Contributions of K 0 ∗ $$ {K}_0^{\ast } $$ (1430) and K 0 ∗ $$ {K}_0^{\ast } $$ (1950) in the three-body decays B → Kπh

Abstract

Abstract We study the contributions of the resonant states K 0 ∗ $$ {K}_0^{\ast } $$ (1430) and K 0 ∗ $$ {K}_0^{\ast } $$ (1950) in the three-body decays B → Kπh (with h = π, K) in the perturbative QCD approach. The crucial nonperturbative input F Kπ (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 ∗ $$ {K}_0^{\ast } $$ (1950) h → Kπh is about one order smaller than that of the corresponding decay B → K 0 ∗ $$ {K}_0^{\ast } $$ (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 ∗ $$ {K}_0^{\ast } $$ (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.

Keywords

• B physics
• Branching fraction
• CP violation
• Flavor physics
• Hadron-Hadron scattering (experiments)