Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Abstract We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a non-anticommuting γ 5. A possible applicati...

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Main Authors: Long Chen, Michał Czakon
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2022)187
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author Long Chen
Michał Czakon
author_facet Long Chen
Michał Czakon
author_sort Long Chen
collection DOAJ
description Abstract We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a non-anticommuting γ 5. A possible application of the result for the singlet axial current operator is the extraction of the non-decoupling mass logarithms in the axial quark form factors.
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spelling doaj.art-ccc6644396d14daba812e1a19a1ef7012022-12-22T04:11:58ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022111710.1007/JHEP01(2022)187Renormalization of the axial current operator in dimensional regularization at four-loop in QCDLong Chen0Michał Czakon1Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityAbstract We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a non-anticommuting γ 5. A possible application of the result for the singlet axial current operator is the extraction of the non-decoupling mass logarithms in the axial quark form factors.https://doi.org/10.1007/JHEP01(2022)187NLO ComputationsQCD Phenomenology
spellingShingle Long Chen
Michał Czakon
Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
Journal of High Energy Physics
NLO Computations
QCD Phenomenology
title Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
title_full Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
title_fullStr Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
title_full_unstemmed Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
title_short Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
title_sort renormalization of the axial current operator in dimensional regularization at four loop in qcd
topic NLO Computations
QCD Phenomenology
url https://doi.org/10.1007/JHEP01(2022)187
work_keys_str_mv AT longchen renormalizationoftheaxialcurrentoperatorindimensionalregularizationatfourloopinqcd
AT michałczakon renormalizationoftheaxialcurrentoperatorindimensionalregularizationatfourloopinqcd