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

Abstract

In 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.

Charmless Quasi-Two-Body B Decays in Perturbative QCD Approach: Taking B ⟶ K R ⟶

“…In past decades, more and more analyses of three-body decays have been performed by the BaBar, Belle, CLEO, and LHCb, and the branching fractions and CP violations have been measured with high precision. Motivated by the accumulated experimental results, many theoretical studies of various threebody B hadronic decays have been performed in different frameworks, such as approaches based on the symmetry principles [4][5][6][7][8], the QCD factorization (QCDF) [9][10][11][12][13][14][15][16][17][18][19], the perturbative QCD (PQCD) approach [20][21][22][23][24][25][26][27][28], and other theoretical methods [29][30][31].…”