Renormalization of the Lattice HQET Isgur-Wise Function

Abstract

We compute the perturbative renormalization factors required to match to the continuum Isgur-Wise function, calculated using lattice Heavy Quark Effective Theory. The velocity, mass, wavefunction and current renormalizations are calculated for both the forward difference and backward difference actions for a variety of velocities. Subtleties are clarified regarding tadpole improvement, regulating divergences, and variations of techniques used in these renormalizations.

28 pages, 0 figures, LaTeX. Final version accepted for publication in Phys. Rev. D. (Minor changes.)