Paper Citation Record · LEDGER

The four-loop beta-function in Quantum Chromodynamics

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 32 inbound Pith citation observations for arXiv:hep-ph/9701390.

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pith.paper-citation-record.v1
hep-ph/9701390 v1

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measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 32 of 32 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:53:06.430986Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T02:28:24.338817Z

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pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d6d4048c-a978-45b3-b727-26b0f2773175 · inbound

FLAG Review 2024 cites this paper.

FLAG Review 2024 The four-loop beta-function in Quantum Chromodynamics

Reference 241

Resolution: verified exact; local_arxiv, observed 2026-05-16T00:41:58.854879Z

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Observation 7f89ff3c-b0a7-4699-896a-eea419869e6a · inbound

The Three-Point Energy Correlator in the Coplanar Limit cites this paper.

The Three-Point Energy Correlator in the Coplanar Limit The four-loop beta-function in Quantum Chromodynamics

Reference 121

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Observation d620b14f-cdc1-4bfe-bd47-b6acbaeb1622 · inbound

Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows cites this paper.

Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows The four-loop beta-function in Quantum Chromodynamics

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-12T20:30:01.938431Z

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Observation 6fe32031-fd23-448f-a269-7ce2fa109a38 · inbound

Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory cites this paper.

Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory The four-loop beta-function in Quantum Chromodynamics

Reference 194

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Observation 633e3a9e-1525-436e-be50-c579aa82daa8 · inbound

Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib cites this paper.

Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib The four-loop beta-function in Quantum Chromodynamics

Reference 118

Resolution: unresolved; no resolver link, observed 2026-08-12T13:44:24.529363Z

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Observation 23aaf37c-5d87-4b9b-b6a1-9f967ab4bc1f · inbound

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters cites this paper.

Beyond Scale Variations: Perturbative Theory Uncertainties from Nuisance Parameters The four-loop beta-function in Quantum Chromodynamics

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-12T11:06:05.245708Z

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Observation b654c0c5-181d-4470-98b0-caa46c8bc243 · inbound

Bootstrapping leading hadronic muon anomaly cites this paper.

Bootstrapping leading hadronic muon anomaly The four-loop beta-function in Quantum Chromodynamics

Reference 54

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Observation 7a5abd6e-68fb-46de-8c24-323186901639 · inbound

Three-loop jet function for boosted heavy quarks cites this paper.

Three-loop jet function for boosted heavy quarks The four-loop beta-function in Quantum Chromodynamics

Reference 87

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Observation f8b78335-386b-4f3b-83eb-673c6e1d7159 · inbound

The determination of potential scales in 2+1 flavor QCD cites this paper.

The determination of potential scales in 2+1 flavor QCD The four-loop beta-function in Quantum Chromodynamics

Reference 25

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Observation c37af306-3652-4bea-a8ce-092f700b9cb3 · inbound

Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD cites this paper.

Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD The four-loop beta-function in Quantum Chromodynamics

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-09T15:01:17.825485Z

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Observation 08fedfec-11af-41f6-9c5d-b7e45a746452 · inbound

Heavy-light meson decay constants and hyperfine splittings with the heavy-HISQ method cites this paper.

Heavy-light meson decay constants and hyperfine splittings with the heavy-HISQ method The four-loop beta-function in Quantum Chromodynamics

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-08T14:39:19.404783Z

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Observation 574c9f3e-8fe4-45ea-bd32-b9812a1ea7f5 · inbound

Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$ cites this paper.

Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$ The four-loop beta-function in Quantum Chromodynamics

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:00:03.623539Z

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Observation d934c820-3a7e-45ae-b4b2-e711f6f71481 · inbound

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme cites this paper.

Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme The four-loop beta-function in Quantum Chromodynamics

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-06T15:29:36.849703Z

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Observation 6e0efbd8-ff0c-4100-9836-af022ed7c23f · inbound

Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops cites this paper.

Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops The four-loop beta-function in Quantum Chromodynamics

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T11:36:20.570801Z

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Observation f3744006-ae06-4650-9d2b-43d021fda650 · inbound

New high-precision $b$, $c$, and $s$ masses from pseudoscalar-pseudoscalar correlators in $n_f=4$ lattice QCD cites this paper.

New high-precision $b$, $c$, and $s$ masses from pseudoscalar-pseudoscalar correlators in $n_f=4$ lattice QCD The four-loop beta-function in Quantum Chromodynamics

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-05-19T00:41:56.490091Z

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Observation 97c24808-9e18-486b-8a02-2c9cb06af638 · inbound

Renormalisation cites this paper.

Renormalisation The four-loop beta-function in Quantum Chromodynamics

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-05-21T20:24:20.999518Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c727a94a-47c5-484d-b46b-8b23a5a07524 · inbound

Parameter Inference from Final-State Entanglement in Higgs Decays cites this paper.

Parameter Inference from Final-State Entanglement in Higgs Decays The four-loop beta-function in Quantum Chromodynamics

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-03T21:04:59.120367Z

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Observation a928d153-a940-4876-a53b-4b1edf491b16 · inbound

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$ cites this paper.

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$ The four-loop beta-function in Quantum Chromodynamics

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-16T15:23:01.997448Z

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Observation 2a84ceb8-3957-45da-b033-56a82721a458 · inbound

Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination cites this paper.

Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination The four-loop beta-function in Quantum Chromodynamics

Reference 54

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Observation efbda50b-6cbe-474a-9be1-51df9c3760e9 · inbound

Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination cites this paper.

Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination The four-loop beta-function in Quantum Chromodynamics

Reference 54

Resolution: malformed identifier; no resolver link, observed 2026-08-02T17:06:47.070773Z

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Observation d0e034d8-f97f-4d93-83ac-3f98460a434f · inbound

Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential cites this paper.

Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential The four-loop beta-function in Quantum Chromodynamics

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:15:59.942307Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3e8ffc3b-7a8f-49d5-980f-9837dc9736f4 · inbound

Smooth Threshold Effects from Dimensional Regularization cites this paper.

Smooth Threshold Effects from Dimensional Regularization The four-loop beta-function in Quantum Chromodynamics

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:16:32.790347Z

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Observation 35dc0459-343a-4458-8cb9-a9225e47619b · inbound

Properties and implications of the four-loop non-singlet splitting functions in QCD cites this paper.

Properties and implications of the four-loop non-singlet splitting functions in QCD The four-loop beta-function in Quantum Chromodynamics

Reference 83

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T10:41:30.132849Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 297eac9b-635f-4759-aea6-12c8162d7c5b · inbound

Perturbative QCD as a quantitative tool in the years 1976-2000 cites this paper.

Perturbative QCD as a quantitative tool in the years 1976-2000 The four-loop beta-function in Quantum Chromodynamics

Reference 91

Resolution: metadata mismatch; local_arxiv, observed 2026-07-03T23:49:02.621300Z

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Observation db658163-49dc-4c26-8bd5-9e06972a3b83 · inbound

Perturbative QCD as a quantitative tool in the years 1976-2000 cites this paper.

Perturbative QCD as a quantitative tool in the years 1976-2000 The four-loop beta-function in Quantum Chromodynamics

Reference 93

Resolution: unresolved; no resolver link, observed 2026-08-02T11:06:01.529738Z

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Observation 1bdfb7a6-2c35-4d17-93c6-b51bc9cdafdf · inbound

Centauric 1-Jettiness in DIS and Universal Power Corrections cites this paper.

Centauric 1-Jettiness in DIS and Universal Power Corrections The four-loop beta-function in Quantum Chromodynamics

Reference 88

Resolution: verified exact; local_arxiv, observed 2026-07-04T05:09:35.215798Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d520cee4-ab58-472a-b64c-519d60587e46 · inbound

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results cites this paper.

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results The four-loop beta-function in Quantum Chromodynamics

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-07-01T10:55:42.382796Z

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Observation a95d9e21-df5f-477b-861a-501157c331b2 · inbound

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results cites this paper.

Optimization of perturbation series in QCD for physical quantities using the renormalization group: necessary conditions and partial results The four-loop beta-function in Quantum Chromodynamics

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T10:04:16.657313Z

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Observation e788e78c-75d9-4dd9-a68c-a9426c152a89 · inbound

Renormalon subtracted nonrelativistic QCD for heavy hadron systems cites this paper.

Renormalon subtracted nonrelativistic QCD for heavy hadron systems The four-loop beta-function in Quantum Chromodynamics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T06:28:48.954810Z

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Observation 224b75f8-3155-4834-994c-f26933440b06 · inbound

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space cites this paper.

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space The four-loop beta-function in Quantum Chromodynamics

Reference 99

Resolution: unresolved; no resolver link, observed 2026-08-02T06:20:32.004013Z

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Observation f3dd978a-af7e-4d30-9039-a1ae14d9d090 · inbound

Heavy Jet Mass in Hadronic Higgs Decays cites this paper.

Heavy Jet Mass in Hadronic Higgs Decays The four-loop beta-function in Quantum Chromodynamics

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-01T03:17:56.068498Z

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Observation 1d8e3da6-0125-43e0-bf40-75fc154e788b · inbound

Bare effective potential and Goldstone boson anti-resummation cites this paper.

Bare effective potential and Goldstone boson anti-resummation The four-loop beta-function in Quantum Chromodynamics

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-08T00:29:35.767418Z

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