CP Asymmetries in Three-Body Final States in Charged $D$ Decays & CPT Invariance

Abstract

The study of local \cp \ asymmetry in Dalitz plots of charm (& beauty) decays gives us more information about the underlying dynamics than the ratio between total rates. In this paper we explore the consequences of the constraint from \cpt \ symmetry with emphasis on three-body $D$ decays. We show simulations of $D^{\pm }\to {\pi }^{\pm }{K}^{+}{K}^{-}$ and discuss correlations with measured $D^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$. There are important comments about analysies of recent LHCb data in \cp\ asymmetries for $B^{\pm }$ decays to three-body final states.

Comments: 14 pages, 6 Figures