Some exact results on CP and CPT violations in a $C=-1$ entangled pseudoscalar neutral meson pair

TL;DR

This paper derives exact formulas for joint decay rates and asymmetries of entangled neutral pseudoscalar mesons, providing new insights into CP and CPT violation effects in such systems.

Contribution

It presents novel exact results on decay rates and asymmetries related to CP and CPT violations in entangled meson pairs, enhancing understanding of symmetry violations.

Findings

Exact formulas for joint decay rates as functions of CP and CPT violation parameters

Identification of asymmetries useful for detecting CP and CPT violations

Framework for analyzing transition amplitudes from CP eigenstates

Abstract

We consider neutral pseudoscalar mesons in an entangled or Einstein-Podolsky-Rosen state with $C=-1$. Due to quantum entanglement and antisymmetry of this state, the rates of the joint decays of the meson pair display various interesting features, as is well known. As functions of CP and CPT violating parameters, here we obtain some exact results about the joint decay rates and their asymmetries for a given time difference defined for joint decays to flavor eigenstates, as well as those for joint decays to CP eigenstates. The entanglement allows a meaningful and useful definition of the transition amplitude from a CP eigenstate of a meson. These results yield useful information and criteria on CP and CPT violations.