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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

classification hep-lat
keywords latticevacuumcalculatingcorrectionhadronicpolarizationprecisionthree
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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-violating vacuum polarization in the muon $(g-2)$ with SU(3) flavour symmetry from lattice QCD

    hep-lat 2025-05 conditional novelty 6.0 of 10

    First lattice QCD determination of the isospin-violating (3,8) hadronic vacuum polarization contribution to muon (g-2), giving 2 aµ^{HVP,38} = 21.8(3.1) × 10^{-11} at Mπ=MK≈416 MeV.

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