CPT violation and cascade decays

TL;DR

This paper analyzes CPT violation in cascade decays involving neutral mesons, showing how certain CPT-violating parameters can be extracted from decay time dependence, while others remain entangled with decay amplitude ratios.

Contribution

It provides a detailed analysis of CPT violation parameters in cascade decays, distinguishing which can be measured independently and which cannot.

Findings

CPT violation in P^0 - P^0-bar mixing can be extracted from decay time dependence.

CPT violation in M^0 - M^0-bar mixing is entangled with decay amplitude ratios.

Time-dependent analysis can isolate certain CPT-violating effects.

Abstract

In tagged cascade decays of the type P^0 (P^0-bar) -> M^0 / M^0-bar X -> f X there are two complex CPT-violating parameters: one in P^0 - P^0-bar mixing, the other one in M^0 - M^0-bar mixing. I analyze those decays and find that, in principle, the former parameter can be extracted from a careful comparison of their time dependences. CPT violation in M^0 - M^0-bar mixing, on the other hand, always appears entangled with ratios of decay amplitudes and cannot be extracted.