To guarantee new physics, you'd need a 10^16 TeV collider, so literally one-thousand-trillion times more powerful than the LHC which is at 14 TeV! Context: at

To guarantee new physics, you'd need a 10^16 TeV collider, so literally one-thousand-trillion times more powerful than the LHC which is at 14 TeV! Context: at 10^16 TeV you start probing the planck energy scale, where gravity becomes strong enough to influence particle interactions. In nature, these energies are reached only inside black holes and just after the big bang. The standard model does not describe gravity, so it has no predictive power at this scale, which is why the above phenomena are a complete mystery to us. The standard model gets away with this at LHC energy scale because gravity is so weak it can literally be neglected in the calculations. It's of course possible we'd see some new physics before then, but it's not guaranteed, building a collider 10 times would be a bit of a stab in the dark.