Estimated of $CP$ violation in $B^0$ meson decays into $D^{*+}$ and $D^-$ mesons

The decay $B^0\rightarrow D^{*+}D^-$ is favorable mode for studying $CP$ violation in the interference between mixing and decay for $B^0$ and $\bar{B}^0$ mesons. The latest analysis of the $CP$ parameters has been performed by the LHCb collaboration values of $S_{D^*D}=-0.861\pm0.077\pm0.019$, $C_{D^*D}=-0.059\pm0.092\pm0.020$, $\triangle S_{D^*D}=0.019\pm0.075\pm0.012$, $\triangle C_{D^*D}=-0.031\pm0.092\pm0.016$, and $\mathcal{A}_{D^*D}^{CP}=0.008\pm0.014\pm0.006\pm0.003$. We have been estimated the parameters $S_{D^*D}$ and $C_{D^*D}$ of the $B^0\rightarrow D^{*+}D^-$ decay as $-0.709\pm0.024$ and $-0.051\pm0.004$. In the following, we have obtained the values of $\triangle S_{D^*D}=0.054\pm0.003$ and $\triangle C_{D^*D}=0.020\pm0.001$ and direct $CP$ violation of $0.008\pm0.001$. Also, we have calculated the branching ratio of $B^0\rightarrow D^{*+}D^-$ decay. The values obtained in this work are comparable with the corresponding experimental values.