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Advances in High Energy Physics
Volume 2014, Article ID 469572, 10 pages
Research Article

Residual Symmetries Applied to Neutrino Oscillations at NOA and T2K

1Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA
2Department of Physics and Center for Particles and Fields, University of Texas, Austin, TX 78712, USA

Received 3 April 2014; Accepted 24 July 2014; Published 24 August 2014

Academic Editor: Hiro Ejiri

Copyright © 2014 Andrew D. Hanlon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The results previously obtained from the model-independent application of a generalized hidden horizontal symmetry to the neutrino mass matrix are updated using the latest global fits for the neutrino oscillation parameters. The resulting prediction for the Dirac phase is in agreement with recent results from T2K. The distribution for the Jarlskog invariant has become sharper and appears to be approaching a particular region. The approximate effects of matter on long-baseline neutrino experiments are explored, and it is shown how the weak interactions between the neutrinos and the particles that make up the Earth can help to determine the mass hierarchy. A similar strategy is employed to show how NOA and T2K could determine the octant of . Finally, the exact effects of matter are obtained numerically in order to make comparisons with the form of the approximate solutions. From this analysis there emerge some interesting features of the effective mass eigenvalues.