Valence leading isospin breaking contributions to $a_{\mu }^{\mathrm{HVP}-\mathrm{LO}}$

Abstract

By employing the RM123 approach to QCD+QED, we computed the valence quark-connected isospin-breaking corrections to the light, strange and charm contributions at leading order in ${\alpha }_{\mathrm{em}}$ and $\left({\mu }_d-{\mu }_u\right)/{\Lambda }_{\mathrm{QCD}}$. Here we report the preliminary results on two different volumes ($L\sim 3.8$ fm and $L\sim 5.1$ fm) and a fixed lattice spacing (corresponding to $a_{\text{isoQCD }}\sim 0.07951(4)$ fm), obtained in the framework of the ongoing computation by ETMC of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment $a_{\mu }^{\mathrm{HVP}}$ in QCD+QED.

Comments: 10 pages, 5 figures, Contribution to Lattice 2024