  After reviewing how the renormalization group equation can be used to sum
logarithmic corrections to the decay rate for the semi-leptonic process b->u
when using minimal subtraction, we consider renormalization scheme dependence
for this calculation when employing this renor- malization scheme. In this
calculation, an ambiguity resides in the running strong coupling and in the
running b quark mass. The ambiguity usually associated with the renormalization
mass scale mu is shown to cancel. It is demonstrated how in one renormalization
scheme, there are only leading-log contributions to this decay rate. Another
choice of renormalization scheme results in the decay rate being expressed in
terms of the two-loop contribution to the beta-function associated with the
strong coupling and the one-loop contribution to the anomalous mass dimension
as well as a set of renormalization scheme invariant parameters.
