Semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition in three--point QCD sum rules and HQET with gluon condensate corrections

Abstract

Taking into account the gluon condensate contributions, the form factors of the semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition with $l=\tau ,e$ are calculated in the framework of the three point QCD sum rules. The heavy quark effective theory limit of the form factors are also computed. The relevant total decay width as well as the branching ratio are evaluated and compared with the predictions of the other non-perturbative approaches.

arXiv comment27 Pages, 4 Figures and 4 Tables

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• The radiative decays $B_c^{\ast \pm }\to B_c^{\pm }\gamma$ with QCD sum rules
• Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons
• Investigation of the $D_{s1}$ structure via $B_c$ to $D_{s1}{l}^{+}{l}^{-}/\nu \bar{\nu }$ transitions in QCD