Determining |V_{ub}| from the sum rule for semileptonic B decay

Abstract

A precise determination of |V_{ub}| can be obtained exploiting the sum rule for inclusive charmless semileptonic B-meson decays. The sum rule is derived on the basis of light-cone expansion and b-flavored quantum number conservation. The sum rule does not receive any perturbative QCD correction. In this determination of |V_{ub}|, there is no perturbative QCD uncertainty, while the dominant hadronic uncertainty is avoided. Moreover, this method is not only theoretically quite clean, but experimentally also very efficient in the discrimination between B\to X_u\ellνsignal and B\to X_c\ellνbackground. The sum rule requires measuring the lepton pair spectrum. We analyze the lepton pair spectrum, including the leading perturbative and nonperturbative QCD corrections.