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.