Special Mixing of the Neutral Higgs Bosons States in the Standard Model with Two Higgs Doublets

The Higgs sector of the Standard Model (SM) requires careful investigation in order to look for new physics. In the SM the masses of the physical particles arise, after the spontaneous symmetry breaking (SSB), through its couplings with a single Higgs doublet. In the simplest extension of the SM, called the Two Higgs Doublet Model (2HDM), a second Higgs doublet is introduced, with a potential dependent on seven parameters, which are related to five Higgs bosons, whose existence is predicted by the model. In this context, we obtain the masses and the physical eigenstates of the new scalar particles: two charged ones (H+/-) and three neutral (A0), (h0,H0). We explore a particular situation in which very simple relations between the parameters and the masses are satisfied.