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Update on the isospin breaking corrections to the HVP with C-periodic boundary conditions

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arxiv 2502.14845 v1 pith:HNQCSUYH submitted 2025-02-20 hep-lat

Anian Altherr , Isabel Campos , Alessandro Cotellucci , Roman Gruber , Tim Harris , Javad Komijani , Jens Lücke , Marina Krstić Marinković
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Letizia Parato Agostino Patella Sara Rosso Paola Tavella
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classification hep-lat
keywords boundaryconditionscorrectionsgaugeinvarianceperiodicquarksbeta
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the RC$^\star$ collaboration, we simulate lattice QCD+QED using $C-$periodic spatial boundary conditions to ensure that locality, gauge invariance, and translational invariance are preserved throughout the calculation. We present our progress in computing isospin-breaking (IB) corrections to the leading hadronic contribution to $(g-2)_\mu$. We compare two ways of including the IB corrections: the RM123 method and dynamical QCD+QED simulations, both with $C-$periodic boundary conditions. The two calculations are performed at $\beta=3.24$ with four flavours of $\mathcal{O}(a)-$improved Wilson fermions; the QCD ensemble features $SU(3)-$symmetric sea quarks plus charm, while down and strange quarks are degenerate in QCD+QED gauge ensembles.

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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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