Branching fraction and form-factor shape measurements of exclusive charmless semileptonicBdecays, and determination of|Vub

We report the results of a study of the exclusive charmless semileptonic decays, B0→π-l+ν, B+→π0l+ν, B+→ωl+ν, B+→ηl+ν, and B+→η′l+ν (l=e or μ) undertaken with approximately 462×106 BB pairs collected at the Υ(4S) resonance with the BABAR detector. The analysis uses events in which the signal B decays are reconstructed with a loose neutrino reconstruction technique. We obtain partial branching fractions in several bins of q2, the square of the momentum transferred to the lepton-neutrino pair, for B0→π-l+ν, B+→π0l+ν, B+→ωl+ν, and B+→ηl+ν. From these distributions, we extract the form-factor shapes f+(q2) and the total branching fractions B(B0→π-l+ν)=(1.45±0.04stat±0.06syst)×10-4 (combined π- and π0 decay channels assuming isospin symmetry), B(B+→ωl+ν)=(1.19±0.16stat±0.09syst)×10-4 and B(B+→ηl+ν)=(0.38±0.05stat±0.05syst)×10-4. We also measure B(B+→η′l+ν)=(0.24±0.08stat±0.03syst)×10-4. We obtain values for the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element |Vub| by direct comparison with three different QCD calculations in restricted q2 ranges of B→πl+ν decays. From a simultaneous fit to the experimental data over the full q2 range and the FNAL/MILC lattice QCD predictions, we obtain |Vub|=(3.25±0.31)×10-3, where the error is the combined experimental and theoretical uncertainty.