$B_s$ Semileptonic Decays to $D_s$ and $D_s^*$ in Bethe-Salpeter Method

Using the relativistic Bethe-Salpeter method, the electron energy spectrum and the semileptonic decay widths of $B^0_s\to D^-_s \ell^+{ν_\ell}$ and $B^0_s\to D_s^{*-}\ell^+{ν_\ell}$ are calculated. We obtained large branching ratios, $Br(B_s\to D_seν_e)=(2.85\pm0.35)$ and $Br (B_s\to D_s^*eν_e)=(7.09\pm0.88)$, which can be easily detected in the future experiment.

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