Heavy-light mesons in the epsilon-regime

TL;DR

This paper investigates how the properties of heavy-light mesons depend on finite volume effects in the epsilon-regime, providing theoretical predictions that can aid lattice QCD simulations.

Contribution

It computes two-point functions in the epsilon-regime of HMChPT, revealing finite volume effects and their relation to low-energy couplings, which is novel for heavy-light mesons.

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 simulations.

Abstract

We study the finite-size scaling of heavy-light mesons in the static limit. We compute two-point functions of chiral current densities as well as pseudoscalar densities in the epsilon-regime of heavy meson Chiral Perturbation Theory (HMChPT). 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-meson properties from lattice simulations.