Violation of CPT and Quantum Mechanics in the K0--K0bar System

Abstract

We reconsider the model of quantum mechanics violation in the $\ko$--$\kob$ system, due to Ellis, Hagelin, Nanopoulos, and Srednicki, in which \cp- and \cpt-violating signatures arise from the evolution of pure states into mixed states. We present a formalism for computing time-dependent asymmetries in this model and show that present data constrains its parameters significantly. In the future, this model will be put to very stringent tests at a $\varphi$ factory. We present the theory of these tests and show the relation between particular $\varphi$ decay correlations and the parameters of quantum mechanics violation.

50 pages, uses PHYZZX, one figure available on request. This revised version contains minor corrections, improved bounds on the parameters which measure violation of quantum mechanics, and a more complete set of formulae