CP,T and/or CPT violations in the K0-K0 system. Implications of the KTeV,NA48 and CPLEAR results

The possible violation of the CP,T and/or CPT symmetries in the K0-K0 system is studied from a phenomenological point of view. With this aim, we first introduce parameters which represent the violation of these symmetries in the mixing parameters and decay amplitudes in a convenient and well-defined way and, treating these parameters as small, derive formulas which relate them to the experimentally measured quantities. We then perform numerical analyses, with the aid of the Bell-Steinberger relation, to derive constraints on these symmetry-violating parameters, firstly paying particular attention to the results reported by the KTeV Collaboration and the NA48 Collaboration, and then with the results reported by the CPLEAR Collaboration as well taken into account. A case study, in which either CPT symmetry or T symmetry is assumed, is also carried out. It is demonstrated that the CP and T symmetries are violated definitively at the level of 10-4 in 2π decays and presumably at the level of 10-3 in the K0-K0 mixing, and that the Bell-Steinberger relation helps us to establish that CP and T violations are definitively present in K0-K0 mixing and to test CPT symmetry to a level of 10-4∝10-5. (orig.)