A Model Independent Determination of |V_{ub}|
Abstract
It is shown that measuring the lepton invariant mass spectrum in inclusive semileptonic B -> X_u l nu decay yields a model independent determination of |V_{ub}|. Unlike the lepton energy and hadronic invariant mass spectra, nonperturbative effects are only important in the resonance region, and play a parametrically suppressed role when d\Gamma/dq^2 is integrated over q^2 > (m_B-m_D)^2, which is required to eliminate the charm background. Perturbative and nonperturbative corrections are presented to order \alpha_s^2\beta_0 and \Lambda_{QCD}^2/m_b^2, and the \Lambda_{QCD}^3/m_b^3 corrections are used to estimate the uncertainty in our results. The utility of the B -> X_s l^+ l^- decay rate above the \psi(2S) resonance is discussed.
Keywords
Cite
@article{arxiv.hep-ph/0002161,
title = {A Model Independent Determination of |V_{ub}|},
author = {Christian W. Bauer and Zoltan Ligeti and Michael Luke},
journal= {arXiv preprint arXiv:hep-ph/0002161},
year = {2010}
}
Comments
11 pages; some references added, version to appear in PLB