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This work presents prospects for conducting a novel direct test of time-reversal symmetry at the KLOE-2 experiment. Quantum entanglement of neutral K meson pairs uniquely available at KLOE-2 allows to probe the T symmetry directly and independently of CP violation. This is achieved by a comparison of probabilities for a transition and its inverse obtained through an exchange of initial and final states. Such transitions between flavor and CP-definite states of the neutral kaons are only connected by the T conjugation which ensures the CP-independence of the test. While a similar measurement was performed by the BaBar experiment with neutral B mesons, the KLOE-2 detector can test T-violation in the neutral kaons system. Such a test requires i.a. reconstruction of the KL → 3π0 decay accompanied by Ks → π±lν with good timing information. Therefore a new reconstruction method for the KL → 3π0 decay is also presented which is capable of reconstructing this process with decay time resolution of O(1τS).

A direct test ofTsymmetry in the neutral K meson system at KLOE-2