Measurement of the $\bar{B}\to D\ell \bar{\nu }$ Partila Width and Form Factor Parameters

Abstract

We have studied the decay $\bar{B}\to D\ell \bar{\nu }$, where $\ell =eor\mu$. From a fit to the differential decay rate $d\Gamma /dw$ we measure the rate normalization ${\mathcal{F}}_D(1)|V_{cb}|$ and form factor slope ${\hat{\rho }}_D^2$, and, using measured values of ${\tau }_B$, find $\Gamma (\bar{B}\to D\ell \bar{\nu })=(12.0\pm 0.9\pm 2.1)n{s}^{-1}$. The resulting branching fractions are $\mathcal{B}({\bar{B}}^0\to D^{+}{\ell }^{-}\bar{\nu })=(1.87\pm 0.15\pm 0.32)$ and $\mathcal{B}(B^{-}\to D^0{\ell }^{-}\bar{\nu })=(1.94\pm 0.15\pm 0.34)$. The form factor parameters are in agreement with those measured in $\bar{B}\to D^{\ast }\ell \bar{\nu }$ decays, as predicted by heavy quark effective theory.

11 pages, postscript file also available through http://w4.lns.cornell.edu/public/CLNS

Cited by in corpus (13)

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• $V_{cb}$ from the semileptonic decay $B\to D\ell {\bar{\nu }}_{\ell }$ and the properties of the $D$ meson distribution amplitude
• Right-Handed Currents in B Decay Revisited
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Constraints on a Model with Pure Right-Handed Third Generation Couplings