Resonant contribution of the three-body decay process $ {{\bar B}_{s} \rightarrow K^{+}K^{-} P }$ in perturbative QCD

Abstract：

We investigate CPviolation in the decay process $ \bar B_{s} \rightarrow \phi(\rho,\omega) P \rightarrow K^{+}K^{-}P $ by considering the interference effects of $ \phi\rightarrow K^{+}K^{-} $ , $ \rho\rightarrow K^{+}K^{-} $ , and $ \omega\rightarrow K^{+}K^{-} $ within the framework of the perturbative QCD method ( Prefers to π, K, η, and $ \eta' $ pseudoscalar mesons). We analyze the mixings of $ \phi-\rho^{0} $ , $ \phi-\omega $ , and $ \omega-\rho^{0} $ and provide the amplitudes of the quasi-two-body decay processes. The CPviolation for the $ \bar B_{s} \rightarrow K^{+}K^{-} P $ decay process is obvious in the ranges of the three vector meson interferences. Meanwhile, the localized CPviolation can be found to compare with the experimental results from the three-body decay process at the LHC in the near future.