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

TL;DR

This paper explores how final state interactions and CPT invariance influence CP violation in three-body B± decays, highlighting their role alongside short-distance effects in observed asymmetries.

Contribution

It demonstrates the significant impact of final state interactions and CPT invariance on CP violation in B± decays, supported by a scattering-based calculation.

Findings

Final state interactions contribute to CP asymmetries in B± decays.

CPT invariance constrains the distribution of CP violation in decay phase space.

Hadronic channel coupling affects CP violation patterns.

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.