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We study the heavy flavor conserved semi-leptonic decay $B_s\to B\ell\nu$ inthe covariant light front approach. The covariant light front quark model isused to calculate the transition form factors of $B_s\to B^{(*)}$ as well as$D_s\to D$, which are consistent with the leading power predictions from theheavy quark symmetry. The angular distribution analysis on the $B_s\toB^{(*)}l\bar\nu$ decay is performed by investigating the forward-backwardasymmetry of the lepton. We also study the angular distribution of $B_{s}\toB^{*}(\to B \gamma)l\bar\nu$ decay both through the lepton forward-backwardasymmetry and the azimuth angle. The branching fractions of $B_s\to Bl\bar\nu$and $B_s\to B^{*}l\bar\nu$ are at the order $10^{-8}$ and $10^{-9}$,respectively. The number of $B_s\to B l\bar\nu$ events is estimated to be$1.76$. The branching fraction of $B_{s}\to B^{*}(\to B \gamma)l\bar\nu$ is atthe order $10^{-11}$, which is calculated by introducing Breit-Wignerdistribution for the intermediate $B^*$.

Heavy flavor conserved semi-leptonic decay of $B_s$ in the covariant light-front approach