Renormalization of the lattice heavy quark effective theory Isgur-Wise function

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, wave function, 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.