In this work, we study the localized CP violation in B−→K−π+π− and B−→K−σ(600) decays by employing the quasi-two-body QCD factorization approach. Both the resonance and the nonresonance contributions are studied for the B−→K−π+π− decay. The resonance contributions include those not only from [ππ] channels including σ(600), ρ0(770) and ω(782) but also from [Kπ] channels including K0*(700)(κ), K*(892), K0*(1430), K*(1410), K*(1680) and K2*(1430). By fitting the four experimental data ACP(K−π+π−)=0.678±0.078±0.0323±0....
