Type of Document Dissertation Author Cogswell, Bernadette Kafwimbi URN etd-10272014-065055 Title Symmetry, Hierarchy, and an Alternative Paradigm for Analyzing Neutrino Oscillations Degree PhD Department Physics Advisory Committee

Advisor Name Title David J. Ernst Committee Chair M. Shane Hutson Committee Member Paul D. Sheldon Committee Member Sait A. Umar Committee Member Keywords

- oscillation parameters
- neutrino oscillations
- hierarchy
Date of Defense 2014-09-23 Availability unrestricted AbstractWe conducted an updated global analysis of neutrino oscillation data using alternativebounds on the mixing angle theta-13 to determine the best fit mixing angles theta-13 and theta-23, the mass-

squared difference ∆m_32^2, and the preferred neutrino mass hierarchy. Data analyzed included all

the MINOS data, all the T2K data, Daya Bay, RENO, and the constraint from the Super-

Kamiokande atmospheric data for the mixing angle theta-23. Using these alternative bounds

highlights the presence of four solutions in the case of CP-conservation, one for each neutrino

mass hierarchy and sign of theta-13 combination. The global data is sensitive enough to linear in theta-13

effects and symmetry-breaking matter effects in the long baseline accelerator data to distinguish

between these four solutions. We find that the best fit solution is the normal hierarchy, positive

theta-13 solution, which has a 58.6% probability of being the true solution. Using a full, exact, three-

neutrino equation with a constant density matter profile and marginalizing over unwanted

parameters, we find the best fit mixing parameters for this solution to be theta-13 = 0.158 - 0.012 + 0.014 rads,

theta-23 = 0.868 -0.178 +0.039 rads, and ∆m_32^2 = 2.42 -0.08 +0.08 ~ 10^-3 eV^2.

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