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- W4383604320 abstract "Puzzles in the determination of the hadronic-vacuum-polarization contribution currently impede a conclusive interpretation of the precision measurement of the anomalous magnetic moment of the muon at the Fermilab experiment. One such puzzle concerns tensions between evaluations in lattice QCD and using $e^+e^-totext{hadrons}$ cross-section data. In lattice QCD, the dominant isospin-symmetric part and isospin-breaking (IB) corrections are calculated separately, with very different systematic effects. Identifying these two pieces in a data-driven approach provides an opportunity to compare them individually and trace back the source of the discrepancy. Here, we estimate the IB component of the lattice-QCD calculations from phenomenology, based on a comprehensive study of exclusive contributions that can be enhanced via infrared singularities, threshold effects, or hadronic resonances, including, for the first time, in the $e^+e^-to3pi$ channel. We observe sizable cancellations among different channels, with a sum that even suggests a slightly larger result for the QED correction than obtained in lattice QCD. We conclude that the tensions between lattice QCD and $e^+e^-$ data therefore cannot be explained by the IB contributions in the lattice-QCD calculations." @default.
- W4383604320 created "2023-07-08" @default.
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- W4383604320 date "2023-07-05" @default.
- W4383604320 modified "2023-09-27" @default.
- W4383604320 title "A phenomenological estimate of isospin breaking in hadronic vacuum polarization" @default.
- W4383604320 doi "https://doi.org/10.48550/arxiv.2307.02532" @default.
- W4383604320 hasPublicationYear "2023" @default.
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