  In detecting neutrinos from the Large Hadron Collider, FASER$\nu$ will record
the most energetic laboratory neutrinos ever studied. While charged current
neutrino scattering events can be cleanly identified by an energetic lepton
exiting the interaction vertex, neutral current interactions are more difficult
to detect. We explore the potential of FASER$\nu$ to observe neutrino neutral
current scattering $\nu N \to \nu N$, demonstrating techniques to discriminate
neutrino scattering events from neutral hadron backgrounds as well as to
estimate the incoming neutrino energy given the deep inelastic scattering final
state. We find that deep neural networks trained on kinematic observables allow
for the measurement of the neutral current scattering cross section over
neutrino energies from 100 GeV to several TeV. Such a measurement can be
interpreted as a probe of neutrino non-standard interactions that is
complementary to limits from other tests such as oscillations and coherent
neutrino-nucleus scattering.
