Resonance contributions in $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$ within the light-come sum rule approach

Abstract

In this work, we study the resonance contributions to the decay $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$, which is dominated by the scalar $f_0(980),K_0^{\ast }(1430)$, vector $\rho (1450),\varphi (1020),K^{\ast }(892)$ and tensor $f_2(1270)$ 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 contribution from each resonance are 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.

Comments: 29 pages, 1 figure