CP asymmetry from resonance effect of B meson decay process with $\pi$ and K final states

Abstract

We introduce the new resonance of $V\to K^{+}{K}^{-}$ $(V=\varphi ,\rho ,\omega )$, which produces some new strong phase associated with vector meson resonance and thus can cause relatively large CP asymmetry at the range of interferences. There are the resonances of $\varphi \to K^{+}{K}^{-}$, $\rho \to K^{+}{K}^{-}$ and $\omega \to K^{+}{K}^{-}$ due to the mixing of vector mesons $\varphi$, $\rho$, $\omega$. We calculate the CP asymmetry from the decay modes of $B\to KK\pi (K)$. Meanwhile, the localised CP asymmetries are presented and some detailed analysis can be found. The CP asymmetry from the decay mode of $B^{-}\to \varphi {\pi }^{-}\to K^{+}{K}^{-}{\pi }^{-}$ is also presented in our framework which is well consisted with LHC experiment. The introduced CP asymmetry can provide a favorable theoretical support for the experimental exploration in the future.