Testing discrete symmetries in transitions with entangled neutral kaons

A direct test of the T, CP and CPT symmetries in the neutral kaon system can be performed comparing a transition process i → f to its symmetry conjugated one. The exchange of in and out states required for genuine tests involving the time-reversal T can be performed exploiting the entanglement of the kaon pair produced at a φ-factory. In particular, using this method, it would be possible to perform a very clean and fully robust CPT test, which might shed light on possible new CPT-violating mechanisms. It is being implemented with the KLOE-2 experiment at the DAΦNE facility in Frascati, where a statistical sensitivity of O(10-3) on the newly proposed observable quantities could be reached.