Violation of LGtI inequalities in the light of NO$\nu$A and T2K anomaly

Abstract

The recent anomaly observed in NO$\nu$A and T2K experiments in standard three-flavor neutrino oscillation could potentially signal physics extending beyond the standard model (SM). For the NSI parameters that can accommodate this anomaly, we explore the violation of Leggett-Garg type inequalities (LGtI) within the context of three-flavor neutrino oscillations. Our analysis focuses on LGtI violations in scenarios involving complex NSI with ${\epsilon }_{e\mu }$ or ${\epsilon }_{e\tau }$ coupling in long baseline accelerator experiments for normal and inverted mass ordering.LGtI violation is significantly enhanced in normal ordering (NO) for ${\epsilon }_{e\tau }$ scenario for T2K, NO$\nu$A, and DUNE experiment set-up. We find that for inverted ordering (IO), in the DUNE experimental set-up above $8.5$ GeV, the LGtI violation can be an indication of ${\epsilon }_{e\tau }$ new physics scenario.

7 pages, 2 figure

References in corpus (9)

• Entanglement in neutrino oscillations
• Multipartite entangled states in particle mixing
• CP-Violating Neutrino Non-Standard Interactions in Long-Baseline-Accelerator Data
• Non-standard neutrino interactions as a solution to the NO$\nu$A and T2K discrepancy
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
• Enhanced violation of Leggett-Garg Inequality in three flavour neutrino oscillations via non-standard interactions
• Can NSI affect non-local correlations in neutrino oscillations?
• Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations

Cited by in corpus (2)

• Alleviating the present tension between T2K and NO$\nu$A with nonstandard neutrino interactions
• Steering in Neutrino Oscillations with Non-Standard Interaction