Measurement of the First and Second Moments of the Hadronic Mass Distribution in Semileptonic B Decays

Abstract

We report a preliminary measurement of the first and second moments of the hadronic mass distributions in B --> X_c lv decays. The measurements are based on Upsilon (4S) --> BBbar events where the hadronic decay of one of the B mesons is fully reconstructed and a charged lepton from the decay of the other B meson is identified. The moments are presented for threshold lepton momenta ranging from 0.9 to 1.6 GeV. From the $<M_X^2>$ moments we determine the non-perturbative Heavy Quark Expansion (HQE) parameters, $\barΛ$ and $λ_1$. We combine the measured moments $<M_X^2>$ with earlier BABAR measurements of the semileptonic branching ratios and B lifetimes and perform a simultaneous fit to the HQE for the moments obtained for different threshold lepton momenta and the semileptonic decay width. This fit results in an improved value for the CKM matrix element $|V_{cb}|$.