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We present a state-of-the-art prediction for cross sections of neutrinodeeply inelastic scattering (DIS) from nucleon at high neutrino energies,$E_\nu$, from 100 GeV to 1000 EeV ($10^{12}$ GeV). Our calculations are basedon the latest CT18 NNLO parton distribution functions (PDFs) and theirassociated uncertainties. In order to make predictions for the highestenergies, we extrapolate the PDFs to small $x$ according to several proceduresand assumptions, thus affecting the uncertainties at ultra-high $E_\nu$; wequantify the uncertainties corresponding to these choices. Similarly, wequantify the uncertainties introduced by the nuclear corrections which arerequired to evaluate neutrino-nuclear cross sections for neutrino telescopes.These results can be applied to currently-running astrophysical neutrinoobservatories, such as IceCube, as well as various future experiments whichhave been proposed.

High-energy neutrino deeply inelastic scattering cross sections from 100 GeV to 1000 EeV