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.

References in corpus (49)

• Planck 2015 results. XIII. Cosmological parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Non-Gaussianity from Inflation: Theory and Observations
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Planck 2018 results. VIII. Gravitational lensing
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Planck 2018 results. III. High Frequency Instrument data processing and frequency maps
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• Planck intermediate results. LVII. Joint Planck LFI and HFI data processing
• CMB lensing from Planck PR4 maps
• Likelihood Analysis of CMB Temperature and Polarization Power Spectra
• The pre-launch Planck Sky Model: a model of sky emission at submillimetre to centimetre wavelengths
• Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
• Non-Gaussianity in the modulated reheating scenario
• Estimators for CMB Statistical Anisotropy
• Primordial trispectrum from inflation
• The Angular Trispectra of CMB Temperature and Polarization
• Review of local non-Gaussianity from multi-field inflation
• Analyzing weak lensing of the cosmic microwave background using the likelihood function
• Angular Trispectrum of CMB Temperature Anisotropy from Primordial Non-Gaussianity with the Full Radiation Transfer Function
• Bias-Hardened CMB Lensing
• CMB temperature lensing power reconstruction
• Scale-dependent non-Gaussianity probes inflationary physics
• CMB Constraints on Primordial non-Gaussianity from the Bispectrum (f_{NL}) and Trispectrum (g_{NL} and τ_{NL}) and a New Consistency Test of Single-Field Inflation
• Reconstructing Patchy Reionization from the Cosmic Microwave Background
• General CMB and Primordial Trispectrum Estimation
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• CMB 3-point functions generated by non-linearities at recombination
• A simulation pipeline for the Planck mission
• Quadratic estimators for CMB weak lensing
• Aspects of the Cosmic Microwave Background Dipole
• Fast Pixel Space Convolution for CMB Surveys with Asymmetric Beams and Complex Scan Strategies: FEBeCoP
• The real shape of non-Gaussianities
• B-mode CMB Polarization from Patchy Screening during Reionization
• CMB lensing and primordial squeezed non-Gaussianity
• Patchy Screening of the Cosmic Microwave Background by Inhomogeneous Reionization
• Constraints on Patchy Reionization from Planck CMB Temperature Trispectrum
• Optimal filtering for CMB lensing reconstruction
• Planck Trispectrum Constraints on Primordial Non-Gaussianity at Cubic Order
• Constraining reionization with the first measurement of the cross-correlation between the CMB optical-depth fluctuations and the Compton y-map
• Searching for patchy reionization from cosmic microwave background with hybrid quadratic estimators
• Statistical anisotropies in temperature and polarization fluctuations from a scale-dependent trispectrum
• Closing in on the large-scale CMB power asymmetry
• Probing the circumgalactic medium with CMB polarization statistical anisotropy
• Lensing anomalies from the epoch of reionisation

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