Heavy quark action on the anisotropic lattice

Abstract

We investigate the $O(a)$ improved quark action on anisotropic lattice as a potential framework for the heavy quark, which may enable precision computation of hadronic matrix elements of heavy-light mesons. The relativity relations of heavy-light mesons as well as of heavy quarkonium are examined on a quenched lattice with spatial lattice cutoff $a_{\sigma }^{-1}\simeq$ 1.6 GeV and the anisotropy $\xi =4$. We find that the bare anisotropy parameter tuned for the massless quark describes both the heavy-heavy and heavy-light mesons within 2% accuracy for the quark mass $a_{\sigma }{m}_Q<0.8$, which covers the charm quark mass. This bare anisotropy parameter also successfully describes the heavy-light mesons in the quark mass region $a_{\sigma }{m}_Q\le 1.2$ within the same accuracy. Beyond this region, the discretization effects seem to grow gradually. The anisotropic lattice is expected to extend by a factor $\xi$ the quark mass region in which the parameters in the action tuned for the massless limit are applicable for heavy-light systems with well controlled systematic errors.

11 pages, REVTeX4, 11 eps figures

References in corpus (5)

• Study of Charmonia near the deconfining transition on an anisotropic lattice with O(a) improved quark action
• Heavy quark physics from lattice QCD
• Numerical study of O(a) improved Wilson quark action on anisotropic lattice
• O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents
• Heavy Quark Effective Theory at one-loop order: An explicit example

Cited by in corpus (13)

• Quenched charmonium spectrum
• Heavy and Light Quarks with Lattice Chiral Fermions
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Contribution of disconnected diagrams to the hyperfine splitting of charmonium
• Two flavors of dynamical quarks on anisotropic lattices
• Anisotropic lattice actions for heavy quark
• A Numerical Study of Improved Quark Actions on Anisotropic Lattices
• Anisotropy tuning with the Wilson flow
• Search for H dibaryon on the lattice
• Symanzik Improvement with Dynamical Charm: A 3+1 Scheme for Wilson Quarks
• Heavy-light meson in anisotropic lattice QCD
• Anisotropic lattices for precision computations in heavy flavor physics
• Anisotropic lattice with nonperturbative accuracy