Study of B → X_uℓv decays in BB events tagged by a fully reconstructed B-meson decay and determination of │V_(ub)│

We report measurements of partial branching fractions for inclusive charmless semileptonic B decays B → X_uℓν and the determination of the Cabibbo–Kobayashi–Maskawa (CKM) matrix element |V_(ub)|. The analysis is based on a sample of 467×10^6 Υ(4S)→BB decays recorded with the BABAR detector at the PEP-II e^+e^- storage rings. We select events in which the decay of one of the B mesons is fully reconstructed and an electron or a muon signals the semileptonic decay of the other B meson. We measure partial branching fractions ΔB in several restricted regions of phase space and determine the CKM element |V_(ub)| based on different QCD predictions. For decays with a charged lepton momentum p_ℓ^*>1.0 GeV in the B meson rest frame, we obtain ΔB=(1.80±0.13_(stat)±0.15_(sys)±0.02_(theo))×10^(-3) from a fit to the two-dimensional M_X-q^2 distribution. Here, M_X refers to the invariant mass of the final state hadron X and q^2 is the invariant mass squared of the charged lepton and neutrino. From this measurement we extract |V_(ub)|=(4.33±0.24_(exp)±0.15_(theo))×10^(-3) as the arithmetic average of four results obtained from four different QCD predictions of the partial rate. We separately determine partial branching fractions for B^0 and B^- decays and derive a limit on the isospin breaking in B → X_uℓν decays