Residual Symmetries Applied to Neutrino Oscillations at NO $\nu $ A and T2K
Abstract
The results previously obtained from the modelindependent application of a generalized hidden horizontal ${\mathbb{Z}}_{2}$ symmetry to the neutrino mass matrix are updated using the latest global fits for the neutrino oscillation parameters. The resulting prediction for the Dirac $\mathrm{CP}$ phase ${\delta}_{D}$ is in agreement with recent results from T2K. The distribution for the Jarlskog invariant ${J}_{\nu}$ has become sharper and appears to be approaching a particular region. The approximate effects of matter on longbaseline 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 NO $\nu $ A and T2K could determine the octant of ${\theta}_{a}(\equiv {\theta}_{23})$ . 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.
 Authors:

 Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA
 Department of Physics and Center for Particles and Fields, University of Texas, Austin, TX 78712, USA
 Publication Date:
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1198467
 Grant/Contract Number:
 FG0212ER41830
 Resource Type:
 Published Article
 Journal Name:
 Advances in High Energy Physics
 Additional Journal Information:
 Journal Name: Advances in High Energy Physics Journal Volume: 2014; Journal ID: ISSN 16877357
 Publisher:
 Hindawi Publishing Corporation
 Country of Publication:
 Egypt
 Language:
 English
Citation Formats
Hanlon, Andrew D., Repko, Wayne W., and Dicus, Duane A. Residual Symmetries Applied to Neutrino Oscillations at NO ν A and T2K. Egypt: N. p., 2014.
Web. doi:10.1155/2014/469572.
Hanlon, Andrew D., Repko, Wayne W., & Dicus, Duane A. Residual Symmetries Applied to Neutrino Oscillations at NO ν A and T2K. Egypt. doi:10.1155/2014/469572.
Hanlon, Andrew D., Repko, Wayne W., and Dicus, Duane A. Wed .
"Residual Symmetries Applied to Neutrino Oscillations at NO ν A and T2K". Egypt. doi:10.1155/2014/469572.
@article{osti_1198467,
title = {Residual Symmetries Applied to Neutrino Oscillations at NO ν A and T2K},
author = {Hanlon, Andrew D. and Repko, Wayne W. and Dicus, Duane A.},
abstractNote = {The results previously obtained from the modelindependent application of a generalized hidden horizontal Z 2 symmetry to the neutrino mass matrix are updated using the latest global fits for the neutrino oscillation parameters. The resulting prediction for the Dirac CP phase δ D is in agreement with recent results from T2K. The distribution for the Jarlskog invariant J ν has become sharper and appears to be approaching a particular region. The approximate effects of matter on longbaseline 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 NO ν A and T2K could determine the octant of θ a ( ≡ θ 23 ) . 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.},
doi = {10.1155/2014/469572},
journal = {Advances in High Energy Physics},
number = ,
volume = 2014,
place = {Egypt},
year = {2014},
month = {1}
}
DOI: 10.1155/2014/469572