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

TL;DR

This paper analyzes the resonance contributions to the decay $B^- o K^+K^- ext{pi}^-$ using light-cone sum rules, identifying dominant resonances and calculating their branching fractions, some aligning with experimental data.

Contribution

It introduces a detailed calculation of resonance contributions in $B^- o K^+K^- ext{pi}^-$ decay using the light-cone sum rule approach, including non-resonant effects.

Findings

Resonance contributions identified for scalar, vector, tensor states.

Calculated branching fractions partly agree with experimental data.

Total branching fraction including non-resonant effects evaluated.

Abstract

In this work, we study the resonance contributions to the decay $B^-\to K^+K^-\pi^-$, which is dominated by the scalar $f_0(980), K_0^*(1430)$, vector $\rho(1450), \phi(1020), K^*(892)$ 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.