Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays

We calculate the radiative corrections to the nonleptonic inclusive B decay mode $brightarrow cbar u d$ taking into account the charm quark mass. Compared to the massless case, corrections resulting from a nonvanishing c quark mass increase the nonleptonic rate by (4--8)%, depending on the renormalization point. As a by--product of our calculation, we obtain an analytic expression for the radiative correction to the semileptonic decay $brightarrow utaubar u$ taking into account the $tau$ lepton mass, and estimate the c quark mass effects on the nonleptonic decay mode $brightarrow cbar c s$.