Electromagnetic Corrections to Meson Masses and the HVP
V. Guelpers, J. Harrison, P.A. Boyle, A. Juttner, A. Portelli, C. Sachrajda
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.