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The present work is devoted to the characterization of the Leggett-Garginequality for three-flavoured neutrino oscillations in presence of both matterand Charge-Conjugation and Parity violating (CP) effects. This studycomplements and completes the recent one put forward in [17] by relaxing thestationary condition. At variance with the latter case, the LGI containsinterference terms which cannot be expressed in terms of experimentallymeasurable quantities, thus drawing a clear-cut distinction between the twoscenarios, as well as highlighting the role of the stationary assumption onsuch systems. We find that the additional terms are small for high energyneutrino beam compared to the maximum value attained by the Leggett-Gargparameter.

Leggett-Garg inequality in the context of three flavour neutrino oscillation