T13 flavor symmetry and decaying dark matter

We study a new flavor symmetric model with non-Abelian discrete symmetry T-13. The T-13 group is isomorphic to Z(13) x Z(3). and it is the minimal group having two complex triplets in 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 cosmicray anomalies reported by PAMELA and Fermi-LAT are well explained by decaying dark matter controlled by the T-13 flavor symmetry. (C) 2011 Elsevier B.V. All rights reserved.