English

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

Cosmology and Nongalactic Astrophysics 2022-08-17 v1

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 τNL\tau_\mathrm{NL} via likelihood methods, demonstrating the procedures effectiveness by inferring known τNL\tau_\mathrm{NL} signal(s) from simulations. Our baseline results constrain τNL<1700\tau_\mathrm{NL} < 1700 at the 95\% confidence level, providing the most stringent constraints to date.

Keywords

Cite

@article{arxiv.2205.14408,
  title  = {Constraints on $\tau_\mathrm{NL}$ from Planck temperature and polarization},
  author = {Kareem Marzouk and Antony Lewis and Julien Carron},
  journal= {arXiv preprint arXiv:2205.14408},
  year   = {2022}
}
R2 v1 2026-06-24T11:31:48.522Z