Relatively Large Theta13 from Modification to the Tri-bimaximal, Bimaximal and Democratic Neutrino Mixing Matrices

TL;DR

This paper systematically studies modifications to popular neutrino mixing matrices to explain the relatively large theta_{13} angle indicated by recent experiments, analyzing correlations and phenomenological predictions.

Contribution

It introduces and evaluates specific modifications to tri-bimaximal, bimaximal, and democratic neutrino mixing matrices to accommodate recent experimental data on theta_{13}.

Findings

Certain minimal modifications are excluded by data.

Remaining scenarios predict mixing angles within 3 Sigma confidence level.

Correlations between theta_{13} and other mixing angles are established.

Abstract

Inspired by the recent T2K indication of a relatively large theta_{13}, we provide a systematic study of some general modifications to three mostly discussed neutrino mixing patterns, i.e., tri-bimaximal, bimaximal and democratic mixing matrices. The correlation between theta_{13} and two large mixing angles are provided according to each modifications. The phenomenological predictions of theta_{12} and theta_{23} are also discussed. After the exclusion of several minimal modifications, we still have reasonable predictions of three mixing angles in 3 Sigma level for other scenarios.