Constraints on ${\tau }_{\mathrm{NL}}$ from Planck temperature and polarization

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.

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• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• Possible Impact of non-Gaussianities on cosmological constraints in neutrino physics