Searching for Rephase-Invariant CP- and CPT-violating Observables in Meson Decays

TL;DR

This paper develops a model-independent framework to relate CP and CPT violation observables in meson decays to fundamental parameters, emphasizing the importance of time-dependent measurements for detecting CPT violation.

Contribution

It introduces a rephase-invariant formalism that connects CP and CPT violations across various meson systems in a model-independent way.

Findings

Explicit definitions of CP and CPT violations in multiple meson systems.

Identification of time-dependent measurements as a tool to detect CPT violation.

Emphasis on the significance of the formalism for experimental interpretation.

Abstract

We present a general model-independent and rephase-invariant formalism that cleanly relates CP and CPT noninvariant observables to the fundamental parameters. Different types of CP and CPT violations in the K^0-, B^0-, B_s^0- and D^0-systems are explicitly defined. Their importance for interpreting experimental measurements of CP and CPT violations is emphasized. In particular, we show that the time-dependent measurements allow one to extract a clean signature of CPT violation.