Neutrino oscillations from warped flavor symmetry: predictions for long baseline experiments T2K, NOvA and DUNE

Abstract

Here we study the pattern of neutrino oscillations emerging from a previously proposed warped model construction incorporating $\Delta (27)$ flavor symmetry. In addition to a complete description of fermion masses, the model predicts the lepton mixing matrix in terms of two parameters. The good measurement of ${\theta }_{13}$ makes these two parameters nearly proportional, leading to an approximate one-parameter description of neutrino oscillations. There is a sharp fourfold degenerate correlation between ${\delta }_{CP}$ and the atmospheric mixing angle ${\theta }_{23}$, so that maximal ${\theta }_{23}$ also implies maximal leptonic CP violation. The predicted electron neutrino and anti-neutrino appearance probabilities indicate that the model should be tested at the T2K, NO$\nu$A and DUNE long baseline oscillation experiments.

Comments: 12 pages, 15 figures, 1 table, latex