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Quantum entanglement of K and B mesons allows for a direct experimental testof time-reversal symmetry independent of CP violation. The T symmetry can beprobed by exchange of initial and final states in the reversible transitionsbetween flavour and CP-definite states of the mesons which are only connectedby the T conjugation. While such a test was successfully performed by the BaBarexperiment with neutral B mesons, the KLOE-2 detector can probe T-violation inthe neutral kaon system by investigating the process with Ks->pi l nu andKl->3pi0 decays. Analysis of the latter is facilitated by a novelreconstruction method for the vertex of Kl->3pi0 decay which only involvesneutral particles. Details of this new vertex reconstruction technique arepresented as well as prospects for conducting the direct T symmetry test at theKLOE-2 experiment.

A direct test of T symmetry in the neutral K meson system with Ks->pi l nu and Kl->3pi0 at KLOE-2