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In this work, we study the resonance contributions to the decay $B^-\toK^+K^-\pi^-$, 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. Thethree-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 theresonance decays into the other two final-state mesons. The quasi two-bodydecays are calculated within the light-cone sum rule approach utilizing theleading twist $B$ meson light-cone distribution amplitudes. Finally, the decaybranching fraction contribution from each resonance are calculated. Some ofthem are compatible with experiment or previous theoretical works. Includingthe effects of non-resonant and final-state interactions, we also evaluate thetotal branching fraction.

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