ChPT meets lattice: finite volume and partial quenching for masses, decay constants and VEVs at NNLO

TL;DR

This paper provides analytical two-loop order expressions for finite volume and partial quenching effects in Chiral Perturbation Theory, aiding lattice QCD computations of mesonic properties.

Contribution

It introduces new analytical formulas for masses, decay constants, and VEVs at NNLO, specifically addressing finite volume and partial quenching effects in the mesonic sector.

Findings

Analytical expressions for two-loop finite volume effects.

Numerical examples demonstrating the impact of these effects.

Publicly available numerical programs for practical use.

Abstract

We discuss finite volume effects and partial quenching for Chiral Perturbation Theory in the mesonic sector. The effects are computed in terms of analytical expressions for masses, decay constants and vacuum expectation values (VEVs) to two-loop order. Numerical examples are presented for a number of interesting and relevant cases. All numerical programs are publically available, the prospects of a combination of these studies with lattice gauge theory computations are discussed briefly.