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

Abstract

In a perturbative QCD approach we study the direct CP violation in the pure annihilation decay process of bar{B}^0_{s}rightarrow 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}^0_{s}rightarrow pi ^+pi ^-pi ^+pi ^-, the CP violation can reach A_{CP}(bar{B}^0_{s}rightarrow pi ^+pi ^-pi ^+pi ^-)=27.20^{+0.05+0.28+7.13}_{-0.15-0.31-6.11}%.