Precision Tests of CPT Symmetry and Quantum Mechanics in the Neutral Kaon System

Abstract

We present a systematic phenomenological analysis of the tests of CPT symmetry that are possible within an {\em open} quantum-mechanical description of the neutral kaon system that is motivated by arguments based on quantum gravity and string theory. We develop a perturbative expansion in terms of the three small CPT-violating parameters admitted in this description, and provide expressions for a complete set of $K\to 2\pi ,3\pi$ and $\pi \ell \nu$ decay observables to second order in these small parameters. We also illustrate the new tests of CPT symmetry and quantum mechanics that are possible in this formalism using a regenerator. Indications are that experimental data from the CPLEAR and previous experiments could be used to establish upper bounds on the CPT-violating parameters that are of order $10^{-19}$ GeV, approaching the order of magnitude that may be attainable in quantum theories of gravity.

47 pages (LaTeX), 6 figures (uuencoded)

References in corpus (6)

• CPT, Strings, and Meson Factories
• String Theory Modifies Quantum Mechanics
• Violation of CPT and Quantum Mechanics in the K0--K0bar System
• Test of CPT Symmetry and Quantum Mechanics with Experimental data from CPLEAR
• Testing Quantum Mechanics in the Neutral Kaon System
• As time goes by

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