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It is very important to know the strength of annihilation contribution in Bcharmless nonleptonic decays. $\bar{B}_{s}\to \pi^{+}\pi^{-}$ process couldserve a good probe of the strength. We have studied the process in QCDfactorization framework. Using a gluon mass scale indicted by the studies ofinfrared behavior of gluon propagators to avoid enhancements in the soft endpoint regions, we find that the CP averaged branching ratio is about$1.24\times 10^{-7}$, the direct CP asymmetry $C_{\pi\pi}$ is about -0.05,while the mixing-induced CP asymmetry quite large with the value$S_{\pi\pi}$=0.18. The process could be measured at LHC-b experiments in thenear future and would deepen our understanding of dynamics of B charmlessdecays.Comment: 9 pages, 3 eps figures. To appear in EPJ

Revisiting the annihilation decay $\bar{B}_{s}\to\pi^{ + }\pi^{-}$