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For a sterile neutrino with an eV-scale mass and vacuum mixing angle of order θ0 ' 0.1, our evaluation of big bang nucleosynthesis and cosmic microwave background constraints allow a new gauge sector for sterile neutrino “secret interactions” with a gauge boson mass between a few keV and ∼ 100 keV and sterile gauge boson couplings of order gs ' 10−4− 10−2. Relic sterile neutrinos with ms = 1 eV that interact via gauge bosons with a mass between 5−8 keV and couplings in this range would distort the spectrum of the diffuse supernova neutrino background flux. We explore the potential for the distortion to be measured at DUNE and Hyper-Kamiokande.

Secret interactions of eV-scale sterile neutrinos and the diffuse supernova neutrino background flux