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arxiv 1208.4194 v1 pith:HRE4Q7HO submitted 2012-08-21 hep-ph

Hadronic contributions to the anomalous magnetic moment of the electron and the hyperfine splitting of muonium

classification hep-ph
keywords hadroniccontributiondataorderanomalouscdotcontributionselectron
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Motivated by recent progress of theory and experiment on the anomalous magnetic moment of the electron, a_e, we update the hadronic contributions to a_e. Using our up-to-date compilation of e^+ e^- \to hadrons data, we find the leading order hadronic contribution a_e^{had,LO,VP} = (1.866 \pm 0.010_{exp} \pm 0.005_{rad}) \cdot 10^{-12} and the next-to-leading order hadronic contribution a_e^{had,NLO,VP} = (- 0.2234 \pm 0.0012_{exp} \pm 0.0007_{rad}) \cdot 10^{-12}, where the first and second errors are from the error of the experimental data and the uncertainty in the treatment of radiative corrections, respectively. These values are compatible with earlier evaluations by other groups, but have significantly improved uncertainties due to the more precise input data used. We also update the leading order hadronic contribution to the ground state hyperfine splitting of muonium, obtaining \Delta \nu_{Mu}^{had,VP} = (232.68 \pm 1.25_{exp} \pm 0.72_{rad}) Hz. This value is consistent with the most precise evaluation in the literature and reduces its error by a factor of two.

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  1. Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects

    physics.atom-ph 2026-07 accept novelty 6.0

    The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.