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.

Contribution 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 (4)

• 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