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Measurements of Partial Branching Fractions for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mo>→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mi>l</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>and Determination of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">|</mml:mo…
We present partial branching fractions for inclusive charmless semileptonic $B$ decays $\overline{B}\ensuremath{\rightarrow}{X}_{u}\ensuremath{\ell}\overline{\ensuremath{\nu}}$, and the determination of the Cabibbo-Kobayashi-Maskawa matrix element $|{V}_{ub}|$. The analysis is based on a sample of $383\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\Upsilon}(4S)$ decays into $B\overline{B}$ pairs collected with the BABAR detector at the SLAC PEP-II ${e}^{+}{e}^{\ensuremath{-}}$ storage rings. We select events …