  We show that neutral current (NC) measurements at neutrino detectors can play
a valuable role in the search for new physics. Such measurements have certain
intrinsic features and advantages that can fruitfully be combined with the
usual well-studied charged lepton detection channels in order to probe the
presence of new interactions or new light states. In addition to the fact that
NC events are immune to uncertainties in standard model neutrino mixing and
mass parameters, they can have small matter effects and superior rates since
all three flavours participate. We also show, as a general feature, that NC
measurements provide access to different combinations of CP phases and mixing
parameters compared to CC measurements at both long and short baseline
experiments. Using the Deep Underground Neutrino Experiment (DUNE) as an
illustrative setting, we demonstrate the capability of NC measurements to break
degeneracies arising in CC measurements, allowing us, in principle, to
distinguish between new physics that violates three flavour unitarity and that
which does not. Finally, we show that NC measurements can enable us to restrict
new physics parameters that are not easily constrained by CC measurements.
