Phenomenological studies on B^(0)→[K^(-)π^(+)]s/v[π^(+)π^(-)]v/s→K^(-)π^(+)π^(+)π^(-)decay

Within the quasi-two-body decay model,we study the localized CP violation and branching fraction of the four-body decay B^(0)→[K^(-)π^(+)]s/v[π^(+)π^(-)]v/s→K^(-)π^(+)π^(+)π^(-)whenthe K^(-)π^(+)andπ^(-)π^(+)pair invariant masses are 0.35<mK^(-)π^(+)<2.04GeV and 0<mπ^(-)π^(+)<1.06 GeV,with the pairs being dominated by the K*0(700)0,K*(892)0,K*(1410)0,K*0(1430)and K*(1680)0,and fo(500),ρ0(770),ω(782)and f0(980)resonances,respectively.When dealing with the dynamical functions of these resonances,f0(500),ρ0(770),f0(980)and K*0(1430)are modeled with the Bugg model,Gounaris-Sakurai function,Flatte formalism and LASS lineshape,respectively,while the others are described by the relativistic Breit-W igner function.Adopting the end point divergence parametersρA∈[0,0.5]andφA∈[0,2π],our predicted results are ACρ(B0→K-π^(+)π^(+)π^(-))∈[-0.365.0.447]and B(B0→K-π^(+)π^(+)π^(-))∈[6.11,185.32]×10^(-8),based on the hypothetical qq structures for the scalar mesons in the QCD factorization ap-proach.Meanwhile,we calculate the CP violating asymmetries and branching fractions of the two-body decaysB0→SV(VS)and all the individual four-body decays B0→SV(VS)→K^(-)π^(+)π^(-)π^(+),respectively.Our theoretical results for the two-body decays B0→K<(892)0 f0(980),B0→K*0(1430)0ω(782),B0→K*(892)0f0(980),B0→K*0(1430)0ρ,and B0→K*0(1430)0ωare consistent with the available experimental data,with the remaining predic-tions await testing in future high precision experiments.