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Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators
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The primordial four-point function encodes a wealth of information about the inflationary Universe. Despite extensive theoretical work, most models of four-point physics have never been compared to data. In this series, we conduct a detailed analysis of Cosmic Microwave Background temperature and polarization trispectra, searching for a wide variety of phenomena including local effects, self-interactions, curvatons, DBI inflation, gauge fields, solid inflation, scalar field exchange, spinning massive field exchange, chiral physics, point sources, and gravitational lensing. After presenting a suite of separable primordial templates, we derive thirteen quasi-optimal estimators that directly estimate the underlying template amplitudes. These are unbiased, minimum variance, mask-deconvolved, and account for correlations between templates (including with lensing). Each estimator can be efficiently implemented using spherical harmonic transforms, Monte Carlo methods, and optimization techniques, and asymptotes to standard forms in certain limits. In Paper 2, we implement these estimators in public code, and in Paper 3, use them to constrain primordial trispectra with Planck data. This enables a wide variety of tests of inflation, including some of the first direct constraints on cosmological collider physics.
Forward citations
Cited by 7 Pith papers
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Primordial Physics in the Nonlinear Universe: Revealing the oscillating halo bias from cosmological collider models
A binning-based IC method yields the first N-body measurements of oscillating halo bias from cosmological collider bispectra, with mass- and assembly-dependent phases fit by peak-background-split theory.
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Parity-violating scalar trispectrum from helical primordial magnetic fields
Helical primordial magnetic fields produce a computable parity-odd signal in the scalar trispectrum, currently constrained to r_H ≲ 4×10^-4 for B_r = 4.7 nG.
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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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Inflationary trispectrum of gauge fields from scalar and tensor exchanges
The inflationary trispectrum of gauge fields from scalar and tensor exchanges is derived analytically, yielding beta^zeta_nl = (b^zeta_nl)^2 in the counter-collinear limit and growing flattened-limit signals.
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Twisted echoes of an odd quartet: Scalar-induced gravitational waves as a probe of primordial parity-violation
A parity-odd primordial trispectrum imprints measurable left-right asymmetry in scalar-induced gravitational waves, and the chirality ratio directly tracks the parity-odd to parity-even trispectrum amplitude ratio.
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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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Constraining primordial non-Gaussianity and parity-violation through Scalar-Induced Gravitational Waves with next-generation ground-based interferometers
ET+CE forecast: injected SIGW parameters (A_p, f_peak, f_NL, tau_NL, parity-odd tau_tilde_NL) are recovered within 1-2 sigma despite an astrophysical foreground, but the chiral V-mode is sub-threshold (SNR 0.5-1.9).
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