Determination of the ${\theta }_{23}$ octant in long baseline neutrino experiments within and beyond the standard model

Abstract

The recent data indicate that the neutrino mixing angle ${\theta }_{23}$ deviates from the maximal-mixing value of 45${}^{\circ }$, showing two nearly degenerate solutions, one in the lower octant (LO) (${\theta }_{23}<45^{\circ }$) and one in the higher octant (HO) (${\theta }_{23}>45^{\circ }$). We investigate, using numerical simulations, the prospects for determining the octant of ${\theta }_{23}$ in the future long baseline oscillation experiments. We present our results as contour plots on the (${\theta }_{23}-45^{\circ }$, $\delta$)--plane, where $\delta$ is the $CP$ phase, showing the true values of ${\theta }_{23}$ for which the octant can be experimentally determined at 3$\sigma$, 2$\sigma$ and 1$\sigma$ confidence level. In particular, we study the impact of the possible nonunitarity of neutrino mixing on the experimental determination of ${\theta }_{23}$ in those experiments.

17 pages, 5 figures

References in corpus (15)

• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Neutrino oscillations refitted
• Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6E20 protons on target
• CP Violation and Neutrino Oscillations
• Constraints on Oscillation Parameters from ${\nu }_e$ Appearance and ${\nu }_{\mu }$ Disappearance in NOvA
• Probing CP violation with non-unitary mixing in long-baseline neutrino oscillation experiments: DUNE as a case study
• Degeneracy between ${\theta }_{23}$ octant and neutrino non-standard interactions at DUNE
• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Imprints of a light Sterile Neutrino at DUNE, T2HK and T2HKK
• Sensitivities and synergies of DUNE and T2HK
• Predictive Pati-Salam theory of fermion masses and mixing
• Probing Direct and Indirect Unitarity Violation in Future Accelerator Neutrino Facilities
• Resolving the atmospheric octant by an improved measurement of the reactor angle
• A hybrid setup for fundamental unknowns in neutrino oscillations using T2HK ($\nu$) and $\mu$-DAR ($\bar{\nu }$)

Cited by in corpus (5)

• Matter Density Profile Shape Effects at DUNE
• Exploring SMEFT Induced Non-Standard Interactions from COHERENT to Neutrino Oscillations
• Exploring NSI degeneracies in long-baseline experiments
• Impact of Cross-Sectional Uncertainties on DUNE Sensitivity due to Nuclear Effects
• Probability Thermodynamics and Probability Quantum Field