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

Journal of High Energy Physics, vol. 2022

Abstract

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 γ5. 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.

Authors 2

1. Long Chen corresponding Aachen Institut für Theoretische Teilchenphysik und Kosmologie

   RWTH Aachen University

   Affiliation as printed

   Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, Sommerfeldstr. 16, 52056, Aachen, Germany

2. Michał Czakon Aachen Institut für Theoretische Teilchenphysik und Kosmologie

   RWTH Aachen University

   Affiliation as printed

   Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, Sommerfeldstr. 16, 52056, Aachen, Germany