Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory

TL;DR

This paper extends Partially Quenched Chiral Perturbation Theory to include electromagnetic effects, calculating loop corrections for meson properties and demonstrating practical computational advantages.

Contribution

It introduces a method to incorporate photons into PQChPT and computes electromagnetic corrections at NLO for meson masses and decay constants.

Findings

Electromagnetic loop corrections are quantified at NLO.

Photon effects can be included without dynamical photons in simulations.

The approach enables consistent calculations of phenomenologically relevant quantities.

Abstract

We introduce photons in Partially Quenched Chiral Perturbation Theory and calculate the resulting electromagnetic loop-corrections at NLO for the charged meson masses and decay constants. We also present a numerical analysis to indicate the size of the different corrections. We show that several phenomenologically relevant quantities can be calculated consistently with photons which couple only to the valence quarks, allowing the use of gluon configurations produced without dynamical photons.