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

Abstract

We propose a theoretical framework to understand the observable charge-parity (CP) violation in charmless three-body $B^{\pm }$ decays. The decay amplitudes put together the $\pi \pi \to KK$ re-scattering and the U-spin symmetry, treated within a CPT invariant framework. This approach applied to a two-channel model provides the magnitudes and signs of the ratios of the global CP asymmetries for $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$, $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$, $B^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ and $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ decays, compatible 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.

arXiv commentRevised version with important clarification and new references

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Cited by in corpus (3)

• Direct $CP$ violation in charmless three-body decays of $B^{\pm }$ mesons
• Enhanced charm CP asymmetries from final state interactions
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays