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In the framework of QCD factorization, based on the first order of isospinviolation, we study direct CP violation in the decay of $\bar{B}_{s}^{0} \toK^{0}\rho^{0}(\omega)\to K^{0}\pi^{+}\pi^{-}$ including the effect of$\rho-\omega$ mixing. We find that the CP violating asymmetry is large via$\rho-\omega$ mixing mechanism when the invariant mass of the $\pi^{+}\pi^{-}$pair is in the vicinity of the $\omega$ resonance. For the decay of$\bar{B}_{s}^{0} \to K^{0}\rho^{0}(\omega)\to K^{0}\pi^{+}\pi^{-}$, the maximumCP violating asymmetries can reach about 46%. We also discuss the possibilityto observe the predicted CP violating asymmetries at the LHC.

Direct CP violation for $\bar{B}_{s}^{0}\to K^{0}\pi^{+}\pi^{-}$ decay in QCD factorization