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

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.

10 pages, RC* collaboration, Contribution to the 41st International Symposium on Lattice Field Theory, 28th July-3rd August 2024, University of Liverpool, United Kingdom