  Several anomalies observed in short-baseline neutrino experiments indicate
that the standard 3-flavor framework may be incomplete and point towards the
existence of light sterile neutrinos. Here, we present a concise review of the
status of the neutrino oscillations within the 3+1 scheme, which is a minimal
extension of the standard 3-flavor framework with one sterile neutrino species.
We emphasize the potential role of LBL experiments in the searches of CP
violation connected to sterile neutrinos and their complementarity with the SBL
experiments.
