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

Abstract

AbstractThe decay $$B^0\rightarrow D^{*+}D^-$$ B 0 → D ∗ + D - is favorable mode for studying CP violation in the interference between mixing and decay for $$B^0$$ B 0 and $$\bar{B}^0$$ B ¯ 0 mesons. The latest analysis of the CP parameters has been performed by the LHCb Collaboration values of $$S_{D^*D}=-\,0.861\pm 0.077\pm 0.019$$ S D ∗ D = - 0.861 ± 0.077 ± 0.019 , $$C_{D^*D}=-\,0.059\pm 0.092\pm 0.020$$ C D ∗ D = - 0.059 ± 0.092 ± 0.020 , $$\triangle S_{D^*D}=0.019\pm 0.075\pm 0.012$$ ▵ S D ∗ D = 0.019 ± 0.075 ± 0.012 , $$\triangle C_{D^*D}=-\,0.031\pm 0.092\pm 0.016$$ ▵ C D ∗ D = - 0.031 ± 0.092 ± 0.016 , and $$\mathcal {A}_{D^*D}^{CP}=0.008\pm 0.014\pm 0.006\pm 0.003$$ A D ∗ D CP = 0.008 ± 0.014 ± 0.006 ± 0.003 . We have been estimated the parameters $$S_{D^*D}$$ S D ∗ D and $$C_{D^*D}$$ C D ∗ D of the $$B^0\rightarrow D^{*+}D^-$$ B 0 → D ∗ + D - decay as $$-\,0.709\pm 0.024$$ - 0.709 ± 0.024 and $$-\,0.051\pm 0.004$$ - 0.051 ± 0.004 . In the following, we have obtained the values of $$\triangle S_{D^*D}=0.054\pm 0.003$$ ▵ S D ∗ D = 0.054 ± 0.003 and $$\triangle C_{D^*D}=0.020\pm 0.001$$ ▵ C D ∗ D = 0.020 ± 0.001 and direct CP violation of $$0.008\pm 0.001$$ 0.008 ± 0.001 . Also, we have calculated the branching ratio of $$B^0\rightarrow D^{*+}D^-$$ B 0 → D ∗ + D - decay. The values obtained in this work are comparable with the corresponding experimental values.