Study of the $K_S{K}_L\to \pi \ell \nu 3{\pi }^0$ process for time reversal symmetry test at KLOE-2

Abstract

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 directly the time-reversal symmetry (T) independently of CP violation. This is achieved by a comparison of probabilities for a transition between flavour and CP-definite states and its inverse obtained through exchange of initial and final states. As such a test requires the reconstruction of the $K_L\to 3{\pi }^0$ decay accompanied by $K_S\to {\pi }^{\pm }{\ell }^{\mp }\nu$ with good timing information, a new reconstruction method for this process is also presented which is capable of reconstructing the $K_L\to 3{\pi }^0$ decay with decay time resolution of O(1${\tau }_S$).

arXiv commentSubmitted to Acta Physica Polonica B (5 pages, 3 figures)

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• Study of the $K_S{K}_L\to \pi \ell \nu 3{\pi }^0$ process for time reversal symmetry test at KLOE-2
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