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

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.

Comments: 9 pages, 4 figures, to be published in Proceedings of Science, contribution to the 39th International Symposium on Lattice Field Theory, LATTICE2022, Bonn, Germany