Contributions of K0* (1430) and K0* (1950) in the three-body decays B → Kπh

We study the contributions of the resonant states K-0*(1430) and K-0*(1950) in the three-body decays B -> K pi h (with h = pi, K) in the perturbative QCD approach. The crucial nonperturbative input F-K pi(s) in the distribution amplitudes of the S-wave K pi system is derived from the matrix element of vacuum to K pi pair. The C P averaged branching fraction of the quasi-two-body decay process B -> K-0* (1950) h -> K pi h is about one order smaller than that of the corresponding decay B -> K-0* (1430)h -> K pi h. In view of the important contribution from the S-wave K pi system for the B -> K pi h decays, it is not appropriate to neglect the K-0* (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.