Lepton Flavor Model from Delta(54) Symmetry

TL;DR

This paper develops a lepton flavor model based on the Delta(54) symmetry, predicting neutrino mixing angles and their deviations from tri-bimaximal mixing, consistent with experimental data.

Contribution

It introduces a novel lepton flavor model using Delta(54) symmetry, connecting string theory origins with neutrino mixing predictions.

Findings

Reproduces tri-bimaximal mixing near degenerate or massless neutrinos.

Predicts an upper bound of 0.01 for sin^2θ13.

Shows a strong correlation between θ23 and θ13.

Abstract

We present the lepton flavor model with $\Delta (54)$, which appears typically in heterotic string models on the $T^2/Z_3$ orbifold. Our model reproduces the tri-bimaximal mixing in the parameter region around degenerate neutrino masses or two massless neutrinos. We predict the deviation from the tri-bimaximal mixing by putting the experimental data of neutrino masses in the normal hierarchy of neutrino masses. The upper bound of $\sin^2\theta_{13}$ is 0.01. There is the strong correlation between $\theta_{23}$ and $\theta_{13}$. Unless $\theta_{23}$ is deviated from the maximal mixing considerably, $\theta_{13}$ remains to be tiny.