Heavy-light meson in anisotropic lattice QCD

TL;DR

This study investigates the use of $O(a)$ improved quark action on anisotropic lattices for precise heavy-light meson calculations, verifying nonperturbative parameter tuning and analyzing meson dispersion relations and decay constants.

Contribution

It demonstrates the feasibility of nonperturbative tuning of anisotropic lattice parameters for heavy-light meson studies and verifies the relativistic dispersion relation within 2% accuracy for certain quark masses.

Findings

Relativity relation holds within 2% accuracy for $a_\sigma m_Q \,\leq\, 1.2$

Nonperturbative tuning is possible for the leading terms of the action

Heavy-light decay constants are computed in the charm quark mass region.

Abstract

We examine whether the $O(a)$ improved quark action on anisotropic lattices can be used as a framework for the heavy quark, which enables precision computation of matrix elements of heavy-light mesons. To this end, it is crucial to verify that a mass independent and nonperturbative tuning of the parameters is possible. As a first step, we observe the dispersion relation of heavy-light mesons on a quenched lattice using the action which is nonperturbatively tuned only for the leading terms. On a lattice with the spatial cutoff $a_\sigma^{-1} \simeq$ 1.6 GeV and the anisotropy $\xi=4$, the relativity relation holds within 2% accuracy in the quark mass region $a_\sigma m_Q \leq 1.2$ with the bare anisotropy parameter tuned for the massless quark. We also apply the action to a calculation of heavy-light decay constants in the charm quark mass region.