The discovery of the Higgs Boson was a triumph for the Standard Model, which predicted how the particle should be formed, behave, and decay within the collision debris of the Large Hadron Collider. In fact, the Standard Model has accurately predicted everything we've looked at so far.
And that's a bit frustrating for physicists, since we know the Standard Model is incomplete. It doesn't have any particles that could account for the dark matter we detect. It doesn't contain an explanation for why the Universe is dominated by matter instead of antimatter. And it provides no mechanism that could give neutrinos mass.
Finding a new particle that was not predicted by the Standard Model would be an obvious indication that we're ready to move beyond it. But we don't necessarily need to find a new particle to break the Standard Model; as noted above, it also dictates how particles behave and decay. So finding strange decays could also do the trick.
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