skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Planck 2018 results

Journal Article · · Astronomy and Astrophysics

We analyse the Planck full-mission cosmic microwave background (CMB) temperature and E-mode polarization maps to obtain constraints on primordial non-Gaussianity (NG). We compare estimates obtained from separable template-fitting, binned, and optimal modal bispectrum estimators, finding consistent values for the local, equilateral, and orthogonal bispectrum amplitudes. Our combined temperature and polarization analysis produces the following final results: fNLlocal = -0.9 ± 5.1; fNLequil = -26 ± 47; and fNLortho = -38 ± 24 (68% CL, statistical). These results include low-multipole (4 ≤ < 40) polarization data that are not included in our previous analysis. The results also pass an extensive battery of tests (with additional tests regarding foreground residuals compared to 2015), and they are stable with respect to our 2015 measurements (with small fluctuations, at the level of a fraction of a standard deviation, which is consistent with changes in data processing). Polarization-only bispectra display a significant improvement in robustness; they can now be used independently to set primordial NG constraints with a sensitivity comparable to WMAP temperature-based results and they give excellent agreement. In addition to the analysis of the standard local, equilateral, and orthogonal bispectrum shapes, we consider a large number of additional cases, such as scale-dependent feature and resonance bispectra, isocurvature primordial NG, and parity-breaking models, where we also place tight constraints but do not detect any signal. The non-primordial lensing bispectrum is, however, detected with an improved significance compared to 2015, excluding the null hypothesis at 3.5σ. Beyond estimates of individual shape amplitudes, we also present model-independent reconstructions and analyses of the Planck CMB bispectrum. Our final constraint on the local primordial trispectrum shape is gNLlocal = (-5.8 ± 6.5) × 104 (68% CL, statistical), while constraints for other trispectrum shapes are also determined. Exploiting the tight limits on various bispectrum and trispectrum shapes, we constrain the parameter space of different early-Universe scenarios that generate primordial NG, including general single-field models of inflation, multi-field models (e.g. curvaton models), models of inflation with axion fields producing parity-violation bispectra in the tensor sector, and inflationary models involving vector-like fields with directionally-dependent bispectra. Our results provide a high-precision test for structure-formation scenarios, showing complete agreement with the basic picture of the ΛCDM cosmology regarding the statistics of the initial conditions, with cosmic structures arising from adiabatic, passive, Gaussian, and primordial seed perturbations.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Contributing Organization:
Planck Collaboration
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1713244
Journal Information:
Astronomy and Astrophysics, Vol. 641; ISSN 0004-6361
Publisher:
EDP SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (204)

Exploring cosmic origins with CORE: Inflation journal April 2018
Scale-dependent gravitational waves from a rolling axion journal January 2016
Effective field theory approach to quasi-single field inflation and effects of heavy fields journal June 2013
An inflationary model with small scalar and large tensor nongaussianities journal November 2013
Non-Gaussianity from step features in the inflationary potential journal January 2012
Ekpyrotic perturbations with small non-Gaussian corrections journal May 2014
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models journal August 2000
Particle production during inflation and gravitational waves detectable by ground-based interferometers journal January 2012
Theory of non-Gaussianity in warm inflation journal December 2014
The binned bispectrum estimator: template-based and non-parametric CMB non-Gaussianity searches journal May 2016
Parity violation in the CMB bispectrum by a rolling pseudoscalar journal November 2013
Extragalactic source counts and contributions to the anisotropies of the cosmic microwave background: predictions for the Planck Surveyor mission journal June 1998
Folded resonant non-Gaussianity in general single field inflation journal December 2010
Planck 2018 results: I. Overview and the cosmological legacy of Planck journal September 2020
Non-Gaussianity from inflation journal April 2002
Planck 2018 results: IV. Diffuse component separation journal September 2020
Planck 2015 results : XVII. Constraints on primordial non-Gaussianity journal September 2016
Planck 2015 results : XXI. The integrated Sachs-Wolfe effect journal September 2016
Cosmic microwave background bispectrum and inflation journal February 2000
Planck 2018 results: VII. Isotropy and statistics of the CMB journal September 2020
Observational signatures and non-Gaussianities of general single-field inflation journal January 2007
New sources of gravitational waves during inflation journal August 2014
Planck 2018 results: VIII. Gravitational lensing journal September 2020
Planck 2018 results: X. Constraints on inflation journal September 2020
Large non-Gaussianities in the effective field theory approach to single-field inflation: the bispectrum journal August 2010
The angular dependence of the three-point correlation function of the cosmic microwave background radiation as predicted by inflationary cosmologies journal January 1993
Signatures of initial state modifications on bispectrum statistics journal May 2009
Gravitational waves and the scale of inflation journal March 2015
CMB anisotropies at second order III: bispectrum from products of the first-order perturbations journal May 2009
A general analysis of non-gaussianity from isocurvature perturbations journal January 2009
Modulated fluctuations from hybrid inflation journal October 2004
Sachs-Wolfe at second order: the CMB bispectrum on large angular scales journal August 2009
Scale dependent local non-gaussianity from loops journal April 2010
Extended analysis of CMB constraints on non-gaussianity in isocurvature perturbations journal March 2013
Quasi-single field inflation and non-Gaussianities journal April 2010
Towards anisotropy-free and nonsingular bounce cosmology with scale-invariant perturbations journal August 2013
Primordial bispectrum information from CMB polarization journal October 2004
Non-Gaussianity in fluctuations from warm inflation journal April 2007
General primordial cosmic perturbation journal September 2000
Full trispectrum in single field DBI inflation journal August 2009
Testing primordial non-Gaussianity in CMB anisotropies journal February 2006
Strongly scale-dependent non-Gaussianity journal February 2011
More on crinkles in the last scattering surface journal May 2010
Universal Bound on N -Point Correlations from Inflation journal November 2011
A numerical study of non-Gaussianity in the curvaton scenario journal September 2006
Primordial Non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure journal January 2010
Non-Gaussian isocurvature perturbations from inflation journal July 1997
CMB constraints on running non-Gaussianity journal May 2018
Constraining scale-dependent non-Gaussianity with future large-scale structure and the CMB journal December 2012
Cosmological 'seed' magnetic field from inflation journal May 1992
The CMB bispectrum journal December 2012
Anisotropic power spectrum and bispectrum in the f ( ϕ ) F 2 mechanism journal January 2013
Signature of supersymmetry from the early universe journal May 2012
Bispectra from two-field inflation using the long-wavelength formalism journal June 2011
Predictions of the Angular Power Spectrum of Clustered Extragalactic Point Sources at Cosmic Microwave Background Frequencies from Flat and All‐Sky Two‐dimensional Simulations journal March 2005
Hunting for isocurvature modes in the cosmic microwave background non-Gaussianities journal October 2011
New mechanism for generating density perturbations from inflation journal January 2004
Perturbations of a Cosmological Model and Angular Variations of the Microwave Background journal January 1967
On graviton non-gaussianities during inflation journal September 2011
Optimal bispectrum estimator and simulations of the CMB lensing-integrated Sachs Wolfe non-Gaussian signal journal July 2013
Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity journal October 2014
Inflationary trispectrum for models with large non-Gaussianities journal December 2006
Microwave background bispectrum. II. A probe of the low redshift universe journal April 1999
Scale dependence of local f NL journal February 2010
Hunting for primordial non-Gaussianity in the cosmic microwave background journal May 2010
Galaxy bispectrum from massive spinning particles journal May 2018
Fast Estimator of Primordial Non‐Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background journal August 2007
Imprints of a primordial preferred direction on the microwave background journal April 2007
Ekpyrotic Nongaussianity: A Review journal January 2010
Drifting oscillations in axion monodromy journal October 2017
The bispectrum of polarized galactic foregrounds journal October 2019
Probing two-field open inflation by resonant signals in correlation functions journal May 2013
The shape of the CMB lensing bispectrum journal March 2011
Optimal limits on f NL local from WMAP 5-year data journal September 2009
A generalized local ansatz and its effect on halo bias journal March 2011
Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background journal May 2013
Cosmological shapes of higher-spin gravity journal April 2019
Optimal estimator for resonance bispectra in the CMB journal February 2015
Combining power spectrum and bispectrum measurements to detect oscillatory features journal January 2015
Planck 2013 results. XXII. Constraints on inflation journal October 2014
Effects of cosmological moduli fields on cosmic microwave background journal December 2001
Estimators for CMB statistical anisotropy journal September 2009
Adiabatic CMB perturbations in pre-Big-Bang string cosmology journal April 2002
General CMB and primordial bispectrum estimation: Mode expansion, map making, and measures of F NL journal July 2010
Stimulated creation of quanta during inflation and the observable universe journal July 2011
Large non-Gaussianities in single-field inflation journal June 2007
Fast Estimator of Primordial Non‐Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background. II. Partial Sky Coverage and Inhomogeneous Noise journal May 2008
Non-gaussianities from perturbing recombination journal September 2009
Modulated reheating and large non-gaussianity in string cosmology journal May 2012
Cosmological perturbations from inhomogeneous reheating, freeze-out, and mass domination journal April 2004
Large-scale structure, the cosmic microwave background and primordial non-Gaussianity journal March 2000
Lattice Calculation of Non-Gaussian Density Perturbations from the Massless Preheating Inflationary Model journal January 2008
Impact of polarization on the intrinsic cosmic microwave background bispectrum journal November 2014
Planck 2018 results: III. High Frequency Instrument data processing and frequency maps journal September 2020
First Constraints on the Running of Non-Gaussianity journal September 2012
Tilt and running of cosmological observables in generalized single-field inflation journal December 2010
Planck 2013 results. XVII. Gravitational lensing by large-scale structure journal October 2014
Review of Local Non-Gaussianity from Multifield Inflation journal January 2010
A single field inflation model with large local non-Gaussianity journal June 2013
Planck 2015 results : XX. Constraints on inflation journal September 2016
Gauge-Invariant Temperature Anisotropies and Primordial Non-Gaussianity journal December 2004
Measuring the duration of inflation with the curvaton journal September 2018
Non-Gaussianities in single field inflation and their optimal limits from the WMAP 5-year data journal January 2010
Non-Gaussian density fluctuations from entropically generated curvature perturbations in ekpyrotic models journal March 2008
Gauge-invariant cosmological perturbations journal October 1980
Cosmic microwave background bispectrum and slow-roll inflation journal April 2000
The three-point correlation function of the cosmic microwave background in inflationary models journal July 1994
The bispectra of galactic CMB foregrounds and their impact on primordial non-Gaussianity estimation journal November 2018
Features of heavy physics in the CMB power spectrum journal January 2011
Non-Gaussianity from inflation: theory and observations journal November 2004
Non-Gaussianity and the Cosmic Microwave Background Anisotropies journal January 2010
Parity violation of primordial magnetic fields in the CMB bispectrum journal June 2012
CMB delensing beyond the B modes journal December 2017
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere journal April 2005
Anisotropy in solid inflation journal August 2013
Non-Gaussianities in models with a varying inflaton decay rate journal February 2004
Planck 2013 results. XIX. The integrated Sachs-Wolfe effect journal October 2014
Improved Simulation of Non-Gaussian Temperature and Polarization Cosmic Microwave Background maps journal September 2009
Squeezed limit of the solid inflation three-point function journal September 2014
Constraining primordial non-Gaussianity with future galaxy surveys: Primordial non-Gaussianity with galaxy surveys journal April 2012
CMB 3-point functions generated by nonlinearities at recombination journal October 2004
The full squeezed CMB bispectrum from inflation journal June 2012
Cosmological constraints on dissipative models of inflation journal January 2008
Non-Gaussianities from ekpyrotic collapse with multiple fields journal November 2007
Planck 2013 results support the cyclic universe journal June 2013
Partially massless fields during inflation journal April 2018
Generation and characterization of large non-Gaussianities in single field inflation journal April 2008
Crinkles in the last scattering surface: Non-Gaussianity from inhomogeneous recombination journal January 2009
Generating the curvature perturbation at the end of inflation journal November 2005
Effects of scale-dependent non-Gaussianity on cosmological structures journal April 2008
Primordial Non-Gaussianities from Inflation Models journal January 2010
Weak lensing of the CMB: A harmonic approach journal July 2000
Non-Gaussianities in two-field inflation journal May 2006
Dusty Infrared Galaxies: Sources of the Cosmic Infrared Background journal September 2005
Inflationary Prediction for Primordial Non-Gaussianity journal September 2005
The curvaton web journal April 2006
CMB scale dependent non-Gaussianity from massive gravity during inflation journal May 2017
Planck 2018 results: V. CMB power spectra and likelihoods journal September 2020
Non-linear isocurvature perturbations and non-Gaussianities journal December 2008
Resonant non-gaussianity journal January 2011
CMB constraint on non-Gaussianity in isocurvature perturbations journal July 2013
Galileon inflation journal January 2011
Planck 2018 results: VI. Cosmological parameters journal September 2020
NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: FINAL MAPS AND RESULTS journal September 2013
Non-Gaussianity in multifield inflation journal November 2002
Oscillations in the CMB from axion monodromy inflation journal June 2010
Non-Gaussianity of the primordial perturbation in the curvaton model journal November 2006
Acoustic signatures in the primary microwave background bispectrum journal February 2001
Measuring Primordial Non‐Gaussianity in the Cosmic Microwave Background journal November 2005
Scale-dependent non-Gaussianity probes inflationary physics journal October 2010
Evolution of second-order cosmological perturbations and non-Gaussianity journal January 2004
Generating the curvature perturbation without an inflaton journal January 2002
On the non-Gaussianity from recombination journal March 2009
Cosmic Microwave Background Bispectrum from Recombination journal March 2013
Scale-dependent non-Gaussianity as a generalization of the local model journal January 2011
Non-Gaussianity from broken symmetries journal January 2006
The GRAVITY young stellar object survey: II. First spatially resolved observations of the CO bandhead emission in a high-mass YSO journal March 2020
General treatment of isocurvature perturbations and non-Gaussianities journal January 2011
Observed parity-odd CMB temperature bispectrum journal January 2015
The expected anisotropy in solid inflation journal November 2014
Squeezed tensor non-Gaussianity in non-attractor inflation journal September 2019
Planck 2018 results: II. Low Frequency Instrument data processing journal September 2020
Detecting bispectral acoustic oscillations from inflation using a new flexible estimator: Detecting bispectral acoustic oscillations from inflation using a new flexible estimator journal September 2010
Primordial Non-Gaussianity in the Cosmic Microwave Background journal January 2010
Large non-Gaussianities in the effective field theory approach to single-field inflation: the trispectrum journal September 2010
Non-Gaussianity in two-field inflation beyond the slow-roll approximation journal May 2017
The effective field theory of inflation journal March 2008
Quantization of perturbations in an inflating elastic solid journal June 2014
Isocurvature baryon perturbations and inflation journal July 1990
Non-Gaussianity from preheating journal April 2005
Joint resonant CMB power spectrum and bispectrum estimation journal February 2016
Parity-violating CMB correlators with non-decaying statistical anisotropy journal July 2015
Constraining running non-gaussianity journal December 2009
Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves journal July 2017
Limits on non-Gaussianities from WMAP data journal May 2006
Estimating non-Gaussianity in the microwave background journal September 1998
The CMB bispectrum in the squeezed limit journal November 2011
Note on the production of scale-invariant entropy perturbation in the Ekpyrotic universe journal July 2013
General modal estimation for cross-bispectra journal June 2019
Rapidly-varying speed of sound, scale invariance and non-Gaussian signatures journal July 2009
Isocurvature modes in the CMB bispectrum journal July 2012
Non-Gaussianity of the cosmic infrared background anisotropies - II. Predictions of the bispectrum and constraints forecast journal January 2014
Effective field theory for inflation journal June 2008
Non-Gaussianity of the cosmic infrared background anisotropies – I. Diagrammatic formalism and application to the angular bispectrum journal January 2014
Generating the Curvature Perturbation at the End of Inflation in String Theory journal September 2006
The Komatsu Spergel Wandelt estimator for oscillations in the cosmic microwave background bispectrum journal October 2014
Solid inflation journal October 2013
Non-Gaussian features of primordial gravitational waves journal October 2018
Primordial non-Gaussianities of gravitational waves beyond Horndeski theories journal February 2016
General parity-odd CMB bispectrum estimation journal May 2014
Non-Gaussian Curvature Spikes from Chaotic Billiards in Inflation Preheating journal August 2009
Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra journal January 2019
Quantitative bispectra from multifield inflation journal October 2007
Non-Gaussian isocurvature perturbations in dark radiation journal July 2012
Non-Gaussianity in the cosmic microwave background anisotropies at recombination in the squeezed limit journal February 2012
Non-Gaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation journal May 2006
Limits on isocurvature perturbations from non-Gaussianity in WMAP temperature anisotropy journal October 2009
Non-Gaussianity from isocurvature perturbations journal November 2008
Planck 2018 results: XI. Polarized dust foregrounds journal September 2020
Running non-Gaussianities in Dirac-Born-Infeld inflation journal December 2005
Generation of density perturbations at the end of inflation journal December 2005
Detecting higher spin fields through statistical anisotropy in the CMB bispectrum journal August 2018
Primordial density perturbation in the curvaton scenario journal January 2003
A new approach to probing primordial non-Gaussianity journal February 2010

Cited By (9)

A physical approach to modelling large-scale galactic magnetic fields journal March 2019
Extreme starlight polarization in a region with highly polarized dust emission journal April 2019
Gas shells and magnetic fields in the Orion-Eridanus superbubble journal October 2019
Link between EB polarization modes and gas column density from interstellar dust emission journal November 2019
Re-evaluating evidence for Hawking points in the CMB journal March 2020
The flickering nuclear activity of Fornax A journal January 2020
CMB foreground measurements through broad-band radio spectro-polarimetry: prospects of the SKA-MPG telescope journal June 2019
Local Bubble contribution to the 353-GHz dust polarized emission journal November 2019
Reionization optical depth determination from Planck HFI data with ten percent accuracy journal March 2020

Similar Records

Planck 2015 results: XVII. Constraints on primordial non-Gaussianity
Journal Article · Tue Sep 20 00:00:00 EDT 2016 · Astronomy and Astrophysics · OSTI ID:1713244

Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity
Journal Article · Wed Oct 29 00:00:00 EDT 2014 · Astronomy and Astrophysics · OSTI ID:1713244

Constraining running non-gaussianity
Journal Article · Tue Dec 01 00:00:00 EST 2009 · Journal of Cosmology and Astroparticle Physics · OSTI ID:1713244