Constraints on sterile neutrinos come from an amazingly wide range of different sources. From astrophysical observations (review1, review2) to particle physics experiments (MiniBooNE, Daya Bay, LSND, MINOS)
I have been reading about the astrophysical observations (e.g. XMM-Newton), but they rarely go much into detail about the constraints and searches for sterile neutrinos via experiments.
Having little experience in particle physics, I would truly appreciate it if someone could document here, in a sentence or two, what each experiment attempts to constrain, and how.