Determination of the T- and CPT-violation parameters in the neutral-kaon system using the Bell–Steinberger relation and data from CPLEAR

Data from the CPLEAR experiment, together with the most recent world averages for some of the neutral-kaon parameters, were constrained with the Bell–Steinberger (or unitarity) relation, allowing the T-violation parameter Re(ϵ) and the CPT-violation parameter Im(δ) of the neutral-kaon mixing matrix to be determined with an increased accuracy: Re(ϵ)=(164.9±2.5)×10−5, Im(δ)=(2.4±5.0)×10−5. Moreover, the constraint allows the CPT-violation parameter for the neutral-kaon semileptonic decays, Re(y), to be determined for the first time. The ΔS≠ΔQ parameters Re(x−) and Im(x+) are given with an increased accuracy. The quantity Re(y+x−), which enters the T-violation CPLEAR asymmetry previously published, is determined to be (−0.2±0.3)×10−3. The value obtained for Re(δ) is in agreement with the one resulting from a previous unconstrained fit and has a slightly smaller error.