Study Pure Annihilation Decays $B_s^0({\bar{B}}_s^0)\to D^{\pm }{\pi }^{\mp }$ in PQCD Approach

Abstract

The rare decays $B_s^0\to D^{\pm }{\pi }^{\mp }$ and ${\bar{B}}_s^0\to D^{\mp }{\pi }^{\pm }$ can occur only via annihilation type diagrams in the standard model. In this paper, we calculate branching ratios of these decays in perturbative QCD approach ignoring soft final state interaction. From our calculation, we find that their branching ratios are at $\mathcal{O}(10^{-6})$ with large CP asymmetry, which may be measured in LHC-b experiment in future.

14 pages,4 figures, typos corrected

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Branching ratio and CP violation of $B_s\to \pi K$ decays in the perturbative QCD approach
• Determining the CP Violation Angle $\gamma$ in $B_s$ Decays without Hadronic Uncertainty

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• Spectator Scattering and Annihilation Contributions as a Solution to the $\pi K$ and $\pi \pi$ Puzzles within QCD Factorization Approach
• Flavor dependence of annihilation parameters in QCD factorization
• Implications of the recent measurement of pure annihilation $B_s\to {\pi }^{+}{\pi }^{-}$ decays in QCD factorization
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays
• A study on the radiative dileptonic decays $B^0(B_s)\to \gamma {\ell }^{+}{\ell }^{-}$
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff