Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays

Abstract

Motivated by the recent LHCb collaboration measurements of charmless three-body decays of ${\bar{B}}_s^0$ meson, we calculate the branching fractions of ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$, ${\bar{B}}_s^0\to K^0{K}^{+}{K}^{-}$, ${\bar{B}}_s^0\to K^0{\pi }^{+}{K}^{-}$ and ${\bar{B}}_s^0\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ decay modes using the factorization approach. Both the resonant and nonresonant contributions are studied in detail. For the decays ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$ and ${\bar{B}}_s^0\to K^0{K}^{+}{K}^{-}$, our results agree well with experimental data, and the former is dominated by the $K^{\ast }$, while the latter one is dominated by the nonresonant contribution. Considering the flavor SU(3) symmetry violation, the sum of branching fractions of ${\bar{B}}_s^0\to K^0{\pi }^{+}{K}^{-}$ and ${\bar{B}}_s^0\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ could accommodate the data well too. It should be noted that both branching fractions are sensitive to the scalar density $<K\pi |\bar{s}q|0>$. Furthermore, the resonant contributions are dominated by the scalar $K_0^{\ast }(1430)$. We hope that these branching fractions could be measured individually in the experiments so as to test the factorization approach and the flavor SU(3) asymmetry. Moreover, the direct CP asymmetries of these decays are also investigated, which could be measured in the running LHCb experiment and Super-b factory in the future.

16 pages. arXiv admin note: substantial text overlap with arXiv:1308.5139, arXiv:0704.1049 by other authors

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Cited by in corpus (8)

• Comprehensive Study of ${\overline{B}}^0\to K^0({\overline{K}}^0)K^{\mp }{\pi }^{\pm }$ Decays in the Factorization Approach
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• S-wave contributions in ${\bar{B}}_s^0\to (D^0,{\bar{D}}^0){\pi }^{+}{\pi }^{-}$ within perturbative QCD approach
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• Updated branching fraction measurements of $B_{(s)}^0\to K_{\mathrm{S}}^0{h}^{+}{h}^{\prime -}$ decays
• Analysis of CKM-Favored Quasi-Two-Body $B\to D(R\to )K\pi$ Decays in PQCD Approach
• Charmless Quasi-two-body $B$ Decays in Perturbative QCD Approach: Taking $B\to K(\mathcal{R}\to )K^{+}{K}^{-}$ As Examples