A direct test of T, CP and CPT symmetries in transitions of neutral kaons with KLOE data

Direct tests of T, CP, CPT symmetries in transitions processes of neutral kaons are briefly reviewed. The exchange of in and out states required for a genuine test involving time-reversal is implemented exploiting the entanglement of pairs produced at a ϕ-factory. A data sample collected by the KLOE experiment at DAΦNE corresponding to an integrated luminosity of about 1.7 fb−1 is analysed to study the ϕ → KSKL → π+π− πeν and ϕ → KSKL → πeν 3π0 processes, and to perform the first direct tests of T and CPT symmetries in kaon transitions with a precision of few percent, and to observe CP violation with this novel method.