Branching Ratio and CP Violation in $${B}_{{s}}^{{0}}\rightarrow{\rho}^{{0}}{\phi}$$ Decay in the Framework of QCD Factorization

Abstract

We present an analytic calculation of Branching Ratio (BR) and Charge–Parity (CP) violating asymmetries of the $$B_{s}^{0}$$ -meson decay into the two light vectors $$\rho^{0}\phi$$ . In doing this we calculate the helicity amplitude of the present decay in the framework of QCD factorization approach. We find the BR of $$B_{s}^{0}\rightarrow\rho^{0}\phi=(0.26\pm 0.04)\times 10^{-6}$$ which is in agreement with the recent theoretical predictions and experimental measurements. We also calculate the direct CP violation, CP violation in mixing and CP violation due to interference which are $$0.107\pm 0.013$$ , $$0.256\pm 0.036$$ , and $$0.960\pm 0.009$$ , respectively.