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Standard model of particle physics fails to explain neutrino oscillations,dark matter and baryon asymmetry of the Universe. All these problems can besolved with three sterile neutrinos added to the model. Quite remarkably, ifsterile neutrino masses are well below the electroweak scale, this modification--- Neutrino Minimal Standard Model (nuMSM) --- can be tested experimentally.We discuss a new experiment on search for decays of GeV-scale sterileneutrinos, which in the framework of the nuMSM are responsible for thematter-antimatter asymmetry generation and for the active neutrino masses. Iflighter than 2 GeV, these particles can be produced in decays of charm mesonsgenerated by high energy protons in a target of a proton beam-dump experiment,and subsequently decay into light SM particles. In order to fully explore thissector of the nuMSM, the new experiment requires data obtained with at least10^{20} incident protons on target (achievable at CERN SPS in the future), anda big volume detector constructed from a large amount of identical singlemodules, with a total sterile neutrino decay length of few kilometers. Thepreliminary feasibility study for the proposed experiment shows that it hassensitivity which may either lead to the discovery of new particles below theFermi scale --- right-handed partners of neutrinos --- or rule out see-sawsterile neutrinos with masses below 2 GeV.

Search for GeV-scale sterile neutrinos responsible for active neutrino oscillations and baryon asymmetry of the Universe