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Boostless Cosmological Collider Bootstrap
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Cosmological correlation functions contain valuable information about the primordial Universe, with possible signatures of new massive particles at very high energies. Recent developments, including the cosmological bootstrap, bring new perspectives and powerful tools to study these observables. In this paper, we systematically classify inflationary three-point correlators of scalar perturbations using the bootstrap method. For the first time, we derive a complete set of single-exchange cosmological collider bispectra with new shapes and potentially detectable signals. Specifically, we focus on the primordial scalar bispectra generated from the exchange of massive particles with all possible boost-breaking interactions during inflation. We introduce three-point "seed" functions, from which we bootstrap the inflationary bispectra of scalar and spinning exchanges using weight-shifting and spin-raising operators. The computation of the seed function requires solving an ordinary differential equation in comoving momenta, a boundary version of the equation of motion satisfied by a propagator that linearly mixes a massive particle with the external light scalars. The resulting correlators are presented in analytic form, for any kinematics. These shapes are of interest for near-future cosmological surveys, as the primordial non-Gaussianity in boost-breaking theories can be large. We also identify new features in these shapes, which are phenomenologically distinct from the de Sitter invariant cases. For example, the oscillatory shapes around the squeezed limit have different phases. Furthermore, when the massive particle has much lower speed of sound than the inflaton, oscillatory features appear around the equilateral configuration.
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Cited by 17 Pith papers
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Higher-Spin Correlators in dS
The five-point de Sitter higher-spin correlator is shown to be a spurious-singularity-free rational function organized by graph-theoretic orbits of the complete graph K5.
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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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Dissecting the Scalar Cosmological Collider with the Cosmic Microwave Background
A joint Bayesian fit of the multi-field inflationary Lagrangian to Planck bispectrum data finds no cosmological collider signal (max Δχ²=5.3) and shows weak-mixing template searches are invalid except at the smallest masses.
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All Tree-Level Massive Cosmological Correlators via Spectral Gluing
Tree-level massive de Sitter correlators are constructed by gluing Lauricella-type vertex functions according to graph combinatorics, and the hypergeometric content collapses to rational functions once the dynamical p...
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Pushing the Primordial Frontier: Cosmological Collider Signatures at Strong Mixing
Exact analytic squeezed-limit bispectra for strongly mixed two-field inflation, nonperturbative in the curvature-isocurvature mixing λ.
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Cosmological Correlators in KLF and the Double-Exchange
The double-exchange cosmological correlator is computed in KLF space, yielding a double series over hypergeometric functions that improves on prior four-layer representations.
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Confronting infrared divergences in de Sitter: loops, logarithms and the stochastic formalism
The authors show that loop corrections do not alter tree-level time dependence in de Sitter correlators, so secular growth is a regularization artifact, not a physical effect.
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The Exact and Approximate Tales of Boost-Breaking Cosmological Correlators
The tree-level boost-breaking cosmological collider seed correlator is computed exactly for general sound speed and chemical potential, and saddle-point methods turn it into practical elementary-function templates.
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Bootstrapping the Cosmological Collider with Resonant Features
Oscillatory couplings with frequency above the heavy field mass remove the Boltzmann suppression of cosmological collider signals and produce new scale-dependent bispectrum shapes, with axion monodromy as a concrete r...
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Geometry of Kinematic Flow
The wavefunction coefficients of conformally coupled scalars in power-law cosmologies obey differential equations whose basis functions can be arranged on hypercubes and zonotopes, with a single merger rule generating...
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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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Primordial Correlators from a Kaluza-Klein Graviton Continuum
In an RS2-like inflationary brane world, the continuum of Kaluza-Klein gravitons smears the logarithmic clock oscillation of the cosmological collider into a smooth seed function.
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AGILE: an end-to-end Rubin-LSST simulation of AGNs, galaxies, and stars I. Software description and first data release
AGILE builds a 24 deg² truth catalog and a 1 deg² three-year LSST pilot (DR1) to measure flux recovery and Type-1 AGN completeness/purity from color and variability selections.
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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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Amplifying the Cosmological Collider with Ghost Spectators
Ghost-condensate spectator fields exchanged during inflation cut the Boltzmann suppression of cosmological collider signals to e^{-πμ/2}, amplifying heavy-particle bispectrum and trispectrum imprints.
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