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We study experimental and cosmological constraints on the extension of theStandard Model by three right handed neutrinos with masses between those of thepion and W boson. We combine for the first time direct, indirect andcosmological constraints in this mass range. This includes experimentalconstraints from neutrino oscillation data, neutrinoless double $\beta$ decay,electroweak precision data, lepton universality, searches for rare leptondecays, tests of CKM unitarity and past direct searches at colliders or fixedtarget experiments. On the cosmological side, big bang nucleosynthesis has themost pronounced impact. Our results can be used to evaluate the discoverypotential of searches for heavy neutrinos at LHCb, BELLE II, SHiP, ATLAS, CMSor a future lepton collider.

Combining Experimental and Cosmological Constraints on Heavy Neutrinos