Hadronic mass and q^2 moments in B->Xu l nu

Abstract

We present OPE predictions for the hadronic mass and q^2 moments in inclusive semileptonic charmless B decays, with a lower cut on the charged lepton energy and an upper cut on the hadronic invariant mass. We include non-perturbative corrections through O(1/m_b^3) and perturbative contributions through O(alpha_s^2 beta_0). We also investigate the range of the cut on the hadronic mass for which the local OPE can be considered valid and give estimates of the residual theoretical uncertainty. The study of these moments is important to constrain the effect of the Weak Annihilation (WA) contributions and the shape of the distribution function, providing a more precise inclusive determination of V_ub.