|V_{ub}| From Semileptonic Decay and b -> s gamma

Abstract

Current errors on |V_{ub}| are dominated by model dependence. For inclusive decays, the model dependence comes from the Fermi motion of the b quark. By combining the endpoint photon and lepton spectra from the inclusive decays B -> X_s gamma and B -> X_u l nu, it is possible to remove this model dependence. We show how to combine these rates including the resummation of the endpoint logs at next to leading order. The theoretical errors on |V_{ub}| on the order of 10% are possible. We also give a brief discussion on comparing different extractions.