Perturbative corrections to semileptonic b decay distributions

We compute O (alpha(s)) and O (a(s)(n) beta(0)(n-1)) (BLM) corrections to the five structure functions relevant for b -> ql (v) over bar decays and apply the results to the moments of a few distributions of phenomenological importance. We present compact analytic one-loop formulae for the structure functions, with proper subtraction of the soft divergence. (c) 2005 Elsevier B.V. All rights reserved.