Predictions via large theta13 from cascades

Understand

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.