Three-flavoured neutrino oscillations and the Leggett–Garg inequality

Three-flavoured neutrino oscillations are investigated in the light of the Leggett–Garg inequality (LGI). The results obtained are: (a) The maximum violation of the LGI is 2.17036 for neutrino path length L 1 = 140.15 km and Δ L = 1255.7 km. (b) The presence of the mixing angle θ 13 enhances the maximum violation of LGI by 4.6 % . (c) The currently known mass hierarchy parameter α = 0.0305 increases the maximum violation of LGI by 3.7 % . (d) The presence of a CP-violating phase parameter enhances the maximum violation of LGI by 0.24 % , thus providing an alternative indicator of CP violation in three-flavoured neutrino oscillations. The outline of an experimental proposal is suggested whereby the findings of this investigation may be verified.