These things are really special interest. They developed small scale particle detectors, that are nowadays used in medical physics for example (PET scanners and so on). Then their electronics need to be very insensitive to radiation damage, that is also important for everything space related. There is probably some R&D on superconducting magnets as well, that can be adapted to other purposes, but I am not too up to date in this field and I am not sure, if Cern is a major player there.
There are multiple reasons for that. We don’t know the decay channels of already discovered particles precisely. So there might be very rare processes, that contribute to already known particles. It is all a statistical process. While you can give statements on a large number of events, it is nearly impossible to do it for one event. Most of the particles are very short-lived and won’t be visible themselves in a detector (especially neutral particles). Some will not interact with anything at all (neutrinos). Then your detectors are not 100% efficient, so you can’t detect all the energy, that was released in the interaction or the decay of a particle. The calorimeters, that are designed to completely stop any hadrons (particles consisting of quarks) have a layer of a very dense material, to force interactions, followed by a detector material. All the energy lost in the dense material is lost for the analysis. In the end you still know, how much energy was not detected, because you know the initial energy, but everything else gets calculated by models, that are based on known physics. A neutral weakly interacting particle would just be attributed as a neutrino.