Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-09-08
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice2002(heavyquark), 3 pages, 2 figures
Scientific paper
10.1016/S0920-5632(03)01634-7
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.
Harada Junpei
Matsufuru Hideo
Onogi Tetsuya
Sugita Ayumu
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