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

TL;DR

This paper presents a warped flavor symmetry model predicting neutrino oscillation patterns, which can be tested in upcoming long baseline experiments like T2K, NOvA, and DUNE, revealing correlations between CP violation and mixing angles.

Contribution

It introduces a warped model with $ ext{Delta}(27)$ flavor symmetry that predicts neutrino oscillation parameters with a nearly one-parameter description and specific correlations.

Findings

Model predicts specific neutrino oscillation probabilities.

Identifies a fourfold degeneracy between $ heta_{23}$ and $ ext{CP}$ phase.

Testable predictions for T2K, NOvA, and DUNE experiments.

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.