Measurement of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">B</mml:mi></mml:math>Semileptonic Branching Fraction with Lepton Tags

Abstract

We have used the CLEO II detector and $2.06{\mathrm{fb}}^{\ensuremath{-}1}$ of $\ensuremath{\Upsilon}(4S)$ data to measure the $B$-meson semileptonic branching fraction. The $B\ensuremath{\rightarrow}\mathrm{Xe}\ensuremath{\nu}$ momentum spectrum was obtained over nearly the full momentum range by using charge and kinematic correlations in events with a high-momentum lepton tag and an additional electron. We find $B(B\ensuremath{\rightarrow}\mathrm{Xe}\ensuremath{\nu})\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}(10.49\ifmmode\pm\else\textpm\fi{}0.17\ifmmode\pm\else\textpm\fi{}0.43)%$, with overall systematic uncertainties less than those of untagged single-lepton measurements. We use this result to calculate the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element ${V}_{\mathrm{cb}}$ and to set an upper limit on the fraction of $\ensuremath{\Upsilon}(4S)$ decays to final states other than $B\overline{B}$.