UntanglingCPviolation and the mass hierarchy in long baseline experiments

2004/08/05 by Olga Mena, Stephen Parke · 11 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.70.093011

published as Phys.Rev.D70:093011,2004 · 15 pages, Latex, 4 postscript figures. Submitted to New Journal of Physics, ``Focus on Neutrino Physics'' issue

arxiv created 2004/08/05 · openalex publication_date 2004/11/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

In the overlap region, for the normal and inverted hierarchies, of the neutrino-antineutrino bi-probability space for \ensuremathν_\ensuremathμ\ensuremath→\ensuremathν_e appearance, we derive a simple identity between the solutions in the (sin²2\ensuremathθ₁₃, sin\ensuremathδ) plane for the different hierarchies. The parameter sin²2\ensuremathθ₁₃ sets the scale of the \ensuremathν_\ensuremathμ\ensuremath→\ensuremathν_e appearance probabilities at the atmospheric \ensuremathδm_atm²\ensuremath≈2.4\ifmmode×\else\texttimes\fi10^\ensuremath-3 eV² whereas sin\ensuremathδ controls the amount of CP violation in the lepton sector. The identity between the solutions is that the difference in the values of sin\ensuremathδ for the two hierarchies equals twice the value of √sin²2\ensuremathθ₁₃ divided by the critical value of √sin²2\ensuremathθ₁₃. We apply this identity to the two proposed long baseline experiments, T2K and NOvA, and we show how it can be used to provide a simple understanding of when and why fake solutions are excluded when two or more experiments are combined. This identity demonstrates the true complementarity of T2K and NOvA.

Citations

• Tests of three-flavor mixing in long-baseline neutrino oscillation experiments

Cited by

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• Optimized two-baseline β-beam experiment
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• Diagnostic potential of cosmic-neutrino absorption spectroscopy
• Another possible way to determine the neutrino mass hierarchy
• Super-NOνA: A long-baseline neutrino experiment with two off-axis detectors