$B_s$ Semileptonic Decays to $D_s$ and $D_s^{\ast }$ in Bethe-Salpeter Method

Abstract

Using the relativistic Bethe-Salpeter method, the electron energy spectrum and the semileptonic decay widths of $B_s^0\to D_s^{-}{\ell }^{+}{\nu }_{\ell }$ and $B_s^0\to D_s^{\ast -}{\ell }^{+}{\nu }_{\ell }$ are calculated. We obtained large branching ratios, $Br(B_s\to D_{s}e{\nu }_e)=(2.85\pm 0.35)$ and $Br(B_s\to D_s^{\ast }e{\nu }_e)=(7.09\pm 0.88)$, which can be easily detected in the future experiment.

Comments: 3 pages, 3 figures.