Steering in neutrino oscillations with non-standard interaction

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 ν A and DUNE experimental setups. DUNE, having a longer baseline, exhibits a more pronounced deviation towards NSI in steering compared to NO ν 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.