Quantum correlations and the neutrino mass degeneracy problem

TL;DR

This paper investigates how quantum correlations in neutrino oscillations can reveal the neutrino mass hierarchy, with the DUNE experiment showing the highest sensitivity due to its large baseline and energy.

Contribution

It demonstrates the sensitivity of quantum correlations to the neutrino mass hierarchy across different experiments, highlighting DUNE's superior potential for this purpose.

Findings

Quantum correlations are sensitive to the neutrino mass hierarchy.

DUNE experiment shows more prominent sensitivity than NOνA and T2K.

Neutrino beam preference depends on the sign of the mass square difference.

Abstract

Many facets of nonclassicality are probed in neutrino system in the context of three flavour neutrino oscillations. The analysis is carried out for parameters relevant to two ongoing experiments NO$\nu$A and T2K, and also for the upcoming experiment DUNE. The various quantum correlations turn out to be sensitive to the mass-hierarchy problem in neutrinos. This sensitivity is found to be more prominent in DUNE experiment as compared to NO$\nu$A and T2K experiments. This can be attributed to the large baseline and high energy of the DUNE experiment. Further, we find that to probe these correlations, the neutrino (antineutrino) beam should be preferred if the sign of mass square difference $\Delta_{31}$ turns out to be positive (negative).