Non-Gaussian CMB and LSS statistics beyond polyspectra

Abstract

Cosmic inflation may have led to non-Gaussian initial conditions that cannot be fully parametrised by 3- and/or 4-point functions. In this work, we discuss various strategies to search for primordial non-Gaussianity beyond polyspectra with the help of cosmological data. Our starting point is a generalised local ansatz for the primordial curvature perturbation $\zeta$ of the form $\zeta ={\zeta }_{\mathrm{G}}+{\mathcal{F}}_{\mathrm{NG}}({\zeta }_{\mathrm{G}})$, where ${\zeta }_{\mathrm{G}}$ is a Gaussian random field and ${\mathcal{F}}_{\mathrm{NG}}$ is an arbitrary function parametrising non-Gaussianity that, in principle, could be reconstructed from data. Noteworthily, in the case of multi-field inflation, the function ${\mathcal{F}}_{\mathrm{NG}}$ can be shown to be determined by the shape of tomographic sections of the landscape potential responsible for driving inflation. We discuss how this generalised local ansatz leads to a probability distribution functional that may be used to extract information about inflation from current and future observations. In particular, we derive various classes of probability distribution functions suitable for the statistical analysis of the cosmic microwave background and large-scale structure.

53 pages, matches published version

References in corpus (110)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large scale bias and the peak background split
• Baryonic Features in the Matter Transfer Function
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Planck 2013 results. I. Overview of products and scientific results
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Non-Gaussianity from Inflation: Theory and Observations
• The Effective Field Theory of Inflation
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• LSST Science Book, Version 2.0
• Euclid Definition Study Report
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Large-Scale Galaxy Bias
• Adiabatic and entropy perturbations from inflation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Second-Order Cosmological Perturbations from Inflation
• Single field consistency relation for the 3-point function
• The Effective Field Theory of Cosmological Large Scale Structures
• Primordial Non-Gaussianities from Inflation Models
• Effective Field Theory for Inflation
• Quasi-Single Field Inflation and Non-Gaussianities
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Constraints on local primordial non-Gaussianity from large scale structure
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• Fundamental Physics with the Square Kilometre Array
• The effect of primordial non-Gaussianity on halo bias
• Duality Invariance of Cosmological Perturbation Spectra
• CMB-S4 Science Book, First Edition
• On Soft Limits of Inflationary Correlation Functions
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Scalar perturbations during multiple-field slow-roll inflation
• Cosmological Collider Physics
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Effective field theory approach to quasi-single field inflation and effects of heavy fields
• Non-Gaussianity as a Particle Detector
• On the consistency relation of the 3-point function in single field inflation
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Halo mass function and scale-dependent bias from N-body simulations with non-Gaussian initial conditions
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• The Microwave Background Bispectrum, Paper II: A Probe of the Low Redshift Universe
• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Inflation, Cosmic Perturbations and Non-Gaussianities
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Non-Gaussian Spikes from Chaotic Billiards in Inflation Preheating
• CMB Anisotropies at Second Order I
• Productive Interactions: heavy particles and non-Gaussianity
• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
• CMB Anisotropies at Second-Order II: Analytical Approach
• Equilateral non-Gaussianity from heavy fields
• Constraining local non-Gaussianities with kSZ tomography
• Direct Signature of Evolving Gravitational Potential from Cosmic Microwave Background
• Galaxy Bispectrum from Massive Spinning Particles
• CMB 3-point functions generated by non-linearities at recombination
• The Full Second-Order Radiation Transfer Function for Large-Scale CMB Anisotropies
• Using Cluster Abundances and Peculiar Velocities to Test the Gaussianity of the Cosmological Density Field
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Soft Theorems For Shift-Symmetric Cosmologies
• Non-Gaussian Minkowski functionals & extrema counts in redshift space
• Dark energy and cosmic microwave background bispectrum
• Sachs-Wolfe at second order: the CMB bispectrum on large angular scales
• A generalized non-Gaussian consistency relation for single field inflation
• Cosmological Perturbations at Second Order and Recombination Perturbed
• Cosmic microwave background bispectrum on small angular scales
• Density perturbations arising from multiple field slow-roll inflation
• CMB anisotropies at second order III: bispectrum from products of the first-order perturbations
• Cumulative effects in inflation with ultra-light entropy modes
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• Time-sliced perturbation theory with primordial non-Gaussianity and effects of large bulk flows on inflationary oscillating features
• Detecting higher spin fields through statistical anisotropy in the CMB and galaxy power spectra
• Landscape tomography through primordial non-Gaussianity
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Halo clustering and g_{NL}-type primordial non-Gaussianity
• Unique Fingerprints of Alternatives to Inflation in the Primordial Power Spectrum
• Non-Gaussianities from Perturbing Recombination
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski Functionals
• Mass function and bias of dark matter halos for non-Gaussian initial conditions
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Non-perturbative probability distribution function for cosmological counts in cells
• Reconstructing the Inflationary Landscape with Cosmological Data
• On the non-Gaussianity from Recombination
• Multiple Soft Limits of Cosmological Correlation Functions
• Vanishing of local non-Gaussianity in canonical single field inflation
• Point Source Contamination in CMB Non-Gaussianity Analyses
• Complementary Test of the Dark Matter Self-Interaction by Direct and Indirect Detections
• Constraints on long-lived, higher-spin particles from galaxy bispectrum
• The large-scale correlations of multi-cell densities and profiles, implications for cosmic variance estimates
• Non-Gaussian halo abundances in the excursion set approach with correlated steps
• Statistics of general functions of a Gaussian field -application to non-Gaussianity from preheating-
• Primordial Black Holes from non-Gaussian tails
• On the use of the Edgeworth expansion in cosmology I: how to foresee and evade its pitfalls
• Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
• Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency
• Probing the Primordial Universe using Massive Fields
• Axion excursions of the landscape during inflation
• A Simultaneous Constraint on the Amplitude and Gaussianity of Mass Fluctuations in the Universe

Cited by in corpus (9)

• Seeding primordial black holes in multifield inflation
• Non-perturbative non-Gaussianity and primordial black holes
• Primordial black holes from single-field inflation: a fine-tuning audit
• Large Deviations in the Early Universe
• Quijote-PNG: The Information Content of the Halo Mass Function
• Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
• The large-scale structure from non-Gaussian primordial perturbations
• The hand-made tail: Non-perturbative tails from multifield inflation
• Primordial gravitational waves from excited states