Regular Article - Theoretical Physics
Three-flavoured neutrino oscillations and the Leggett–Garg inequality
Department of Physics, Ramakrishna Mission Vivekananda University, Belur Matth, Howrah, West Bengal, 711202, India
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Accepted: 13 April 2017
Published online: 25 April 2017
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 km and km. (b) The presence of the mixing angle enhances the maximum violation of LGI by . (c) The currently known mass hierarchy parameter increases the maximum violation of LGI by . (d) The presence of a CP-violating phase parameter enhances the maximum violation of LGI by , 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.
© The Author(s), 2017