Abstract
Anisotropic lattice fermion actions are investigated with one-loop perturbative calculations aiming at constructing a formulation for a heavy quark with controlled systematic uncertainties. For heavy-light systems at rest an anisotropic lattice with small temporal lattice spacing ${a}_{t}$ suppresses the discretization error by a power of ${a}_{t}{m}_{Q}$ for a heavy quark of mass ${m}_{Q}.$ We discuss the issue of large discretization errors, which scale as ${a}_{s}{m}_{Q}$ with ${a}_{s}$ the spatial lattice spacing. By performing one-loop calculations of the speed-of-light renormalization for several possible lattice actions in the limit of ${a}_{t}\ensuremath{\rightarrow}0,$ we show that one can eliminate the large systematic error on the anisotropic lattice.
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