Estimated of CP violation in meson decays into and mesons

Elnaz Amirkhanlou; Behnam Mohammadi

doi:10.1140/epjc/s10052-023-11936-7

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 764
https://doi.org/10.1140/epjc/s10052-023-11936-7

Regular Article - Theoretical Physics

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

Elnaz Amirkhanlou and Behnam Mohammadi^b

Department of Physics, Urmia University, Urmia, Iran

^b be.mohammadi@urmia.ac.ir

Received: 27 June 2023
Accepted: 18 August 2023
Published online: 30 August 2023

Abstract

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

© The Author(s) 2023

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