Abstract
We study the contributions of the resonant states \( {K}_0^{\ast } \)(1430) and \( {K}_0^{\ast } \)(1950) in the three-body decays B → Kπh (with h = π, K) in the perturbative QCD approach. The crucial nonperturbative input FKπ(s) in the distribution amplitudes of the S-wave Kπ system is derived from the matrix element of vacuum to Kπ pair. The C P averaged branching fraction of the quasi-two-body decay process B → \( {K}_0^{\ast } \)(1950) h → Kπh is about one order smaller than that of the corresponding decay B → \( {K}_0^{\ast } \)(1430)h → Kπh. In view of the important contribution from the S-wave Kπ system for the B → Kπh decays, it is not appropriate to neglect the \( {K}_0^{\ast } \)(1950) in the theoretical or experimental studies for the relevant three-body B meson decays. The predictions in this work for the relevant decays are consistent with the existing experimental data.
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Wang, WF., Chai, J. & Ma, AJ. Contributions of \( {K}_0^{\ast } \)(1430) and \( {K}_0^{\ast } \)(1950) in the three-body decays B → Kπh. J. High Energ. Phys. 2020, 162 (2020). https://doi.org/10.1007/JHEP03(2020)162
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DOI: https://doi.org/10.1007/JHEP03(2020)162