Extracting Rephase-invariant CP and CPT Violating Parameters from Asymmetries of Time-Ordered Integrated Rates of Correlated Decays of Entangled Mesons

TL;DR

This paper develops a model-independent method to measure CP and CPT violation parameters using time-ordered decay rates of entangled mesons, providing general formulas applicable to various decay modes.

Contribution

It introduces a novel formalism that relates measurable asymmetries in decay rates to CP and CPT violating parameters in a model-independent way.

Findings

Derived general formulas for CP and CPT violation parameters.

Applicable to all decay products of entangled mesons.

Discussed specific cases relevant to experiments.

Abstract

We present a general model-independent formalism of measuring CP and CPT violating parameters through time-ordered integrated rates of correlated decays of $C=\pm 1$ entangled states of neutral pseudoscalar mesons. We give the general formulae of CP and CPT violating parameters in terms of four measurable asymmetries defined for the time-ordered integrated rates, applicable to all kinds of decay product. Two special cases which are often realized in experiments are discussed specifically.