Abstract
The contributions for the kaon pair from the intermediate states and in the decays , , and are analyzed within the perturbative QCD factorization approach. The decay amplitudes for all concerned decays in this work are dominated by the factorizable Feynman diagrams with the emission of the kaon pair, and the charged ρ mesons should be of great importance in the channel of the related three-body B decays. Moreover, these quasi-two-body decays are CKM-favored, and the relevant branching ratios are predicted to be in the order of , which have the potential to be measured by experiments. It is also shown that the contributions of the subprocesses for the three-body B meson decays are considerable according to the total three-body branching fractions presented by Belle. Therefore, the decays , , and can be employed to study the properties of and in the LHCb and Belle-II experiments.
Highlights
Three-body hadronic B meson decays provide us rich opportunities to explore CP violations in the relevant decay channels and to study intermediate resonance structures for the final states
We studied the virtual contributions for the kaon pair from the tail of ρ(770) in the three-body decays B → DKK [78]
Faced with the huge disparities between the coefficients for the excited states of ρ(770), ω(782), and φ(1020) in the kaon vector timelike form factor fitted in different studies [63, 79, 80], a detailed discussion was provided in Ref. [81], and the contributions for the kaon pair from ρ(770, 1450, 1700) and ω(782, 1420, 1650) in the B → KKh decays have been studied systematically
Summary
Three-body hadronic B meson decays provide us rich opportunities to explore CP violations in the relevant decay channels and to study intermediate resonance structures for the final states. Resonance contributions for the kaon pair in three-body B decays have been extensively studied experimentally [1–11] and theoretically [12–28] in recent years. The resonance contributions from various intermediate states for the threebody decays B → Dh1h2 (h1,2 represents pion or kaon) have been studied within the PQCD approach [24, 25, 69–77]. Faced with the huge disparities between the coefficients for the excited states of ρ(770), ω(782), and φ(1020) in the kaon vector timelike form factor fitted in different studies [63, 79, 80], a detailed discussion was provided in Ref.
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