Abstract
We study a new flavor symmetric model with non-Abelian discrete symmetry T 13 . The T 13 group is isomorphic to Z 13 ⋊ 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 cosmic-ray anomalies reported by PAMELA and Fermi-LAT are well explained by decaying dark matter controlled by the T 13 flavor symmetry.
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