Heavy Meson Masses in the \epsilon-Regime of HM\chi PT

TL;DR

This paper calculates heavy meson masses within the psilon-regime of Heavy Meson Chiral Perturbation Theory to facilitate the extraction of low-energy constants from lattice QCD, aiding in meson scattering studies.

Contribution

It provides a detailed psilon-regime calculation of heavy meson masses up to order psilon^4, linking lattice QCD results to physical scattering parameters.

Findings

Derived volume dependence of heavy meson masses at NLO

Facilitates determination of low-energy constants from lattice data

Enables evaluation of meson scattering phase shifts

Abstract

The pseudoscalar and vector heavy meson masses are calculated in the \epsilon-regime of Heavy Meson Chiral Perturbation Theory to order \epsilon^4. The results of this calculation will allow the determination of low-energy coefficients (LECs) directly from Lattice QCD calculations of the heavy mesons masses for lattices that satisfy the \epsilon-regime criteria. In particular, the LECs that parametrize the NLO volume dependance of the heavy meson masses are necessary for evaluating the light pseudoscalar meson (\pi, K, \eta) and heavy meson ({D^0, D^+, D^+_s}, {B^-,\bar{B}^0,\bar{B}^0_s}) scattering phase shifts.