A Model for Large theta13 Constructed using the Eigenvectors of the S4 Rotation Matrices

Abstract

A procedure for using the eigenvectors of the elements of the representations of a discrete group in model building is introduced and is used to construct a model that produces a large reactor mixing angle, sin^2(theta13)=2/3 sin^2(pi/16), in agreement with recent neutrino oscillation observations. The model fully constrains the neutrino mass ratios and predicts normal hierarchy with the light neutrino mass, m1~25 meV. Motivated by the model, a new mixing ansatz is postulated which predicts all the mixing angles within 1sigma errors.

6 pages, 1 figure, contribution to the proceedings of DISCRETE 2012 to appear in the open access Journal of Physics: Conference Series (JPCS), preprint typeset in two-column revtex4 style

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• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Neutrino Mixing from $\Delta (6n^2)$ Groups
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$