Testing Violations of CP, CPT and Bose Symmetries via Dalitz Plots and Dalitz Prisms

Abstract

The nature of any new physics or new dynamics is still unknown. There has been persistent pursuit of its footprints in various elementary particle processes. Unusual violations of CP, CPT and Bose symmetries in any decay mode provide an interesting avenue to search for new physics. Hence, any new method to look for such violations constitutes a step forward. In this article we discuss how violations of CP, CPT and Bose symmetries in some three-body meson decays lead to an observable asymmetry in their Dalitz plots. This method when extended to multi-body decays as well as continuum production processes lead to an observable asymmetry in the ‘Dalitz prism’ which is a generalization of the Dalitz plot. The Dalitz prism would help in precise measurements of these symmetry violations.