$CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD

Abstract

In Perturbative QCD (PQCD) approach we study the direct $CP$ violation in the pure annihilation decay process of ${\bar{B}}_s^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ induced by the $\rho$ and $\omega$ double resonance effect. Generally, the $CP$ violation is small in the pure annihilation type decay process. However, we find that the $CP$ violation can be enhanced by double $\rho -\omega$ interference when the invariant masses of the ${\pi }^{+}{\pi }^{-}$ pairs are in the vicinity of the $\omega$ resonance. For the decay process of ${\bar{B}}_s^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$, the maximum $CP$ violation can reach 28.64{\%}.

References in corpus (5)

• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ 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
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• $CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD

Cited by in corpus (4)

• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Direct $CP$ violation of three bodies decay process from the resonance effect
• Effect of resonance for $CP$ asymmetry of the decay process ${\bar{B}}_s\to P{\pi }^{+}{\pi }^{-}$ in perturbative QCD
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach