Abstract
The form factors of the semileptonic ${B}_{c}\ensuremath{\rightarrow}S(AV)\ensuremath{\ell}\ensuremath{\nu}$ ($\ensuremath{\ell}=\ensuremath{\tau}$, $\ensuremath{\mu}$, $e$) transitions, where $S$ and $AV$ denote the scalar ${X}_{c0}$ and axial-vector $({X}_{c1},{h}_{c})$ mesons, are calculated within the framework of the three-point QCD sum rules. The heavy quark effective theory limit of the form factors is also obtained and compared with the values of the original transition form factors. The results of form factors are used to estimate the total decay widths and branching ratios of these transitions. A comparison of our results on branching ratios with the predictions of other approaches is also presented.
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