Electromagnetic Corrections to Meson Masses and the HVP

Abstract

We present an exploratory study of the electromagnetic corrections to meson masses and the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. These corrections are estimated with two different approaches, a stochastic approach using $U(1)$ gauge configurations for the photon fields, and a perturbative approach through a QED perturbative expansion of the QCD+QED path integral. We compare results and statistical errors from both methods.

14 pages, 11 figures, presented at the 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK