPE and also clarify that "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1612.08711","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-12-27T19:18:01Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"fcdc831220119fd2d0e7771bf52d295b8bc082ad9d163f9d6df34d88f70a7f22","abstract_canon_sha256":"2336393b7f0549c10eae3e2fd6249bca0087e68a3d3e2229782858e9eabe1790"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:19.366943Z","signature_b64":"VK7H06We/Oxjh/fWlJf9XvjRtRGhrimrfHAfwdTIFjpTXOdbFKyK3NPZv7g3u4Jq18clap5KK3Iu2kQvgNYmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9642a66893d6bc16a1176d46912b44c5ade971a8b6973f25dfedd68a3ae3d920","last_reissued_at":"2026-05-18T00:40:19.366253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:19.366253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on $\\Lambda_\\mathrm{QCD}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Go Mishima, Hiromasa Takaura, Yukinari Sumino","submitted_at":"2016-12-27T19:18:01Z","abstract_excerpt":"In the context of OPE and using the large-$\\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff, and then we extract a genuine UV contribution $X_\\mathrm{UV}$ as a cutoff-independent part. $X_\\mathrm{UV}$ includes power corrections $\\sim (\\Lambda_\\mathrm{QCD}^2/Q^2)^n$ which are independent of renormalons. Using the integration-by-regions method, we observe that $X_\\mathrm{UV}$ coincides with the leading Wilson coefficient in OPE and also clarify that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08711","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.08711","created_at":"2026-05-18T00:40:19.366334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.08711v3","created_at":"2026-05-18T00:40:19.366334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08711","created_at":"2026-05-18T00:40:19.366334+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZBKM2ET226B","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZBKM2ET226BNIIX","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZBKM2ET","created_at":"2026-05-18T12:30:44.179134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW","json":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW.json","graph_json":"https://pith.science/api/pith-number/SZBKM2ET226BNIIXNVDJCK2EYW/graph.json","events_json":"https://pith.science/api/pith-number/SZBKM2ET226BNIIXNVDJCK2EYW/events.json","paper":"https://pith.science/paper/SZBKM2ET"},"agent_actions":{"view_html":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW","download_json":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW.json","view_paper":"https://pith.science/paper/SZBKM2ET","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.08711&json=true","fetch_graph":"https://pith.science/api/pith-number/SZBKM2ET226BNIIXNVDJCK2EYW/graph.json","fetch_events":"https://pith.science/api/pith-number/SZBKM2ET226BNIIXNVDJCK2EYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW/action/storage_attestation","attest_author":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW/action/author_attestation","sign_citation":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW/action/citation_signature","submit_replication":"https://pith.science/pith/SZBKM2ET226BNIIXNVDJCK2EYW/action/replication_record"}},"created_at":"2026-05-18T00:40:19.366334+00:00","updated_at":"2026-05-18T00:40:19.366334+00:00"}