Two Higgs Doublet Model, Standard Model-like Scenario and Distinguishing SM from 2HDM at Photon Colliders

1. When discuss 2HDM and Higgs potential, we find the parameters range giving naturally weak effects of CP violation and Flavor Changing Neutral Currents. With this approach, the widely discussed decoupling limit with heavy $H^\pm$, $H$ and $A$ correspond the unnatural set of 2HDM parameters. 2. We define the SM--like scenario as that in which after LHC and \epe LC operations no visible deviations from the minimal SM will be recognized. We find all parameter ranges of 2HDM compatible with this scenario. 3. We show that the study of Higgs boson production at Photon Colliders (processes $\gamma \gamma \to h$ and e \gamma eh$) can distinguish minimal SM from 2HDM with natural set of parameters