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arXiv · 2109.12304

Renormalization of the flavor-singlet axial-vector current and its anomaly in QCD

Long Chen
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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.

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Long Chen. 2021-09-25. Renormalization of the flavor-singlet axial-vector current and its anomaly in QCD. https://arxiv.org/abs/2109.12304

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