Abstract

We study the radiative decays B→ Vγ (where V=ρ,K ∗ ) in the framework of QCD factorisation, and in particular the hard-spectator contributions to the decay amplitudes. For the phenomenologically significant chromomagnetic operator, we show by an explicit next-to-leading-order computation that the spectator interactions factorise in the heavy-quark limit, i.e., that they can be written as the convolution of a hard-scattering kernel, computable in perturbation theory, and of the light-cone distribution amplitudes for the B and V mesons which contain the soft physics. The presence of an intermediate scale of O( M B Λ QCD) leads to the presence of Sudakov logarithms. We indicate how the demonstration of factorisation can be extended to other (four-quark) operators.

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