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We study the cutoff for the cosmic-ray neutrino, set by the scattering withcosmic background neutrinos into dark sector particles through a neutrinoportal interaction. We find that a large interaction rate is still viable, whenthe dark sector particles are mainly coupled to the $\tau-$neutrino, so thatthe neutrino mean free path can be reduced to be $O(10)~$Mpc over a wide energyrange. If stable enough, the dark sector particle, into which most of thecosmic-ray neutrino energy is transferred, can travel across the Universe andreach the earth. The dark sector particle can carry the energy as large as$\O({\rm EeV})$ if originates from a cosmogenic neutrino.

Highly-boosted dark matter and cutoff for cosmic-ray neutrino through neutrino portal