PoS - Proceedings of Science
Volume 398 - The European Physical Society Conference on High Energy Physics (EPS-HEP2021) - T06: QCD and Hadronic Physics
Renormalization of the flavor-singlet axial-vector current and its anomaly at $N^3LO$ in QCD
L. Chen
Full text: Not available
Abstract
In this talk, we discuss the calculation of the renormalization constant of the flavor-singlet axial-vector current with a non-anticommuting $\gamma_5$ in dimensional regularization determined to order $\alpha_s^3$ in QCD with massless quarks.
In addition we briefly comment on the subtlety in the renormalized form of an axial-current component of a given quark flavor, and the closely related renormalization formulae of the singlet contribution to an axial quark form factor, as well as the renormalization group equations.
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