Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations

TL;DR

This paper investigates how non-standard neutrino interactions, suggested by recent data analyses, influence quantum correlations and temporal inequalities in neutrino oscillations, especially in the context of the DUNE experiment.

Contribution

It analyzes the impact of new physics scenarios on quantum correlations and temporal inequalities in neutrino oscillations, highlighting potential experimental signatures.

Findings

Violation of LGtI indicates new physics, especially LMA-Dark with inverted ordering.

LMA-Light reduces quantum correlation measures compared to the Standard Model.

LMA-Dark can significantly enhance quantum correlations.

Abstract

Effects of physics beyond the standard model in the neutrino sector are conveniently incorporated through non-standard interaction parameters. Assuming new physics in the form of dimension-6 vector operators, a recent global analysis of neutrino oscillation data including results from COHERENT experiment suggests two favorable new physics scenarios. These are LMA-Light (with normal mass ordering) \& LMA-Dark (with inverted mass ordering) sectors of parameters. In this work, we study the effects of new physics solutions on Leggett-Garg-type (LGtI) inequality which quantifies temporal correlations in the system along with flavor entropy and genuine tripartite entanglement which can be considered as measures of spatial correlations. We show that the violation of LGtI for $\nu_{\mu}$ energy around 3 GeV in the DUNE experimental set-up can not only be an indication of presence of new physics but such a new physics is expected to be in the form of LMA-Dark sector with inverted ordering. Further, we show that the LMA-Light solution, in general, decreases the values of all measures of quantum correlations in comparison to their SM predictions. On the other hand, the Dark solution can significantly enhance the values of these measures.