Renormalization of the flavor-singlet axial-vector current and its anomaly at N(3LO) 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 $\big[F \tilde{F} \big]_{R}$ and that of $\alpha_s$ is verified explicitly to hold true at 4-loop order.
- Publication:
-
European Physical Society Conference on High Energy Physics
- Pub Date:
- 2022
- DOI:
- 10.22323/1.398.0413
- arXiv:
- arXiv:2109.12304
- Bibcode:
- 2022epsc.confE.413C
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 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