Resonance contributions in $$B^-\rightarrow K^+K^-\pi ^-$$ within the light-cone sum rule approach

Abstract

AbstractIn this work, we study the resonance contributions to the decay $$B^-\rightarrow K^+K^-\pi ^-$$ B - → K + K - π - , which is dominated by the scalar $$f_0(980), K_0^*(1430)$$ f 0 ( 980 ) , K 0 ∗ ( 1430 ) , vector $$\rho (1450), \phi (1020), K^*(892)$$ ρ ( 1450 ) , ϕ ( 1020 ) , K ∗ ( 892 ) and tensor $$f_2(1270)$$ f 2 ( 1270 ) resonances. The three-body decay is reduced to various quasi two-body decays, where the B meson firstly decays into a resonance and a pion or a kaon, subsequently the resonance decays into the other two final-state mesons. The quasi two-body decays are calculated within the light-cone sum rule approach utilizing the leading twist B meson light-cone distribution amplitudes. Finally, the decay branching fraction contributions from each resonance is calculated. Some of them are compatible with experiment or previous theoretical works. Including the effects of non-resonant and final-state interactions, we also evaluate the total branching fraction.