Tau lepton distributions in semileptonic B decays

Abstract

Analytic formulae are given for order alpha_s perturbative QCD corrections to the double differential distribution of the tau lepton energy and the invariant mass of the tau + antineutrino system in semileptonic decays of the bottom quark. The corresponding distribution for B meson decays are obtained by combining these results and the nonperturbative QCD corrections calculated by Falk et al. The moments of the energy distribution of the tau lepton are calculated.

20 pages, LaTeX (uses epsf.sty, fleqn macro), submitted to Nuclear Physics B. A Fortran version of the formulae given in this paper is available upon request from [email protected] or [email protected]

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