CP violation and CPT invariance in B+- decays with final state interactions

Abstract

We show that, besides the usual short distance contribution for CP violation, final state interactions together with CPT invariance can play an important role in the recent observation of CP violation in three-body charmless $B^{\pm }$ decays. A significant part of the observed CP asymmetry distribution in the Dalitz plot is located in a region where hadronic channels are strongly coupled. We illustrate our discussion comparing the recent observation of CP violation in the $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ and $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ phase space, with a calculation based on $\pi \pi \to KK$ scattering.

Comments: 6 pages, 1 figure. Version accepted for publication in the Physical Review D