Comprehensive Study of ${\overline{B}}^0\to K^0({\overline{K}}^0)K^{\mp }{\pi }^{\pm }$ Decays in the Factorization Approach

Abstract

Using the factorization approach, we investigate the ${\overline{B}}^0\to {\overline{K}}^0{K}^{+}{\pi }^{-}$ and ${\overline{B}}^0\to K^0{K}^{-}{\pi }^{+}$ decays individually including the resonant and nonresonant contributions. Under the flavor SU(3) symmetry, we obtain the total branching fraction $BR[{\overline{B}}^0\to ({\overline{K}}^0{K}^{+}{\pi }^{-}+K^0{K}^{-}{\pi }^{+})]=(7.17_{-0.53-1.42-0.07}^{+0.50+1.97+0.08})\times 10^{-6}$, which is in agreement with the recent measurements of BaBar and LHCb within errors. For the decay ${\overline{B}}^0\to {\overline{K}}^0{K}^{+}{\pi }^{-}$, the nonresonant background and $a_0^{+}(1450)$ pole in the current-induced process provide large contribution, the latter of which has not been included in previous studies. On the contrary,the decay ${\overline{B}}^0\to K^0{K}^{-}{\pi }^{+}$ is dominated by the nonresonant background and the offshell ${\rho }^{-}$ pole. When the flavor SU(3) symmetry breaking and the final-state rescattering are considered under two different scenarios, the results can also accommodate the experimental data with large uncertainties. Moreover, the direct $CP$ asymmetry of ${\overline{B}}^0\to {\overline{K}}^0{K}^{+}{\pi }^{-}$ is found to be sensitive to the matrix element of scalar density. These predictions could be further tested in the LHCb experiment or Super-b factory in future.

11 pages, 2 figures

References in corpus (10)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Scalar K pi form factor and light quark masses
• Charmless Three-body Decays of B Mesons
• Generalized Heavy-to-Light Form Factors in Light-Cone Sum Rules
• Direct CP asymmetries of three-body $B$ decays in perturbative QCD
• U-spin analysis of CP violation in $B^{-}$ decays into three charged light pseudoscalar mesons
• Improved method for CKM constraints in charmless three-body B and B_s decays
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• Charmless B -> PPP Decays: the Fully-Symmetric Final State
• Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays

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