Limits on heavy neutral leptons, $Z^{\mathrm{\prime }}$ bosons and majorons from high-energy supernova neutrinos

Light hypothetical particles with masses up to $\mathcal{O}(100)\mathrm{M}\mathrm{e}\mathrm{V}$ can be produced in the core of supernovae. Their subsequent decays to neutrinos can produce a flux component with higher energies than the standard flux. We study the impact of heavy neutral leptons, $Z^{\mathrm{\prime }}$ bosons, in particular ${\mathrm{U}(1)}_{L_{\mu }-L_{\tau }}$ and ${\mathrm{U}(1)}_{B-L}$ gauge bosons, and majorons coupled to neutrinos flavor-dependently. We obtain new strong limits on these particles from no events of high-energy SN 1987A neutrinos and their future sensitivities from observations of galactic supernova neutrinos.