Determination of the T-and CPT-violation parameters in the neutral-kaon system using theBell-Steinberger relation and data from CPLEAR.
CPLEAR CollaborationA. Apostolakis 1) , E. Aslanides 11) , G. Backenstoss 2) , P.
AbstractData 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( ) and the CPT-violation parameter Im(δ) of the neutral-kaon mixing matrix to be determined with an increased accuracy:−5 . Moreover, the constraint allows the CPT-violation parameter for the neutralkaon semileptonic decays, Re(y), to be determined for the first time. The ∆S = ∆Q 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.
(Submitted to Physics Letters B)
IntroductionThe CPLEAR experiment has directly measured for the first time the violation of T invariance in the neutral-kaon system [1] and has provided a new, more accurate limit for the CPT-violation parameter Re(δ) [2]. These results were obtained by analysing the rate asymmetries between K 0 and K 0 for decays to e ± π ∓ ν, as a function of the decay time t = τ .In continuation of this work we have studied the constraints on our results deriving from the Bell-Steinberger (or unitarity) relation [3][4][5]. The Bell-Steinberger relation relates all decay channels of neutral kaons to the parameters describing T and CPT non-invariance. With the present precision of the two-pion decay parameters the dominant uncertainties arise from the three-pion and semileptonic decays. Moreover, the semileptonic decays enter the relation with the parameter Re(y), describing CPT violation in semileptonic decays and as yet not measured. Having improved the precision of three-pion decays [7,8] and measured precisely the semileptonic decay rates, CPLEAR allows the determination of all parameters with an unprecedented accuracy. We stress here that they are obtained free of theoretical assumptions, apart from unitarity, unlike others obtained previously also using the unitarity relation [6].