Semileptonic $B_q\to D_q^{\ast }l\nu$ $(q=s,d,u)$ Decays in QCD Sum Rules

Abstract

The form factors relevant to $B_q\to D_q^{\ast }(J^P=1^{-})ell\nu$ $(q=s,d,u)$ decays are calculated in the framework of the three point QCD sum rules approach. The heavy quark effective theory prediction of the form factors as well as $1/m_b$ corrections to those form factors are obtained. A comparison of the results for the ratio of form factors at zero recoil limit and other values of $q^2$ with the predictions of the subleading Isgur-Wise form factor application for $B\to D^{\ast }\ell \nu$ is presented. The total decay width and branching ratio for these decays are also evaluated using the $q^2$ dependencies of these form factors. The results are in good agreement with the constituent quark meson model and existing experimental data. The $q=s$ case can also be detected at LHC in the near future.

arXiv comment28 Pages, 6 Figures and 9 Tables

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• Prediction of various observables for $B_s^0\to D_s^{(\ast )-}{\ell }^{+}{\nu }_{\ell }$ within covariant confined quark model
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• $B_s$ mesons: semileptonic and nonleptonic decays