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Calculating the QED correction to the hadronic vacuum polarisation on the lattice

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arxiv 2212.12031 v1 pith:ARL7SCKH submitted 2022-12-22 hep-lat

Calculating the QED correction to the hadronic vacuum polarisation on the lattice

Gaurav Ray , Alexei Bazavov , Christine Davies , Carleton DeTar , Aida El-Khadra , Steven Gottlieb , Daniel Hatton , Hwancheol Jeong
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Andreas Kronfeld Shaun Lahert Peter Lepage Craig McNeile James Simone Alejandro Vaquero Avil\'es-Casco
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classification hep-lat
keywords latticevacuumcalculatingcorrectionhadronicpolarizationprecisionthree
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Isospin-breaking corrections to the hadron vacuum polarization component of the anomalous magnetic moment of the muon are needed to ensure the theoretical precision of $g_\mu -2$ is below the experimental precision. We describe the status of our work calculating, using lattice QCD, the QED correction to the light and strange connected hadronic vacuum polarization in a Dashen scheme. We report results using physical $N_f=2+1+1$ HISQ ensembles at three lattice spacings and three heavier-than-light valence quark masses.

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  1. Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

    hep-lat 2026-07 unverdicted novelty 6.0

    A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.