A fresh look at neutral meson mixing

M. A. Gomshi Nobary; B. Mojaveri

doi:10.1016/j.physletb.2007.04.025

paper

A fresh look at neutral meson mixing

arXiv:0802.3609 · doi:10.1016/j.physletb.2007.04.025

Abstract

In this work we show that the existence of a complete biorthonormal set of eigenvectors of the effective Hamiltonian governing the time evolution of neutral meson system is a necessary condition for diagonalizability of such a Hamiltonian. We also study the possibility of probing the $C P T$ invariance by observing the time dependence of cascade decays of type $P^{\circ} (P^{\circ} ˉ) \to {M_{a}, M_{b}} X \to f X$ by employing such basis and exactly determine the $C P T$ violation parameter by comparing the time dependence of the cascade decays of tagged $P^{\circ}$ and tagged $P^{\circ} ˉ$ .

11 pages