Determination of the Phase of Vub from Charmless Hadronic B Decay Rates

Abstract

We perform a model dependent fit to recent data on charmless hadronic B decays and determine $\gamma$, the phase of $V_{ub}^{\ast }$. We find $\gamma =114_{-21}^{+25}$ degrees, which disfavors the often quoted $\gamma \sim 60^{\circ }$ at the two standard deviation level. We also fit for the form factors $F_0^{B\pi }$ and $A_0^{B\rho }$, and the strange-quark mass. They are consistent with theoretical expectations, although $m_s$ is somewhat low. Such agreement and the good ${\chi }^2$ for the fit may be interpreted as a confirmation of the adequacy of our model assumptions.

13 pages incl. 2 figures