CP Violation from Flavor Symmetry in a Lepton Quarticity Dark Matter Model

TL;DR

This paper introduces a flavor symmetry-based model predicting Dirac neutrinos, linking CP violation to flavor breaking and proposing a stable dark matter candidate arising from the same symmetry structure.

Contribution

It presents a novel $ ext{Delta}(27) imes Z_4$ model connecting neutrino Dirac nature, CP violation, and dark matter stability within a unified framework.

Findings

Neutrinos are predicted to be Dirac fermions.

The model links leptonic CP violation to flavor symmetry breaking.

A stable WIMP dark matter candidate naturally emerges.

Abstract

We propose a simple $\Delta (27) \otimes Z_4$ model where neutrinos are predicted to be Dirac fermions. The smallness of their masses follows from a type-I seesaw mechanism and the leptonic CP violating phase correlates with the pattern of $\Delta (27)$ flavor symmetry breaking. The scheme naturally harbors a WIMP dark matter candidate associated to the Dirac nature of neutrinos, in that the same $Z_4$ lepton number symmetry also ensures dark matter stability.