# EPS-HEP2021 conference

26-30 July 2021
Zoom
Europe/Berlin timezone

## Renormalization of the flavor-singlet axial-vector current and its anomaly at $N^3LO$ in QCD

30 Jul 2021, 09:45
15m
Zoom

#### Zoom

Parallel session talk QCD and Hadronic Physics

### Speaker

Long Chen (Max Planck Institute for Physics)

### Description

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. The result is obtained by computing the matrix elements of the operators appearing in the axial-anomaly equation between the vacuum and a state of two (off-shell) gluons to 4-loop order. Furthermore, through this computation, 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.

Collaboration / Activity yes longchen@physik.rwth-aachen.de Long Chen

### Primary author

Long Chen (Max Planck Institute for Physics)