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Resolvingθ23degeneracy by accelerator and reactor neutrino oscillation experiments

2006/01/31 by K. Hiraide, Katsuki Hiraide, Hisakazu Minakata +9 · 48 citations
Mathematics · Physics and Astronomy · #Algorithm #Astrophysics and Cosmic Phenomena #CP violation #Degeneracy (biology) #Degenerate energy levels #Lepton #Mathematics #Neutrino Physics Research #Nuclear physics #Octant (instrument) #Optics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.73.093008

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 73(9) (American Physical Society) · 23 pages, 9 figures, version to appear in PRD

arxiv created 2006/05/25 · openalex publication_date 2006/05/31 · arxiv updated 2011/09/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

If the lepton mixing angle \ensuremathθ23 is not maximal, there arises a problem of ambiguity in determining \ensuremathθ23 due to the existence of two degenerate solutions, one in the first and the other in the second octant. We discuss an experimental strategy for resolving the \ensuremathθ23 octant degeneracy by combining reactor measurement of \ensuremathθ13 with accelerator \ensuremathν_\ensuremathμ disappearance and \ensuremathνe appearance experiments. The robustness of the \ensuremathθ23 degeneracy and the difficulty in lifting it only by accelerator experiments with conventional \ensuremathν_\ensuremathμ (and \ensuremathν_\ensuremathμ) beams are demonstrated by analytical and numerical treatments. Our method offers a way to overcome the difficulty and can resolve the degeneracy between solutions sin2\ensuremathθ23=0.4 and sin2\ensuremathθ23=0.6 if sin22\ensuremathθ13\ensuremath\gtrsim0.05 at 95% CL by assuming the T2K phase II experiment and a reactor measurement with an exposure of 10 GW\ifmmode⋅\else\textperiodcentered\fikt\ifmmode⋅\else\textperiodcentered\fiyr. The dependence of the resolving power of the octant degeneracy on the systematic errors of reactor experiments is also examined.

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