In this work, within the QCD factorization approach, we study the localized integrated CP violation in the B−→π−π+π− decay and the branching fraction of the B−→σπ− decay. Both the resonance and nonresonance contributions are included when we study the localized CP asymmetry in the B−→π−π+π− decay. The resonance contributions from the scalar σ(600) and vector ρ0(770) mesons are included. For the σ(600) meson, we apply both the Breit-Wigner and Bugg models to deal with its propagator, and obtain B(B−→σ(600)π−)<1.67×...