Both ATLAS and CMS have seen a number of these predicted patterns often enough to pique interest, but not (yet) often enough to constitute proof that they came from Higgses, rather than being random fluctuations in the background of non-Higgs decays.

ECONOMIST: The Higgs boson

The early universe is also thought to have produced a background of gravitational waves from quantum fluctuations.

ECONOMIST: Fundamental physics

At the risk of oversimplifying, this is the lack of noticeably non-random fluctuations in the cosmic microwave background spectrum measured by Planck.

FORBES: Cosmic Inflation Model Gets A Boost From Planck Data