Predictions via large theta13 from cascades

TL;DR

This paper explores a specific neutrino mass matrix texture called cascade, predicting sharp correlations among neutrino mixing angles and a large theta13, consistent with current experimental data.

Contribution

It introduces a cascade texture for the neutrino mass matrix and derives predicted correlations among neutrino mixing angles based on current oscillation data.

Findings

Predicted narrow ranges for sin^2θ12 and sin^2θ23 with large sin^22θ13

Sharp correlations among neutrino mixing angles

Modified predictions when charged lepton mass matrix also has cascade form

Abstract

We investigate a relation among neutrino observables, three mixing angles and two mass squared differences, from a cascade texture of neutrino mass matrix. We show an allowed region of the correlation by use of current data of neutrino oscillation experiments. The relation predicts sharp correlations among neutrino mixing angles as $0.315\lesssim\sin^2\theta_{12}\lesssim0.332$ and $0.480\lesssim\sin^2\theta_{23}\lesssim0.500$ with a large $\theta_{13}$ ($0.03<\sin^22\theta_{13}<0.28$). These magnitudes are modified $0.310\lesssim\sin^2\theta_{12}\lesssim0.330$ and $0.540\lesssim\sin^2\theta_{23}\lesssim0.560$ when the charged lepton mass matrix also has the cascade form.