Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon

Abstract

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-to-leading-order insertions of hadronic vacuum polarization and next-to-leading-order corrections to hadronic light-by-light scattering. This leaves a set of mixed leptonic and hadronic corrections in the form of double-bubble topologies as the only remaining hadronic effect at $\mathcal{O}({\alpha }^4)$. Here, we estimate these contributions by analyzing the respective cuts of the diagrams, suggesting that the impact is limited to $\lesssim 1\times 10^{-11}$ and thus negligible at the level of the final precision of the Fermilab $g-2$ experiment.

7 pages, 2 figures

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Cited by in corpus (15)

• Kaon electromagnetic form factors in dispersion theory
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Improved evaluation of the electroweak contribution to muon $g-2$
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
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