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

preprint2022arXivOpen access

We provide the $\bar{\mathrm{MS}}$ factor of the renormalization constant of the singlet axial-current operator in dimensional regularization at $\mathcal{O}(α_s^5)$ 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.

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

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The MSˉ\bar{\mathrm{MS}}MSˉ renormalization constant of the singlet axial current operator at O(αs5)\mathcal{O}(α_s^5)O(αs5​) in QCD

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