  Theoretical predictions for B decay rates are rewritten in terms of the
Upsilon meson mass instead of the b quark mass, using a modified perturbation
expansion. The theoretical consistency is shown both at low and high orders.
This method improves the behavior of the perturbation series for inclusive and
exclusive decay rates, and the largest theoretical error in the predictions
coming from the uncertainty in the quark mass is eliminated. Applications to
the determination of CKM matrix elements, moments of inclusive decay
distributions, and the B -> X_s \gamma photon spectrum are discussed.
