Constraining sterile neutrinos by core-collapse supernovae with multiple
  detectors
  The eV-scale sterile neutrino has been proposed to explain some anomalous
results in experiments, \textit{such as} the deficit of reactor neutrino fluxes
and the excess of $\bar{\nu}_\mu\to\bar{\nu}_e$ in LSND. This hypothesis can be
tested by future core-collapse supernova neutrino detection independently since
the active-sterile mixing scheme affects the flavor conversion of neutrinos
inside the supernova. In this work, we compute the predicted supernova neutrino
events in future detectors -- DUNE, Hyper-K, and JUNO -- for neutrinos emitted
during the neutronization burst phase when the luminosity of $\nu_e$ dominates
the other flavors. We find that for a supernova occurring within 10 kpc, the
difference in the event numbers with and without sterile neutrinos allows to
exclude the sterile neutrino hypothesis at more than $99\%$ confidence level
robustly. The derived constraints on sterile neutrinos mixing parameters are
comparably better than the results from cosmology and on-going or proposed
reactor experiments by more than two orders of magnitude in the
$\sin^22\theta_{14}$-$\Delta m_{41}^2$ plane.
