  Modern neutrino detectors, particularly the large liquid argon time
projection chambers (LAr TPCs) at SBN and DUNE, provide an unprecedented amount
of information about GeV-scale interactions. By taking advantage of the
excellent spatial and calorimetric resolution as well as the low tracking
thresholds provided by LAr TPCs, we present a novel method of estimating the
neutrino energy in neutral current interactions. This method has potential
implications for the search for a sterile neutrino; it allows for the potential
observation of spectral distortions due to sterile neutrino-induced
oscillations in the neutral current neutrino energy spectrum. As an example, we
use this method to perform an analysis of the statistics-only sensitivity to
sterile neutrinos in the neutral current channel at SBN under a 3+1 model.
