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

TL;DR

This paper introduces a novel model for neutrino mixing using eigenvectors of S4 group representations, successfully predicting a large theta13 angle and neutrino mass hierarchy consistent with recent observations.

Contribution

It presents a new approach to model building in neutrino physics using eigenvectors of discrete group representations, leading to specific predictions for mixing angles and mass hierarchy.

Findings

Predicts sin^2(theta13)=2/3 sin^2(pi/16)

Fully constrains neutrino mass ratios

Predicts normal hierarchy with m1~25 meV

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.