D4 Flavor Symmetry for Neutrino Masses and Mixing

TL;DR

This paper introduces a $D_4 imes Z_2$ flavor symmetry model for neutrino masses and mixing, which avoids FCNC at tree level and aligns with experimental data, offering insights into tri-bimaximal mixing and potential string theory realization.

Contribution

It proposes a novel $D_4 imes Z_2$ flavor symmetry model that differs from previous work and discusses its phenomenological implications and possible string theory embedding.

Findings

Model reduces to the Standard Model at low energies.

No flavor-changing neutral currents at tree level.

Conditions for tri-bimaximal mixing are established.

Abstract

We present the $D_4\times Z_2$ flavor symmetry, which is different from the previous work by Grimus and Lavoura. Our model reduces to the standard model in the low energy and there is no FCNC at the tree level. Putting the experimental data, parameters are fixed, and then the implication of our model is discussed. The condition to realize the tri-bimaximal mixing is presented. The possibility for stringy realization of our model is also discussed.