The phase evolution of the Universe during its cooling down in 2HDM

Two Higgs Doublet Model at different values of parameters realizes ground state (vacuum) with different properties. The parameters of the Gibbs potential are varied during cooling down of the Universe after Big Bang. At this variation properties of vacuum state can vary. Universe suffers phase transitions. The evolution of phase states and chains of phase transitions can be much more diverse than in Standard Model with the single Higgs doublet. We analyzed phase history of earlier Universe for each set of parameters and find sets of modern parameters, responsible for different chains of thermal phase transitions.