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Title page for ETD etd-10272014-065055

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
  • oscillation parameters
  • neutrino oscillations
  • hierarchy
Date of Defense 2014-09-23
Availability unrestricted
We conducted an updated global analysis of neutrino oscillation data using alternative

bounds 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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