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 ϕ ϕ . 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 ¯ → ϕ ϕ = ( 1.56 ± 0.23 ) × 10 − 5 . We also calculate the direct CP violation, CP violation in mixing and CP violation due to interference which are A C P dir = 0.00355 ± 0.00152 , A C P mix = − 0.00629 ± 0.03119 and A C P Δ Γ = 0.99997 ± 0.00019 , respectively. Our results are in agreement with the recent theoretical predictions and experimental measurements.
Highlights
The Standard Model (SM) of Particle Physics describes the fundamental building blocks of matter and their interactions
In order to get a clear idea of CP violation, one needs to know the exact Branching Ratio (BR) of the decay modes which motivates us to make an analytic calculation of the BR( Bs0 → φφ)
This paper focuses on the calculation of the BR and CP violation of the Bs0 → φφ decay in the framework of Quantum Chromodynamics Factorization (QCDF) approach
Summary
The Standard Model (SM) of Particle Physics describes the fundamental building blocks of matter and their interactions. In order to get a clear idea of CP violation, one needs to know the exact BR of the decay modes which motivates us to make an analytic calculation of the BR( Bs0 → φφ). This paper focuses on the calculation of the BR and CP violation of the Bs0 → φφ decay in the framework of QCDF approach. We report the calculation of the BR and CP violation of BR( Bs0 → φφ) within QCDF using Mathematica packages. Since BR( Bs0 → φφ) is a vector decay, we need to find the helicity amplitude to calculate the BR. We calculated the CP violation in the SM for Bs0 → φφ decay via pure penguin diagram within mix QCDF. We find that the reported results are consistent with other available predictions and experimental observation [5,8,9,10,18,20,21,23,24,25]
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