We provide the $\bar{ \mathrm{ MS}}$ 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.
Categories: hep-ph hep-th