Renormalization group scaling in nonrelativistic QCD - art. no. 074025

We discuss the matching conditions and renormalization group evolution of n on-relativistic QCD. A variant of the conventional <(MS)over bar> scheme is proposed in which a subtraction velocity nu is used rather than a subtract ion scale mu. We derive a novel renormalization group equation in velocity space which can be used to sum logarithms of v in the effective theory. We apply our method to several examples. In particular we show that our formul ation correctly reproduces the two-loop anomalous dimension of the heavy qu ark production current near threshold.