Finite-size scaling of heavy-light mesons

TL;DR

This paper investigates how finite volume effects influence heavy-light meson properties in lattice simulations, using effective field theory to predict volume dependence in the epsilon-regime.

Contribution

It provides a detailed computation of finite-size scaling for heavy-light mesons within HMChPT, focusing on the epsilon-regime and its impact on lattice QCD analyses.

Findings

Finite volume effects are significant in the epsilon-regime.

Effective theory predicts volume dependence using low-energy couplings.

Results are relevant for extracting meson properties from lattice data.

Abstract

We study the finite-size scaling of heavy-light mesons in the static limit. The most relevant effects are due to the pseudo-Goldstone boson cloud. In the HMChPT framework we compute two-point functions of left current densitities as well as pseudoscalar densitites for the cases in which some or all of them lay in the epsilon-regime. As expected, finite volume dependence turns out to be significant in this regime and can be predicted in the effective theory in terms of the infinite-volume low-energy couplings. These results might be relevant for extraction of heavy-light meson properties from lattice simulations.