Two Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results

TL;DR

This paper presents two-loop order calculations in partially quenched and finite volume chiral perturbation theory, providing finite volume corrections and mass/decay constant results relevant for lattice QCD.

Contribution

It introduces two-loop finite volume corrections and mass/decay constant calculations in partially quenched chiral perturbation theory, advancing precision in lattice QCD analyses.

Findings

Finite volume corrections at two loops for the quark condensate.

A Lüscher-like finite volume formula for the quark condensate.

Two-loop calculations of meson masses and decay constants for various quark masses.

Abstract

This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L\"uscherlike finite volume formula for it. The latter allows for an alternative determination of meson sigma terms. The second set of results presented here are the calculations at two loops in partially quenched chiral perturbation theory of masses and decay constants of the charged mesons. We present results for all relevant quark mass combinations for the cases with two and three sea quarks.