Steering in Neutrino Oscillations with Non-Standard Interaction

TL;DR

This paper investigates how Non-Standard Interactions affect neutrino oscillation steering in experiments like DUNE and NO$ u$A, revealing significant deviations from the Standard Model and analyzing quantum correlations.

Contribution

It provides a detailed analysis of NSI effects on neutrino steering, including experimental implications and the relationship between steering, nonlocality, and entanglement in three-flavor oscillations.

Findings

DUNE shows a 21% deviation in steering from the SM for normal ordering.

Inverted ordering increases steering by approximately 15% relative to the SM.

Steering can be expressed through neutrino oscillation probabilities and related to quantum entanglement measures.

Abstract

In this study, we analyze the influence of Non-Standard Interaction (NSI) on steering in three-flavor neutrino oscillations, with a focus on the NO$\nu$A and DUNE experimental setups. DUNE, having a longer baseline, exhibits a more pronounced deviation towards NSI in steering compared to NO$\nu$A. Within the energy range where DUNE's maximum flux appears, the steering value for DUNE shows a $21\%$ deviation from the Standard Model (SM) to NSI for normal ordering (NO), while for inverted ordering (IO), the steering value increases by approximately $15\%$ relative to the SM. We conduct a comparative analysis of nonlocality, steering, and entanglement. Additionally, we express steering in terms of three-flavor neutrino oscillation probabilities and explore the relationship between steering inequality and concurrence.