One of the hottest topics in present-day neutrino physics is provided by the hints of sterile species coming from the short-baseline (SBL) anomalies.
Waiting for a definitive (dis-)confirmation of these indications by future
SBL experiments, other complementary avenues can be explored in the
hunt of such elusive particles. An important opportunity is that offered by the
long-baseline (LBL) experiments which, as I will show, are sensitive to novel
interference effects mediated by the new large squared-mass splitting. This renders the LBL experiments the sole setups sensitive to the new sources of CP-violation involved in the 4-flavor scheme. I will point out that the experiments NOvA and T2K already provide the first indications on one of the new CP-phases. I will also describe how the future LBL experiments will be able to pin down the new CPV sector.