  In a recent study, Cohen and Glashow argue that superluminal neutrinos of the
type recently reported by OPERA should be affected by anomalous Cherenkov-like
processes. This causes them to loose much of their energy before reaching the
OPERA detectors. Related concerns were reported also by Gonzalez-Mestres and Bi
et. al., who argued that pions cannot decay to superluminal neutrinos over part
of the energy range studied by OPERA. We observe here that these arguments are
set within a framework in which Lorentz symmetry is broken, by the presence of
a preferred frame. We further show that these anomalous processes are forbidden
if Lorentz symmetry is instead "deformed", preserving the relativity of
inertial frames. These deformations add non-linear terms to energy momentum
relations, conservation laws and Lorentz transformations in a way that is
consistent with the relativity of inertial observers.
