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Recently the AMS-02 experiment has released the data of positron fractionwith much small statistical error. Because of the small error, it is no longereasy to fit the data with a single dark matter for a fixed diffusion model anddark matter profile. In this paper, we propose a new interpretation of the datathat it originates from decay of two dark matter. This interpretation gives arough threshold of the lighter DM component. When DM decays into leptons, thepositron fraction in the cosmic ray depends on the flavor of the final states,and this is fixed by imposing non-Abelian discrete symmetry in our model. Byassuming two gauge-singlet fermionic decaying DM particles, we show that amodel with non-Abelian discrete flavor symmetry, e.g. $T_{13}$, can give a muchbetter fitting to the AMS-02 data compared with single dark matter scenario.Few dimension six operators of universal leptonic decay of DM particles areallowed in our model since its decay operators are constrained by the $T_{13}$symmetry. We also show that the lepton masses and mixings are consistent withcurrent experimental data, due to the flavor symmetry.

New Interpretation of the Recent Result of AMS-02 and Multi-component Decaying Dark Matters with non-Abelian Discrete Flavor Symmetry