Note on the Extraction of |V_{ub}| using Radiative B Decays

Abstract

The element |V_{ub}| of the quark mixing matrix can be extracted with small theoretical uncertainties by combining weighted integrals over the endpoint regions of the lepton spectrum in B -> X_u l nu decays and the photon spectrum in B -> X_s gamma decays. The perturbative corrections to this determination are computed at next-to-leading order including operator mixing, which has an important impact. The effect of Sudakov resummation is shown to be numerically insignificant.

Comments: 6 pages, 2 figures; revised version containing a response to hep-ph/0105066, main conclusions unchanged