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.
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
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Pre-published on:
March 08, 2022
Published on:
May 12, 2022
Abstract
DOI: https://doi.org/10.22323/1.398.0413
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.