Predictions via large theta13 from cascades

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.