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Light Scalars at the Cosmological Collider
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We study the self-energies of weakly interacting scalar fields in de Sitter space with one field much lighter than the Hubble scale. We argue that self-energies drastically simplify in this light limit. We illustrate this in theories with two scalar fields, one heavy and one light, interacting with one another through either cubic or quartic interactions. To regulate infrared divergences, we compute these self-energies in Euclidean de Sitter space and then carefully analytically continue to Lorentzian signature. In particular, we do this for the most general renormalizable theory of two scalar fields with even interactions to leading order in the coupling and the mass of the light field. These self-energies are determined by de Sitter sunset diagrams, whose analytic structure and UV divergences we derive. Even at very weak couplings, the light field can substantially change how the heavy field propagates over long distances. The light field's existence may then be inferred from how it modifies the heavy field's oscillatory contribution to the primordial bispectrum in the squeezed limit, i.e. its cosmological collider signal.
Forward citations
Cited by 7 Pith papers
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Anatomy of Family Trees in Cosmological Correlators
A complete map of singularities and local series expansions for the hypergeometric building blocks of tree-level cosmological correlators.
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Non-linear structure formation damps oscillatory squeezed bispectra with cos(µ ln(q/k)) shape by k ~ 0.3 h/Mpc at z = 0, and iterative reconstruction recovers most of the signal.
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Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators
A set of quasi-optimal CMB trispectrum estimators is derived for local, EFT, direction-dependent, spinning-particle, point-source, and lensing templates, enabling first collider searches.
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Massive Inflationary Amplitudes: Differential Equations and Complete Solutions for General Trees
Every tree-level massive inflation correlator in the signal region can be written as one massive family tree series plus its cuts, with 2I summation variables.
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Searching for Inflationary Physics with the CMB Trispectrum: 3. Constraints from Planck
A comprehensive Planck PR4 trispectrum analysis finds no primordial non-Gaussianity across 33 templates and sets leading constraints, including tau_NL loc < 1500 at 95% CL.
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Cosmological Correlators at the Loop Level
Using the partial Mellin-Barnes method, the author derives analytic signals from one-loop bubble diagrams in inflation correlators, including the first analytic results for a de Sitter boost-breaking bubble.
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