Contributions of the subprocesses ρ (770, 1450, 1700) → K K and ω (782, 1420, 1650) → K K for the three-body decays B → η (') K K *

Abstract As an extension of our prior work, we analyze the resonance contributions for the kaon pair originating from the intermediate , , and their excited states in the three-body decays within the perturbative quantum chromodynamics approach. The information of subprocesses and are included in the distribution amplitudes for the system using the kaon vector time-like form factors. We calculate the charge-conjugation parity (CP)-averaged branching fractions and direct CP asymmetries for the relevant quasi-two-body B meson decays. The branching fractions of the virtual contributions for from the Breit-Wigner formula tails of and for these decays are found comparable to the corresponding contributions from the resonances and . Consequently, they comprise a significant component that should be accounted for in the considered three-body decays. All predictions in this work are expected to be tested by the LHCb and Belle-II experiments in future.