Novel methods for heavy-quark physics from lattice QCD

Abstract

The application of 3+1 anisotropic lattices to numerical simulations of hadrons containing heavy quarks is investigated. It is expected that using a fine temporal lattice spacing will suppress large mass-dependent errors which afflict discretisations of the Dirac action in the heavy-quark sector. An asymmetric discretisation of the Dirac action, specially formulated for anisotropic lattice, is used in this work. Firstly, we consider the non-perturbative tuning of the quark anisotropy parameter in the quenched approximation. The anisotropy is easily tuned to a target value of 6.0 at the strange quark mass and shows negligible mass dependence up to the charm quark mass.