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Neutrino experiments in a Forward Physics Facility at the Large HadronCollider can measure neutrino and antineutrino cross sections for energies upto a few TeV. For neutrino energies below 100 GeV, the inelastic cross sectionevaluations have contributions from weak structure functions at low momentumtransfers and low hadronic final state invariant mass. To evaluate the size ofthese contributions to the neutrino cross section, we use a parametrization ofthe electron-proton structure function, adapted for neutrino scattering,augmented with a correction to account for the partial conservation of theaxial vector current, and normalized to structure functions evaluated atnext-to-leading order in QCD, with target mass corrections and heavy quarkcorrections. We compare our results with other approaches to account for thiskinematic region in neutrino cross section for energies between 10--1000 GeV onisoscalar nucleon and iron targets.

Neutrino Cross Sections: Interface of shallow- and deep-inelastic scattering for collider neutrinos