Lawrence Berkeley National Laboratory

In a perturbative QCD approach we study the direct CP violation in the pure annihilation decay process of B¯s0→π+π-π+π-$$\bar{B}^0_{s}\rightarrow \pi ^+\pi ^-\pi ^+\pi ^-$$ induced by the ρ$$\rho $$ and ω$$\omega $$ 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 ρ$$\rho $$–ω$$\omega $$ interference when the invariant masses of the π+π-$$\pi ^+\pi ^-$$ pairs are in the vicinity of the ω$$\omega $$ resonance. For the decay process of B¯s0→π+π-π+π-$$\bar{B}^0_{s}\rightarrow \pi ^+\pi ^-\pi ^+\pi ^-$$, the CP violation can reach ACP(B¯s0→π+π-π+π-)=27.20-0.15-0.31-6.11+0.05+0.28+7.13%$$A_{CP}(\bar{B}^0_{s}\rightarrow \pi ^+\pi ^-\pi ^+\pi ^-)=27.20^{+0.05+0.28+7.13}_{-0.15-0.31-6.11}\%$$.