Correlations between ${\theta }_{13}$ and ${\theta }_{23}$ in a very long baseline neutrino oscillation experiment

Abstract

A very long baseline experiment, with $L/E$ of $1.6\times 10^4$ m/MeV, has been proposed as the ideal means to measure ${\theta }_{13}$, including its sign, for neutrino energies less than 50 MeV. Higher energies require consideration of the earth MSW effect. Approximating a constant density mantle, we examine the ${\nu }_e$--${\nu }_{\mu }$ and ${\nu }_{\mu }$--${\nu }_{\mu }$ oscillation channels at very long baselines with particular focus upon the deviation of ${\theta }_{23}$ from maximal mixing and the sign of ${\theta }_{13}$. It is demonstrated that measurements of these oscillation channels in this region are sensitive to ${\theta }_{13}$, including its sign, and to ${\theta }_{23}$, including its octant, with a significant correlation between the value of ${\theta }_{13}$ and the difference of ${\theta }_{23}$ from maximal mixing.

arXiv comment8 pages, 3 figures

References in corpus (44)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• Limits on Neutrino Oscillations from the CHOOZ Experiment
• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• A Measurement of Atmospheric Neutrino Oscillation Parameters by Super-Kamiokande I
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Status of global fits to neutrino oscillations
• Evidence for an oscillatory signature in atmospheric neutrino oscillation
• Measurement of the solar neutrino capture rate with gallium metal
• Measurement of the flux and zenith-angle distribution of upward through-going muons by Super-Kamiokande
• Measurement of a small atmospheric ${\nu }_{\mu }/{\nu }_e$ ratio
• GNO Solar Neutrino Observations: Results for GNOI
• Study of the atmospheric neutrino flux in the multi-GeV energy range
• Evidence for muon neutrino oscillation in an accelerator-based experiment
• Measurement of the Solar Neutrino Capture Rate by the Russian-American Gallium Solar Neutrino Experiment During One Half of the 22-Year Cycle of Solar Activity
• Neutrino Masses and Mixing: Evidence and Implications
• Breaking Eight-fold Degeneracies in Neutrino CP Violation, Mixing, and Mass Hierarchy
• Series expansions for three-flavor neutrino oscillation probabilities in matter
• Solar models and solar neutrino oscillations
• Progress in the physics of massive neutrinos
• Atmospheric neutrinos at Super-Kamiokande and parametric resonance in neutrino oscillations
• Systematic Exploration of the Neutrino Factory Parameter Space including Errors and Correlations
• Solar Neutrinos Before and After Neutrino 2004
• Earth regeneration effect in solar neutrino oscillations: an analytic approach
• Atmospheric neutrinos: LMA oscillations, Ue3 induced interference and CP-violation
• Three-Neutrino Mixing after the First Results from K2K and KamLAND
• Atmospheric Neutrino Oscillations, theta(13) and Neutrino Mass Hierarchy
• Testing the Solar Neutrino Conversion with Atmospheric Neutrinos
• A question of hierarchy: matter effects with atmospheric neutrinos and anti-neutrinos
• Three-Neutrino Oscillations of Atmospheric Neutrinos, theta13, Neutrino Mass Hierarchy and Iron Magnetized Detectors
• Measuring the deviation of the 2-3 lepton mixing from maximal with atmospheric neutrinos
• Search for Electron Neutrino Appearance in a 250 km Long-baseline Experiment
• Impact of two mass-scale oscillations on the analysis of atmospheric and reactor neutrino data
• Comment on the possible electron neutrino excess in the Super-Kamiokande atmospheric neutrino experiment
• Physical region for three-neutrino mixing angles
• Neutrino oscillations: measuring ${\theta }_{13}$ including its sign

Cited by in corpus (5)

• Atmospheric, long baseline, and reactor neutrino data constraints on ${\theta }_{13}$
• Implications of the Super-K atmospheric data for the mixing angles ${\theta }_{13}$ and ${\theta }_{23}$
• On detecting CP violation in a single neutrino oscillation channel at very long baselines
• Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
• The impact of hierarchy upon the values of neutrino mixing parameters