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arXiv · 2112.06929

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

Martin Hoferichter·Thomas Teubner
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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 ${\mathcal O}(α^4)$. 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.

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Martin Hoferichter, Thomas Teubner. 2022-03-18. Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon. https://doi.org/10.1103/physrevlett.128.112002

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