Sorry to be unaware, but what were/are they hoping or expecting to discover with these experiments, that is other than find new subatomic particles. I mean, they did find a whole set of subatomic particles and their respective spins, so no reason why they couldn't find something more. I know it's all for recreating the scene of the big bang or whatever theory that they hope to prove or disprove or figure out a new one.

I do know of the Standard Model and Beyond the Standard Model types but it really seems to boil down to discovering new theories perhaps. That could also be uncertain as a new model could ally with QM or not, again I don't know if the current Standard Model allies well with QM. I think it doesn't again ally well with GR which is the same problem with QM and GR. It's funny though how they all behave.

They predicted and found the Higgs, but things like more particles that helped explain why the mass of the Higgs isn't what it should be, hoped to find things like super symmetry, extra dimensions, strings, new combinations of old particles, but it literally found nothing. (Im not an expert but am paraphrasing talks Ive hear from Sean Carrol). All it found was the Higgs and nothing else, and I think that is more than puzzling for physicists. The good thing is particle and quantum physicists like puzzles.