  Neutrino physics is currently suffering from lack of knowledge from at least
four major ingredients. One of them is the presence or not of new sterile
neutrino states at the mass scale of around 1 eV. Settling this point should be
the highest priority for the neutrino community. We will discuss the
state-of-the art of experimental searches for sterile neutrinos with
accelerators, both at long and short baselines.
