Global CP asymmetries in charmless three-body B decays with final state interactions

We propose a theoretical framework to understand the observable global charge-parity (CP) violation in charmless three-body B^± decays. The decay amplitudes consider the effects of the ππ → KK rescattering treated within a CPT invariant framework together with the U-spin symmetry relation, s ↔ d, which results π ↔ K in the final state. This approach applied to a two-channel model provides the magnitudes and signs of the ratios of the global CP asymmetries for B^± →K^±π⁺π^-, B^± →K^±K⁺K^-, B^± →π^±K⁺K^-, and B^± →π^±π⁺π^- decays, qualitatively consistent with those obtained from the available experimental data. In addition, by considering the neutral channels, we predict the ratios for the global CP asymmetries for these decays.