Abstract
We investigate the four-body decays B(s) → (Kπ)S/P(Kπ)S/P in the Kπ-pair invariant mass region around the K*(892) resonance in the perturbative QCD (PQCD) approach, where (Kπ)S/P denotes a S- or P-wave Kπ configuration. The contributions from the P-wave resonance K*(892) and from possible S-wave components are included into the parametrization of the Kπ two-meson distribution amplitudes, which are the non-perturbative inputs in this formalism. We calculate the branching ratio for each resonance and observe sizable S-wave contributions to the Bs modes, well consistent with recently available LHCb data. We also deduce the polarization fractions for the \( {K}^{\ast }{\overline{K}}^{\ast } \) final states, and compare our predictions to those in previous PQCD analyses of the corresponding two-body B → \( {K}^{\ast }{\overline{K}}^{\ast } \) decays. The polarization puzzle associated with the two U-spin related channels B0 → \( {K}^{\ast 0}{\overline{K}}^{\ast 0} \) and \( {B}_s^0\to {K}^{\ast 0}{\overline{K}}^{\ast 0} \) still exists. In addition to direct CP asymmetries, triple-product asymmetries and S-wave induced direct CP asymmetries originating from the interference among various helicity amplitudes, are presented. It is shown that true triple-product asymmetries are rather small, while direct CP asymmetries and S-wave-induced direct CP asymmetries are significant in some decays. Our results will be subject to stringent tests with precise data from B factories in the near future.
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Rui, Z., Li, Y. & Li, Hn. Four-body decays B(s) → (Kπ)S/P(Kπ)S/P in the perturbative QCD approach. J. High Energ. Phys. 2021, 82 (2021). https://doi.org/10.1007/JHEP05(2021)082
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DOI: https://doi.org/10.1007/JHEP05(2021)082