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Heavy-light meson in anisotropic lattice QCD

H. Matsufuru·J. Harada·T. Onogi·A. Sugita
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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 $a_σ^{-1} \simeq$ 1.6 GeV and the anisotropy $ξ=4$, the relativity relation holds within 2% accuracy in the quark mass region $a_σm_Q \leq 1.2$ 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.

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H. Matsufuru, J. Harada, T. Onogi, A. Sugita. 2002-09-08. Heavy-light meson in anisotropic lattice QCD. https://doi.org/10.1016/s0920-5632(03)01634-7

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