  Recently hints of lepton flavor non-universality emerged in the BaBar and
LHCb experiments. In this paper we propose tests of lepton universality in
$\nu_{\tau}$ scattering. To parametrize the new physics we adopt an effective
Lagrangian approach and consider the neutrino deep inelastic scattering
processes $\nu_{\tau}+ N \to \tau + X$ and $\nu_{\mu}+ N \to \mu + X$ where we
assume the largest new physics effects are in the $\tau$ sector. We also
consider an explicit leptoquark model in our calculations. In order to make
comparison with the standard model and also in order to cancel out the
uncertainties of the parton distribution functions, we consider the ratio of
total and differential cross sections of tau-neutrino to muon-neutrino
scattering. We find new physics effects that can possibly be observed at the
proposed Search for Hidden Particles (SHiP) experiment at CERN.
