Direct $CP$ violation of three bodies decay process from the resonance effect

Abstract

The physical state of $\rho$-$\omega$-$\varphi$ mesons can be mixed by the unitary matrix. The decay processes of $\omega \to {\pi }^{+}{\pi }^{-}$ and $\varphi \to {\pi }^{+}{\pi }^{-}$ are from the isospin symmetry breaking. The $\rho -\omega$, $\rho -\varphi$ and $\omega -\varphi$ interferences lead to resonance contribution to produce the strong phases. The $CP$ asymmetry is considered from above isospin symmetry breaking due to the new strong phase for the first order. It has been found the $CP$ asymmetry can be enhanced greatly for the decay process of $B^0\to {\pi }^{+}{\pi }^{-}{\eta }^{{(}^{\prime })}$ when the invariant masses of the ${\pi }^{+}{\pi }^{-}$ pairs are in the area around the $\omega$ resonance range and the $\varphi$ resonance range in perturbative QCD. We also discuss the possibility to search the predicted $CP$ violation at the LHC.

References in corpus (15)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Direct CP Violation in Charmless Three-body Decays of $B$ Mesons
• Measurement of CP Asymmetries and Branching Fractions in Charmless Two-Body B-Meson Decays to Pions and Kaons
• CP Violation in Multibody $B$ Decays from QCD Factorization
• Charmless B -> PPP Decays: the Fully-Symmetric Final State
• Finite-Width Effects in Three-Body B Decays
• Consequences of the BaBar e^+e^- --> pi^+pi^- Measurement for the Determination of Model-Dependent rho-omega Mixing Effects in Pi_{ρω}(m_ρ^2) and (g-2)_mu
• Width effects in resonant three-body decays: $B$ decay as an example
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Amplitude analysis of the $B_{(s)}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decays and measurement of the branching fraction of the $B\to K^{\ast 0}{\overline{K}}^{\ast 0}$ decay
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• $CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD