With no evidence of new physics at LHC one resorts to minimalistic approach when extending the Standard Model of particle physics to explain neutrino oscillations, baryon asymmetry of the Universe, dark matter phenomenon and early time inflation. In the latter case one can instead modify gravity by introducing nonlinear in scalar curvature term, that is R^2-inflation suggested by Starobinsky. Here gravity takes care of both exponential expansion and subsequent reheating of the Universe. Natural dark matter is free massive particles. Introducing two sterile neutrinos one can explain neutrino oscillations and baryon asymmetry of the Universe. Thus, a very little new physics is involved, but even that is hidden and we discuss which part of the model can be tested in future experiments.