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

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

1994-08-16

arxiv.org/abs/hep-ph/9408306v2

Nucl.Phys.B432:3-38,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, TUM-T31-67/94/R (to be published in Nuclear Physics) (one reference added and used for an improved phenomenological

Scientific paper

10.1016/0550-3213(94)90591-6

We calculate the radiative corrections to the nonleptonic inclusive B decay mode $b\rightarrow c\bar u d$ 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 $b\rightarrow u\tau\bar\nu$ taking into account the $\tau$ lepton mass, and estimate the c quark mass effects on the nonleptonic decay mode $b\rightarrow c\bar c s$.

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