Heavy-light meson in anisotropic lattice QCD

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 $a_{\sigma }{m}_Q\le 1.2$ 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.

Comments: Lattice2002(heavyquark), 3 pages, 2 figures