T(13) Flavor Symmetry and Decaying Dark Matter

TL;DR

This paper introduces a T(13) flavor symmetry model that explains lepton masses, mixings, and cosmic-ray anomalies via decaying dark matter constrained by the symmetry.

Contribution

It presents the first application of T(13) symmetry to lepton flavor and decaying dark matter, deriving decay operators and explaining cosmic-ray anomalies.

Findings

T(13) symmetry constrains lepton mass matrices.

Decaying dark matter decay operators are limited to leptonic dimension six operators.

The model explains PAMELA and Fermi-LAT cosmic-ray anomalies.

Abstract

We study a new flavor symmetric model with non-Abelian discrete symmetry T_{13}. The T_{13} group is isomorphic to Z_{13} \rtimes Z_3, and it is the minimal group having two complex triplets as the irreducible representations. We show that the T_{13} symmetry can derive lepton masses and mixings consistently. Moreover, if we assume a gauge-singlet fermionic decaying dark matter, its decay operators are also constrained by the T_{13} symmetry so that only dimension six operators of leptonic decay are allowed. We find that the cosmic-ray anomalies reported by PAMELA and Fermi-LAT are explained by decaying dark matter controlled by the T_{13} flavor symmetry.