Heavy meson chiral perturbation theory in finite volume

TL;DR

This paper investigates finite volume effects in heavy-light meson systems using chiral perturbation theory, highlighting their significance in lattice QCD calculations and providing a one-loop analysis for B meson mixing.

Contribution

It introduces a method to estimate finite volume effects in heavy meson systems within chiral perturbation theory, emphasizing their impact on lattice QCD extrapolations.

Findings

Finite volume effects can significantly influence light-quark and heavy-quark mass extrapolations.

Finite volume effects are comparable to current error margins in B meson mixing calculations.

Finite volume effects are present in both quenched and partially quenched QCD simulations.

Abstract

We present the first step towards the estimation of finite volume effects in heavy-light meson systems using heavy meson chiral perturbation theory. We demonstrate that these effects can be amplified in both light-quark and heavy-quark mass extrapolations (interpolations) in lattice calculations. As an explicit example, we perform a one-loop calculation for the neutral B meson mixing system and show that finite volume effects, which can be comparable with currently quoted errors, are not negligible in both quenched and partially quenched QCD.