Factorization, the light-cone distribution amplitude of the B-meson and the radiative decay B → γlνl

We study the radiative decay B --> gammalnu(epsilon) in the framework of QCD factorization. We demonstrate explicitly that. in the heavy-quark limit and at one-loop order in perturbation theory, the amplitude does factorize. i.e. that it can be written as a convolution of a perturbatively calculable hard-scattering amplitude with the (non-perturbative) light-cone distribution amplitude of the B-meson. We evaluate the hard-scattering amplitude at one-loop order and verify that the large logarithms are those expected from a study of the b --> u transition in the Soft-Collinear Effective Theory. Assuming that this is also the case at higher orders. We resum the large logrithms and perform an exploratory phenomenological analysis. The questions addressed in this study are also relevant for the applications of the QCD factorization formalism to two-body non-leptonic B-decays, in particular, to the component of the amplitude arising front hard spectator interactions. (C) 2002 Elsevier Science B.V. All rights reserved.