Three-flavoured neutrino oscillations and the Leggett–Garg inequality

Debashis Gangopadhyay; Animesh Sinha Roy

doi:10.1140/epjc/s10052-017-4837-2

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 260
https://doi.org/10.1140/epjc/s10052-017-4837-2

Regular Article - Theoretical Physics

Three-flavoured neutrino oscillations and the Leggett–Garg inequality

Debashis Gangopadhyay^* and Animesh Sinha Roy

Department of Physics, Ramakrishna Mission Vivekananda University, Belur Matth, Howrah, West Bengal, 711202, India

^* e-mail: debashis@rkmvu.ac.in

Received: 16 February 2017
Accepted: 13 April 2017
Published online: 25 April 2017

Abstract

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 $\Delta L=1255.7$ km. (b) The presence of the mixing angle $\theta _{13}$ enhances the maximum violation of LGI by $4.6\%$ . (c) The currently known mass hierarchy parameter $\alpha = 0.0305$ 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.