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We study an effective theory beyond the standard model (SM) where either oftwo additional gauge singlets, a Majorana fermion and a real scalar,constitutes all or some fraction of dark matter. In particular, we focus on themasses of the two singlets in the range of O(10) MeV-O(10) GeV, with a neutrinoportal interaction which plays important roles not only in particle physics butalso in cosmology and astronomy. We point out that the dark matter abundancecan be thermally explained with (co)annihilation, where the dark matter with amass greater than 2 GeV can be tested in future lepton colliders, CEPC, ILC,FCC-ee and CLIC, in the light of the Higgs boson invisible decay. When thegauge singlets are lighter than O(100)MeV, the interaction can affect theneutrino propagation in the universe due to its annihilation with the cosmicbackground neutrino into the gauge singlets. Although can not be the dominantdark matter in this case, the singlets are produced by the invisible decay ofthe Higgs boson at a rate fully within the reach of the future leptoncolliders. In particular, a high energy cutoff of cosmic-ray neutrino, whichmay account for the non-detection of Greisen-Zatsepin-Kuzmin (GZK) neutrinos ornon-observation of Glashow resonance, can be set. Interestingly, given thecutoff and the mass (range) of the WIMP, a neutrino mass can be "measured"kinematically.

Dark Matter, Neutrino mass, Cutoff for Cosmic-Ray Neutrino, and Higgs Boson Invisible Decay from a Neutrino Portal Interaction