Flavino Dark Matter in a Non-Abelian Discrete Flavor Model

We study a relic density of the flavino dark matter in modified Altarelli and Feruglio $A_4$ model which is respecting the $SU(2{)}_L\times A_4\times Z_3\times U(1{)}_R$ symmetry. We calculate the Lagrangian from the superpotential in the model. In estimating relic density, we consider the relevant interactions from the Lagrangian that realize the vacuum expectation value alignments and charged lepton masses where we assume that the supersymmetry breaking effects are small for flavon sector. As a result, we find the degenerate masses between the lightest flavon'' and flavino’', and only two parameters in the potential determines the relic density. Then allowed parameter space of these parameters are estimated from relic density calculation taking a constraint from lepton flavor violation into account. We also briefly discuss other dark matter physics such as direct detection, indirect detection and collider search.