  In this paper we investigate neutrino oscillations with altered dispersion
relations in the presence of sterile neutrinos. Modified dispersion relations
represent an agnostic way to parameterize new physics. Models of this type have
been suggested to explain global neutrino oscillation data, including
deviations from the standard three-neutrino paradigm as observed by a few
experiments. We show that, unfortunately, in this type of models new tensions
arise turning them incompatible with global data.
