CPasymmetries in three-body final states in chargedDdecays andCPTinvariance

Abstract

The study of regional $CP$ 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 ${D}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}{K}^{+}{K}^{\ensuremath{-}}$ and discuss correlations with measured ${D}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. There are important comments about analysis of recent LHCb data in $CP$ asymmetries for ${B}^{\ifmmode\pm\else\textpm\fi{}}$ decays to three-body final states.