Three-loop QCD+QED corrections to on-shell quark renormalization

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Auteurs principaux:	Chen, Long, Han, Hong-Yang, Li, Zhe, Niggetiedt, Marco
Format:	Preprint
Publié:	2026
Sujets:	High Energy Physics - Phenomenology
Accès en ligne:	Acceder al recurso
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author	Chen, Long Han, Hong-Yang Li, Zhe Niggetiedt, Marco
author_facet	Chen, Long Han, Hong-Yang Li, Zhe Niggetiedt, Marco
contents	We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(α_s^mα^n)$ with $m+n=3$. We further derive the three-loop relation between the pole mass and the $\overline{\text{MS}}$ mass of a heavy quark, including the complete mixed QCD+QED contributions. The corresponding quark-mass anomalous dimension in the presence of both interactions is also extracted. Moreover, we provide the explicit conversion formulae, up to the same perturbative order, between the pole mass and the trace-anomaly subtracted $σ$-mass of heavy quark.
format	Preprint
id	arxiv_https___arxiv_org_abs_2602_10973
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Three-loop QCD+QED corrections to on-shell quark renormalization Chen, Long Han, Hong-Yang Li, Zhe Niggetiedt, Marco High Energy Physics - Phenomenology We present the three-loop QCD+QED mixed corrections to the on-shell quark mass and wave-function renormalization constants through orders $\mathcal{O}(α_s^mα^n)$ with $m+n=3$. We further derive the three-loop relation between the pole mass and the $\overline{\text{MS}}$ mass of a heavy quark, including the complete mixed QCD+QED contributions. The corresponding quark-mass anomalous dimension in the presence of both interactions is also extracted. Moreover, we provide the explicit conversion formulae, up to the same perturbative order, between the pole mass and the trace-anomaly subtracted $σ$-mass of heavy quark.
title	Three-loop QCD+QED corrections to on-shell quark renormalization
topic	High Energy Physics - Phenomenology
url	https://arxiv.org/abs/2602.10973

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