Strong Corrections to Inclusive B to X tau nu Decays

Abstract

We calculate the $α_s$ corrections to the form factors which parameterize the hadronic tensor relevant for inclusive semileptonic $B \rightarrow X τ\barν_τ$ and $Λ_b \rightarrow X τ\barν_τ$ decays. We apply our results to the double differential decay rates for the decays of $B$ mesons and polarized $Λ_b$ baryons to polarized $τ$ leptons, presenting them in terms of one-dimensional integrals. Formulas appropriate for insertion into a Monte-Carlo simulation are presented.