Semileptonic decays of $B^{(\ast )}$, $D^{(\ast )}$ into $\nu l$ and pseudoscalar or vector mesons

Abstract

We perform a study of the $B^{(\ast )}$, $D^{(\ast )}$ semileptonic decays, using a different method than in conventional approaches, where the matrix elements of the weak operators are evaluated and a detailed spin-angular momentum algebra is performed to obtain very simple expressions at the end for the different decay modes. Using only one experimental decay rate in the $B$ or $D$ sectors, the rates for the rest of decay modes are predicted and they are in good agreement with experiment. Some discrepancies are observed in the $\tau$ decay mode for which we find an explanation. We perform evaluations for $B^{\ast }$ and $D^{\ast }$ decay rates that can be used in future measurements, now possible in the LHCb collaboration.

Comments: 27 pages, 4 figures, 8 tables