Measurement of the $B^0 \to \pi^{-} \ell^{+} \nu$ and $B^{+} \to \pi^0 \ell^{+} \nu$ branching fractions and determination of $|V_{ub}|$ in $\upsilon_{4S} \to B \bar{B}$ events tagged by a fully reconstructed $B$ meson

The authors report preliminary measurements of the charmless exclusive semileptonic branching fractions of the B{sup 0} {yields} {pi}{sup -}{ell}{sup +}{nu} and B{sup +} {yields} {pi}{sup 0}{ell}{sup +}{nu} decays, based on 211 fb{sup -1} of data collected at the {Upsilon}(4S) resonance by the BABAR detector. In events in which the decay of one B meson to a hadronic final state is fully reconstructed, the semileptonic decay of the second B meson is identified by the detection of a charged lepton and a pion. They measure the partial branching fractions for B{sup 0} {yields} {pi}{sup -}{ell}{sup +}{nu} and B{sup +} {yields} {pi}{sup 0}{ell}{sup +}{nu} in three regions of the invariant mass squared of the lepton pair, and they obtain the total branching fractions {Beta}(B{sup 0} {yields} {pi}{sup -}{ell}{sup +}{nu}) = (1.14 {+-} 0.27{sub stat} {+-} 0.17{sub syst}) x 10{sup -4} and {Beta}(B{sup +} {yields} {pi}{sup 0}{ell}{sup +}{nu}) = (0.86 {+-} 0.22{sub stat} {+-} 0.11{sub syst}) x 10{sup -4}. Using isospin symmetry, they measure the combined total branching fraction {Beta}(B{sup 0} {yields} {pi}{sup -}{ell}{sup +}{nu}) = (1.28 {+-} 0.23{sub stat} {+-} 0.16{sub syst}) x 10{sup -4}. Theoretical predictions of the form-factor are used to determine the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element |V{submore » ub}| = (3.7 {+-} 0.3{sub stat} {+-} 0.2{sub syst{sub -0.5FF}{sup +0.8}}) x 10{sup -3}, where the last uncertainty is due to the form-factor normalization.« less