It's commonly believed that the standard model doesn't predict any phenomena at the energies that could be reached by a future collider, but that might not be the case. This phenomenon

https://en.wikipedia.org/wiki/Sphaleron

probably has a threshold energy of 9 TeV or so but hasn't turned up at the LHC because it is hard to produce and could be hard to detect. For one thing you need three baryons to interact and just having two colliding head on isn't enough, but a very high energy collision might produce enough of them that it happens. Sphalerons are part of the answer for why we have matter but not antimatter in the universe and could be the Higgs particle of the next generation.