Interactions at lower energies are very well predicted by the Standard Model, so deviations are either so small they're hard to find (but see the muon g-2 exper

Interactions at lower energies are very well predicted by the Standard Model, so deviations are either so small they're hard to find (but see the muon g-2 experiments), or at energies higher than what we've probed. This isn't like the discovery of quantum mechanics where we knew there were things in the "everyday" regime we couldn't predict (e.g. blackbody spectra), more like general relativity where we have an otherwise extremely successful theory that breaks down in an extremal regime. Except we don't even have an example like the precession of Mercury's orbit to point at and say, "this is where it breaks down". "We haven't found it at low energies yet" understates how much they've looked and how much hasn't been found.