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 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±ℓ∓ν 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).
Highlights
A direct test of T sym m etry in the neutral K meson system at KLOE-2
Q uantum entanglement of neutral K meson pairs uniquely available at KLOE-2 allows to probe the T sym m etry directly and independently of CP violation
T he reason for this is th a t a direct measurement of T non-invariance would require observation of a probability asymm etry betw een a process and th e same process inverted in tim e and such an experim ent is difficult to realize for any unstable system
Summary
A direct test of T sym m etry in the neutral K meson system at KLOE-2 The time-reversal sym m etry in this system, its violation should follow from the well confirmed C P T invariance, lacked a direct experim ental evidence for decades after C P violation discovery w ith neutral kaons in 1964 [1].
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