On the Charm Contribution to the Muon $g-2$ Light-by-Light

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Main Authors: Bijnens, Johan, Hermansson-Truedsson, Nils, Rodríguez-Sánchez, Antonio
Format: Preprint
Published: 2025
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author Bijnens, Johan
Hermansson-Truedsson, Nils
Rodríguez-Sánchez, Antonio
author_facet Bijnens, Johan
Hermansson-Truedsson, Nils
Rodríguez-Sánchez, Antonio
contents We combine existing perturbative results to show that a precise analytic determination of the charm-quark contribution to the hadronic light-by-light (HLbL) part of the muon anomalous magnetic moment is possible. Working in the $\overline{\mathrm{MS}}$ scheme, we include the NLO $\mathcal{O}(α_s)$ correction, which significantly reduces the residual renormalization-scale dependence and the perturbative uncertainty. Our final result is $a_μ^{\mathrm{HLbLc}}=3.65(25)\times 10^{-11}$, in good agreement with recent lattice determinations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13097
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Charm Contribution to the Muon $g-2$ Light-by-Light
Bijnens, Johan
Hermansson-Truedsson, Nils
Rodríguez-Sánchez, Antonio
High Energy Physics - Phenomenology
We combine existing perturbative results to show that a precise analytic determination of the charm-quark contribution to the hadronic light-by-light (HLbL) part of the muon anomalous magnetic moment is possible. Working in the $\overline{\mathrm{MS}}$ scheme, we include the NLO $\mathcal{O}(α_s)$ correction, which significantly reduces the residual renormalization-scale dependence and the perturbative uncertainty. Our final result is $a_μ^{\mathrm{HLbLc}}=3.65(25)\times 10^{-11}$, in good agreement with recent lattice determinations.
title On the Charm Contribution to the Muon $g-2$ Light-by-Light
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2511.13097