Prediction of Neutrino Mixing based on $C_2\times D_3$

TL;DR

This paper predicts the lepton mixing angles using a finite flavor symmetry group, successfully explaining observed values and the smallness of certain angles through group-theoretic relations.

Contribution

It introduces a novel flavor symmetry model based on $C_2\times D_3$ that predicts all PMNS mixing angles from a single parameter.

Findings

All three mixing angles are expressed in terms of one parameter.

The model fits observed mixing angles extremely well.

The small $ heta_{13}$ angle is explained by the muon-tau mass ratio.

Abstract

The lepton mixing angles of the PMNS matrix are predicted based on the lepton flavor symmetry of a finite group $C_2\times D_3$, where the cyclic group $C_2$ acts on the charged lepton mass terms and the dihedral group $D_3$ on the neutrino ones. All three mixing angles of the PMNS matrix are given in terms of just one parameter, the charged lepton mixing angle, and fit extremely well to the observed values. In particular, the smallness of $\theta_{13}$ is explained in terms of the smallness of the muon-to-tau mass ratio.