Study of the rare decays $B^0 \rightarrow D_{s}^{(*)+} (\pi^{-}/\rho^{-})$ and $B^0 \rightarrow D_{s}^{(*)-} K^{(*)+}$ at the BaBar experiment

We report on our study of $B^0$ mesons decaying into the final states $D_{s}^{(*)+} (\pi^{-}/\rho^{-})$ and $D_{s}^{(*)-} K^{(*)+}$ using a sample of 384 million $\Upsilon(4S)\to B\bar{B}$ events. The events have been collected with the BaBar detector at the PEP-II asymmetric-energy $e^{+}e^{-}$ storage ring, located at the Stanford Linear Accelerator Center. We exclusively reconstruct the modes $B^0\rightarrow D_{s}^{(*)+}(\pi^{-}/\rho^{-}), B^0\rightarrow D_{s}^{(*)-}K^{(*)+},D_{s}^{*+} \rightarrow D_{s}^{+} \gamma,~ D_{s}^{+} \rightarrow \phi \pi^{+},\ \bar{K}^{*0} K^{+},$ and $\bar{K}^{0} K^{+}$,$\rho^-\rightarrow \pi^-\pi^0$,and $K^{*+} \rightarrow \bar{K}^{0} \pi^{+},\ K^{+}\pi^{0}$, and measure their branching fractions. These results help in determining the $CP$ asymmetry parameter $\sin(2\beta+\gamma)$ in the decays $B^0 \rightarrow D^{(*)+} (\pi^{-}/\rho^{-})$ and provide constraints on long-distance strong-interaction effects in rare $B$ decays.