Abstract
We discuss theoretical and phenomenological aspects of the two-Higgs-doublet extensions of the Standard model. In modern notation the h2HDM is the model with mh = 125.26 GeV, where the lightest neutral scalar particle in 2HDM is the usual Higgs boson in Standard Model.
 The parametric space of this model is very rich and admits many scenarios of New Physics’ phenomenology.The many restrictions and conditions should be satisfied. One of them is the Sakharov’s conditions for the formation of the baryon asymmetry of the Universe in models with extra scalar fields. We try to show that we can satisfy them in the h2HDM and find the region of parametric space where the electroweak phase transition is first order. The Sakharov’s conditions are not satisfied in Standard Model but it is fundamental problem of modeling the Universe, so the searching of New physics this way is relevant.
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