Abstract

Future measurements of primordial non-Gaussianity can reveal cosmologically produced particles with masses of order the inflationary Hubble scale and their interactions with the inflaton, giving us crucial insights into the structure of fundamental physics at extremely high energies. We study gauge-Higgs theories that may be accessible in this regime, carefully imposing the constraints of gauge symmetry and its (partial) Higgsing. We distinguish two types of Higgs mechanisms: (i) a standard one in which the Higgs scale is constant before and after inflation, where the particles observable in non-Gaussianities are far heavier than can be accessed by laboratory experiments, perhaps associated with gauge unification, and (ii) a “heavy-lifting” mechanism in which couplings to curvature can result in Higgs scales of order the Hubble scale during inflation while reducing to far lower scales in the current era, where they may now be accessible to collider and other laboratory experiments. In the heavy-lifting option, renormalization-group running of terrestrial measurements yield predictions for cosmological non-Gaussianities. If the heavy-lifted gauge theory suffers a hierarchy problem, such as does the Standard Model, confirming such predictions would demonstrate a striking violation of the Naturalness Principle. While observing gauge-Higgs sectors in non-Gaussianities will be challenging given the constraints of cosmic variance, we show that it may be possible with reasonable precision given favorable couplings to the inflationary dynamics.

Highlights

  • Cosmic Inflation, originally invoked to help explain the homogeneity and flatness of the universe on large scales, provides an attractive framework for understanding inhomogeneities on smaller scales, such as the spectrum of temperature fluctuations in the Cosmic Microwave Background (CMB) radiation

  • Cosmological Collider Physics builds on the distinctive non-analytic momentum dependence of primordial NG mediated by particles with masses m ∼ H, in contrast to the analytic dependence of NG due purely to the inflationary dynamics, driven by fields with multiple light (m H)

  • We focused on the question of whether gauge-theories with such ultra-high ∼ H mass scales could be detected by this means, since such theories are obviously very highly motivated

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Summary

Introduction

Cosmic Inflation (see [1] for a review), originally invoked to help explain the homogeneity and flatness of the universe on large scales, provides an attractive framework for understanding inhomogeneities on smaller scales, such as the spectrum of temperature fluctuations in the Cosmic Microwave Background (CMB) radiation. In this way such a nonminimal coupling can lift up a gauge theory with a relatively low Higgs scale today, which we can access via collider or other probes, to the window of opportunity of cosmological collider physics during the inflationary era We will call this the “heavy-lifting” mechanism. We consider the more agnostic approach in which the dynamics of inflation itself is parametrized as a given background process [45], but in which the interactions of the gauge-Higgs sector and inflaton fluctuations are explicitly described This will allow for larger NG signals, capable in principle of allowing even multiple particles to be discerned. We will refer explicitly to H in the text throughout, again for ease of reading, and in the unnumbered equations within the text

The in-in formalism for cosmological correlators
Useful gauges for general coordinate invariance
Observables
NG from single field inflation in the squeezed limit
NG from multifield inflation in the squeezed limit
NG from Hubble-scale masses in the squeezed limit
The central plot and its connections to the literature
High energy physics at the Hubble scale
Heavy-lifting of gauge-Higgs theory
NG in single field slow roll inflation
Cutoff and coupling strengths of effective theory
Visibility of a Higgs scalar
Visibility of a massive gauge boson
Gauge theory with a heavy Higgs scalar
NG in the Effective Goldstone description of inflationary dynamics
Leading terms in the effective theory and power spectrum
Higher order terms
10 Kμμ is suppressed only by
Detailed form of NG mediated by h
Single exchange diagram
Triple exchange diagram
Detailed form of NG mediated by Z
Double exchange diagram
Concluding remarks and future directions
A Scalar fields in dS space
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