New plots and parameter degeneracies in neutrino oscillations

Abstract

It is shown that eightfold degeneracy in neutrino oscillations is easily seen by plotting constant probabilities in the $({\sin }^{2}2{\theta }_{13},1/s_{23}^2)$ plane. Using this plot, we discuss how an additional long baseline measurement resolves degeneracies after the JPARC experiment measures the oscillation probabilities $P({\nu }_{\mu }\to {\nu }_e)$ and $P({\bar{\nu }}_{\mu }\to {\bar{\nu }}_e)$ at $|\Delta m_{31}^2|L/4E=\pi /2$. By measuring $P({\nu }_{\mu }\to {\nu }_e)$ or $P({\bar{\nu }}_{\mu }\to {\bar{\nu }}_e)$, the sgn($\Delta m_{31}^2$) ambiguity is resolved better at longer baselines and the $\delta \leftrightarrow \pi -\delta$ ambiguity is resolved better when $||\Delta m_{31}^2|L/4E-\pi /2|$ is larger. The ${\theta }_{23}$ ambiguity may be resolved as a byproduct if $||\Delta m_{31}^2|L/4E-\pi |$ is small and the CP phase $\delta$ turns out to satisfy $|\cos (\delta +|\Delta m_{31}^2|L/4E)|\sim 1$. It is pointed out that the low energy option ($E\sim$1GeV) at the off-axis NuMI experiment may be useful in resolving these ambiguities. The ${\nu }_e\to {\nu }_{\tau }$ channel offers a promising possibility which may potentially resolve all the ambiguities.

29 pages, 12 sets of figures. For "Focus on Neutrino Physics" issue of New Journal of Physics

References in corpus (10)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Neutrino Factories and the "Magic" Baseline
• Reactor Measurement of ${\theta }_{13}$ and Its Complementarity to Long-Baseline Experiments
• Reactor Neutrino Experiments Compared to Superbeams
• The synergy of the golden and silver channels at the Neutrino Factory
• Parameter Degeneracies in Neutrino Oscillation Measurement of Leptonic CP and T Violation
• Synergies between the first-generation JHF-SK and NuMI superbeam experiments
• Exploring Leptonic CP Violation by Reactor and Neutrino Superbeam Experiments
• How two neutrino superbeam experiments do better than one
• The Complementarity of Eastern and Western Hemisphere Long-Baseline Neutrino Oscillation Experiments

Cited by in corpus (23)

• Physics potential of the CERN-MEMPHYS neutrino oscillation project
• Resolving parameter degeneracies in long-baseline experiments by atmospheric neutrino data
• Quantization of Fermionic Fields with Two Mass States in the First Order Formalism
• Earth Matter Effects at Very Long Baselines and the Neutrino Mass Hierarchy
• A low energy neutrino factory for large ${\theta }_{13}$
• From parameter space constraints to the precision determination of the leptonic Dirac CP phase
• A Neutrino Factory for both Large and Small theta_13
• Leptonic CP Violation and Neutrino Mass Models
• Super-NOvA: a long-baseline neutrino experiment with two off-axis detectors
• On the improvement of the low energy neutrino factory
• ${\nu }_{\mu }$ disappearance at the SPL, T2K-I, NO$\nu$A and the Neutrino Factory
• Complementarity Between Hyperkamiokande and DUNE in Determining Neutrino Oscillation Parameters
• Determining the Neutrino Mass Hierarchy and CP Violation in NOvA with a Second Off-Axis Detector
• NOvA and T2K: The race for the neutrino mass hierarchy
• The $\tau$-contamination of the golden muon sample at the Neutrino Factory
• Physics Potential of the Fermilab NuMI beamline
• Understanding the performance of the low energy neutrino factory: the dependence on baseline distance and stored-muon energy
• A combined beta-beam and electron capture neutrino experiment
• CP-violation reach of an electron capture neutrino beam
• Revising the Solution of the Neutrino Oscillation Parameter Degeneracies at Neutrino Factories
• Neutrino Oscillations in Finite Time Path Out-of-Equilibrium Thermal Field Theory
• Degeneracy and strategies of long baseline and reactor experiments
• Parameter degeneracies and new plots in neutrino oscillations