Finite Volume and Partially Quenched QCD-like Effective Field Theories

TL;DR

This paper extends effective field theory calculations for QCD-like theories to include finite volume and partial quenching effects, providing analytical results and numerical tools for lattice QCD extrapolations.

Contribution

It introduces two-loop calculations incorporating partial quenching and finite volume for three QCD-like symmetry breaking patterns, with analytical results and computational tools.

Findings

Reproduces known infinite volume unquenched results.

Provides analytical formulas for meson masses and decay constants.

Includes numerical programs in the CHIRON package.

Abstract

We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns $SU(N_F)\times SU(N_F)\to SU(N_F)_V$, $SU(N_F)\to SO(N_F)$ and $SU(2N_F)\to Sp(2 N_F)$ in the effective field theory for these cases. We extend the previous two-loop work to include effects of partial quenching and finite volume. The calculation has been performed using the quark flow technique. We reproduce the known infinite volume results in the unquenched case. The analytical results can be found in the supplementary material. Some examples of numerical results are given. The numerical programs for all cases are included in version 0.54 of the CHIRON package. The purpose of this work is the use in lattice extrapolations to zero mass for QCD-like and strongly interacting Higgs sector lattice calculations.