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Heavy sterile neutrinos with masses ${\mathcal O}(100)$ MeV mixing withactive neutrinos can be produced in the core of a collapsing supernova (SN). Inorder to avoid an excessive energy loss, shortening the observed duration ofthe SN 1987A neutrino burst, we show that the active-sterile neutrino mixingangle should satisfy $\sin^2 \theta \lesssim 5 \times 10^{-7}$. For a mixingwith tau flavour, this bound is much stronger than the ones from laboratorysearches. Moreover, we show that in the viable parameter space the decay ofsuch "heavy" sterile neutrinos in the SN envelope would lead to a veryenergetic flux of daughter active neutrinos; if not too far below currentlimits, this would be detectable in large underground neutrino observatories,like Super-Kamiokande, as a (slightly time-delayed) high-energy bump in thespectrum of a forthcoming Galactic SN event.

Heavy sterile neutrino emission in core-collapse supernovae: Constraints and signatures