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Future measurements of primordial non-Gaussianity can reveal cosmologicallyproduced particles with masses of order the inflationary Hubble scale and theirinteractions with the inflaton, giving us crucial insights into the structureof fundamental physics at extremely high energies. We study gauge-Higgstheories that may be accessible in this regime, carefully imposing theconstraints of gauge symmetry and its (partial) Higgsing. We distinguish twotypes of Higgs mechanisms: (i) a standard one in which the Higgs scale isconstant before and after inflation, where the particles observable innon-Gaussianities are far heavier than can be accessed by laboratoryexperiments, perhaps associated with gauge unification, and (ii) a"heavy-lifting" mechanism in which couplings to curvature can result in Higgsscales of order the Hubble scale during inflation while reducing to far lowerscales in the current era, where they may now be accessible to collider andother laboratory experiments. In the heavy-lifting option,renormalization-group running of terrestrial measurements yield predictions forcosmological non-Gaussianities. If the heavy-lifted gauge theory suffers ahierarchy problem, such as does the Standard Model, confirming such predictionswould demonstrate a striking violation of the Naturalness Principle. Whileobserving gauge-Higgs sectors in non-Gaussianities will be challenging giventhe constraints of cosmic variance, we show that it may be possible withreasonable precision given favorable couplings to the inflationary dynamics.

Heavy-Lifting of Gauge Theories By Cosmic Inflation