The $\overline{\mathrm{MS}}$ renormalization constant of the singlet axial current operator at $\mathcal{O}({\alpha }_s^5)$ in QCD

Abstract

We provide the $\overline{\mathrm{MS}}$ factor of the renormalization constant of the singlet axial-current operator in dimensional regularization at $\mathcal{O}({\alpha }_s^5)$ in perturbative Quantum Chromodynamics (QCD). The result is obtained from a formula derived using the Adler-Bell-Jackiw equation in terms of renormalized operators. The required input consists of the complete four-loop results for operator renormalization constants obtained by explicit diagrammatic computation in a previous publication.

Comments: Additional comments on the Wilson coefficient added