Systematic errors in partially-quenched QCD plus QED lattice simulations

TL;DR

This paper investigates electromagnetic effects in lattice QCD+QED simulations, presenting preliminary results on corrections to light pseudoscalar meson masses and discussing systematic errors at high precision levels.

Contribution

It introduces a method to include electromagnetic effects in lattice QCD simulations by superimposing U(1) degrees of freedom on existing configurations, providing initial results and error analysis.

Findings

Electromagnetic corrections to pseudoscalar meson masses are quantified.

Systematic errors in electromagnetic effects are identified and discussed.

Preliminary results demonstrate the feasibility of including QED effects in lattice QCD.

Abstract

At the precision reached in current lattice QCD calculations, electromagnetic effects are becoming numerically relevant. Here, electromagnetic effects are included by superimposing $\mathrm{U}(1)$ degrees of freedom on $N_f = 2+1$ QCD configurations from the Budapest-Marseille-Wuppertal Collaboration. We present preliminary results for the electromagnetic corrections to light pseudoscalars mesons masses and discuss some of the associated systematic errors.