  We consider the possibility that Dirac neutrino masses may be a manifestation
of chiral symmetry breaking via non-perturbative QCD dynamics. The key role
played by light quarks in this mechanism can naturally lead to signals that are
accessible to hadron colliders. Bounds from charged meson decays imply a
dominant effect from the strange quark condensate. We propose a model for Dirac
neutrino mass generation with an extra Higgs doublet at the TeV scale and
significant coupling to strange quarks and leptons. Current data on $D-\bar D$
mixing constrain the allowed parameter space of the model, and a 100 TeV $pp$
collider would either discover or largely exclude it. A distinct feature of
this scenario is that measurements of the of charged Higgs leptonic branching
ratios can distinguish between "normal" and "inverted" neutrino mass
hierarchies, complementing future determinations at neutrino oscillation
experiments.
