Probing CPT violation in meson mixing by non-cyclic phase

TL;DR

This paper proposes a novel method to test CPT symmetry in meson systems by analyzing non-cyclic phases in their time evolution, which are sensitive to CPT violation and can be observed in systems like B_s and K mesons.

Contribution

It introduces a new approach to detect CPT violation through non-cyclic phase analysis in mixed mesons, utilizing non-Hermitian quantum mechanics formalism.

Findings

Non-zero phase difference indicates CPT violation.

Applicable to B_s and K meson systems.

Provides a new experimental test for CPT symmetry.

Abstract

The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter $z$ describing the $CPT$ violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of $CPT$ symmetry breaking. Thus, a completely new test for the $CPT$ invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the $B_{s}^{0}-\bar{B}_{s}^{0}$ and the $K^{0}-\bar{K}^{0}$ ones. In order to introduce non-cyclic phases, some aspects of the formalism describing the mixed neutral mesons are analyzed. Since the effective Hamiltonian of systems like $K^{0}-\bar{K}^{0}$, $B^{0}-\bar{B}^{0}$, $B_{s}^{0}-\bar{B}_{s}^{0}$, $D^{0}-\bar{D}^{0}$ is non-Hermitian and non-normal, it is necessary to diagonalize it by utilizing the rules of non-Hermitian quantum mechanics.