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Constraints on $\tau_\mathrm{NL}$ from Planck temperature and polarization
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abstract
We update constraints on the amplitude of the primordial trispectrum, using the final Planck mission temperature and polarization data. In the squeezed limit, a cosmological local trispectrum would be observed as a spatial modulation of small-scale power on the CMB sky. We reconstruct this signal as a source of statistical anisotropy via quadratic estimator techniques. We systematically demonstrate how the estimated power spectrum of a reconstructed modulation field can be translated into a constraint on $\tau_\mathrm{NL}$ via likelihood methods, demonstrating the procedures effectiveness by inferring known $\tau_\mathrm{NL}$ signal(s) from simulations. Our baseline results constrain $\tau_\mathrm{NL} < 1700$ at the 95\% confidence level, providing the most stringent constraints to date.
Forward citations
Cited by 3 Pith papers
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Searching for Inflationary Physics with the CMB Trispectrum: 2. Code & Validation
PolySpec is a public, validated suite of near-optimal quartic estimators that lets the CMB four-point function probe many inflationary models beyond local non-Gaussianity.
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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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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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