Brief description of the flavor-changing neutral scalar interactions at two-loop level

In this letter we show a general description about flavor-changing neutral currents (FCNC) mediated by scalars. The analysis is extended at two-loop level for the Two-Higgs Doublet Model type-III because others models have strong constraints on its parameters, even at high orders of the perturbation. For this letter we focus on the standard model, calculating the amplitude for the $h\to \gamma \gamma$ process and discussing the results briefly.