Consider the following:
For all terrestrial phenomena that we have observe so far we have a theory of everything.
In order to put matter into a state where it behaves in such a way that you can tell the difference between two competing theories that describe the world, you have to build the LHC. Anything less than that and the theories all are perfectly good at describing what we see.
I think there is a tendency to misunderstand LHC and it's high energies as somehow being "brute force". High energy really just means small structures. It's better to think of it as the worlds best microscope. LIGO is the worlds best ruler. So we're measuring the world and it's matter to an unfathomable precision and we do not see meaningful divergence between theory and experiment.
We know there is more out there, but it's not stuff we can study on earth. That's the single biggest problem.