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Abstract

Novel neutrino self-interaction can open up viable parameter space for the
relic abundance of sterile-neutrino dark matter (S$\nu$DM). In this work, we
constrain the relic target using core-collapse supernova which features the
same fundamental process and a similar environment to the early universe era
when S$\nu$DM is dominantly produced. We present a detailed calculation of the
effects of a massive scalar mediated neutrino self-interaction on the supernova
cooling rate, including the derivation of the thermal potential in the presence
of non-zero chemical potentials from plasma species. Our results demonstrate
that the supernova cooling argument can cover the neutrino self-interaction
parameter space that complements terrestrial and cosmological probes.