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

Abstract

It is very important to know the strength of annihilation contribution in B charmless nonleptonic decays. ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$ process could serve a good probe of the strength. We have studied the process in QCD factorization framework. Using a gluon mass scale indicted by the studies of infrared behavior of gluon propagators to avoid enhancements in the soft end point 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 the near future and would deepen our understanding of dynamics of B charmless decays.

9 pages, 3 eps figures. To appear in EPJC

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Cited by in corpus (17)

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• Revisiting the pure annihilation decays $B_s\to {\pi }^{+}{\pi }^{-}$ and $B^0\to K^{+}{K}^{-}$: the data and the pQCD predictions
• Observation of Bs->K+K- and Measurements of Branching Fractions of Charmless Two-body Decays of B0 and Bs Mesons in p-pbar Collisions at sqrt(s)=1.96 TeV
• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Branching fractions and direct CP asymmetries of charmless decay modes at the Tevatron
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• Charmless $B_s\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects II
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
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• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• QCD Approach to B->D πDecays and CP Violation
• Charmless $B_c\to VV$ decays in the QCD factorization approach