Renormalization of the flavor-singlet axial-vector current and its anomaly in QCD

Abstract

The renormalization constant $Z_J$ of the flavor-singlet axial-vector current with a non-anticommuting ${\gamma }_5$ in dimensional regularization is determined to order ${\alpha }_s^3$ in QCD with massless quarks. In addition, the equality between the $\overline{\mathrm{MS}}$ renormalization constant $Z_{F\tilde{F}}$ associated with the operator $[F\tilde{F}{]}_R$ and that of ${\alpha }_s$ is verified explicitly to hold true at 4-loop order.

arXiv commentContribution to the Proceedings of the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest), 2021

References in corpus (13)

• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Facts of life with gamma(5)
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
• A prescription for projectors to compute helicity amplitudes in D dimensions
• Pseudo-scalar Form Factors at Three Loops in QCD
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• ${\gamma }_5$ in FDH
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• Fermion Traces Without Evanescence
• The three-loop singlet contribution to the massless axial-vector quark form factor
• Renormalization of the topological charge density in QCD with dimensional regularization