Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure

Abstract

The most direct probe of non-Gaussian initial conditions has come from bispectrum measurements of temperature fluctuations in the Cosmic Microwave Background and of the matter and galaxy distribution at large scales. Such bispectrum estimators are expected to continue to provide the best constraints on the non-Gaussian parameters in future observations. We review and compare the theoretical and observational problems, current results and future prospects for the detection of a non-vanishing primordial component in the bispectrum of the Cosmic Microwave Background and large-scale structure, and the relation to specific predictions from different inflationary models.

82 pages, 23 figures; Invited Review for the special issue "Testing the Gaussianity and Statistical Isotropy of the Universe" for Advances in Astronomy

References in corpus (54)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• Correlation of CMB with large-scale structure: I. ISW Tomography and Cosmological Implications
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Enhanced Non-Gaussianity from Excited Initial States
• Non-Gaussianities in two-field inflation
• Cosmology and the Bispectrum
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Component separation methods for the Planck mission
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Multi-Point Propagators in Cosmological Gravitational Instability
• General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of f_NL
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Non-Gaussianities in New Ekpyrotic Cosmology
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• The Wilkinson Microwave Anisotropy Probe (WMAP) Source Catalog
• Non-Gaussianity from Preheating
• Limits on f_NL parameters from WMAP 3yr data
• Scale dependence of local f_NL
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• 21-cm Background Anisotropies Can Discern Primordial Non-Gaussianity
• Large non-Gaussianity from multi-brid inflation
• The bispectrum of redshifted 21-cm fluctuations from the dark ages
• Non-Gaussianity from Instant and Tachyonic Preheating
• Holographic Systematics of D-brane Inflation
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• Primordial non-Gaussianity and the CMB bispectrum
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• An analytic model for the bispectrum of galaxies in redshift space
• The Void Abundance with Non-Gaussian Primordial Perturbations
• Non-gaussianity of inflationary field perturbations from the field equation
• On the Physical Significance of Infra-red Corrections to Inflationary Observables
• Impact of Secondary non-Gaussianities on the Search for Primordial Non-Gaussianity with CMB Maps
• Cosmic microwave background bispectrum on small angular scales
• Predictions for Nongaussianity from Nonlocal Inflation
• Non-Gaussianity from massless preheating
• Scale Dependence of Halo Bispectrum from Non-Gaussian Initial Conditions in Cosmological N-body Simulations
• Non-Gaussianities from Perturbing Recombination
• Signatures of Primordial non-Gaussianities in the Matter Power-Spectrum and Bispectrum: the Time-RG Approach
• Non-Gaussianities in extended D-term inflation
• Point Source Contamination in CMB Non-Gaussianity Analyses
• Impact of Uncertainties in the Cosmological Parameters on the Measurement of Primordial non-Gaussianity
• Determine the galaxy bias factors on large scales using bispectrum method
• Impact of the 1/f noise and the asymmetric beam on non-Gaussianity searches with Planck

Cited by in corpus (154)

• Large-Scale Galaxy Bias
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• DESI and other dark energy experiments in the era of neutrino mass measurements
• Improved constraints on the primordial power spectrum at small scales from ultracompact minihalos
• Features and New Physical Scales in Primordial Observables: Theory and Observation
• Resonant Non-Gaussianity
• Equilateral Non-Gaussianity and New Physics on the Horizon
• Constraining primordial non-Gaussianity with future galaxy surveys
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Inflation, Cosmic Perturbations and Non-Gaussianities
• Combining perturbation theories with halo models
• An accurate tool for the fast generation of dark matter halo catalogs
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• Revisiting non-Gaussianity from non-attractor inflation models
• Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
• Probing Parity-Violation with the Four-Point Correlation Function of BOSS Galaxies
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Heavy-Lifting of Gauge Theories By Cosmic Inflation
• Peak-Background Split, Renormalization, and Galaxy Clustering
• BINGO: A code for the efficient computation of the scalar bi-spectrum
• The CMB Bispectrum
• Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
• Forecasts on the Dark Energy and Primordial Non-Gaussianity Observations with the Tianlai Cylinder Array
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation
• Stochastic Bias from Non-Gaussian Initial Conditions
• Verifying the consistency relation for the scale-dependent bias from local primordial non-Gaussianity
• Consistently violating the non-Gaussian consistency relation
• Theory of non-Gaussianity in warm inflation
• The scalar bi-spectrum in the Starobinsky model: The equilateral case
• The 21cm bispectrum as a probe of non-Gaussianities due to X-ray heating
• Cosmological structure formation with clustering quintessence
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• The BINGO Project I: Baryon Acoustic Oscillations from Integrated Neutral Gas Observations
• The potential of X-ray cluster surveys to constrain primordial non-Gaussianity
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
• Non-Gaussianity in the Cosmic Microwave Background Anisotropies at Recombination in the Squeezed limit
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• Matter bispectrum in cubic Galileon cosmologies
• Efficient Evaluation of Cosmological Angular Statistics
• Maximal compression of the redshift space galaxy power spectrum and bispectrum
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Classical Cosmological Collider Physics and Primordial Features
• Landscape tomography through primordial non-Gaussianity
• Enhancing BOSS bispectrum cosmological constraints with maximal compression
• Observed parity-odd CMB temperature bispectrum
• Clipping the Cosmos: The Bias and Bispectrum of Large Scale Structure
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Testing statistics of the CMB B-mode polarization toward unambiguously establishing quantum fluctuation of vacuum
• Primordial non-Gaussianities after Planck 2015: an introductory review
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Quantifying the Redshift Space Distortion of the Bispectrum I: Primordial Non-Gaussianity
• Quantum origin of the primordial fluctuation spectrum and its statistics
• WMAP 7 Constraints on Oscillations in the Primordial Power Spectrum
• Spectroscopy of Masses and Couplings during Inflation
• Fast Estimation of Gravitational and Primordial Bispectra in Large Scale Structures
• Epoch of reionization parameter estimation with the 21-cm bispectrum
• Multi-Point Propagators for Non-Gaussian Initial Conditions
• Quantum Standard Clocks in the Primordial Trispectrum
• The Covariance of Squeezed Bispectrum Configurations
• Constraint of Void Bias on Primordial non-Gaussianity
• Strongly scale-dependent polyspectra from curvaton self-interactions
• Detecting the relativistic galaxy bispectrum
• On the redundancy of operators and the bispectrum in the most general second-order scalar-tensor theory
• Improving constraints on the reionization parameters using 21-cm bispectrum
• Reconstructing the Inflationary Landscape with Cosmological Data
• An Estimator for statistical anisotropy from the CMB bispectrum
• The Matter Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Primordial non-Gaussianities and zero bias tracers of the Large Scale Structure
• Characterisation of the non-Gaussianity of radio and IR point-sources at CMB frequencies
• The squeezed matter bispectrum covariance with responses
• All sky CMB map from cosmic strings integrated Sachs-Wolfe effect
• Examining the consistency relations describing the three-point functions involving tensors
• Universal Non-Gaussian Initial Conditions for N-body Simulations
• Impact of polarisation on the intrinsic CMB bispectrum
• First observational constraints on tensor non-Gaussianity sourced by primordial magnetic fields from cosmic microwave background
• Cosmic Birefringence: Cross-Spectra and Cross-Bispectra with CMB Anisotropies
• On the linear term correction for needlets/wavelets non-Gaussianity estimators
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Efficient optimal non-Gaussian CMB estimators with polarisation
• The tensor bi-spectrum in a matter bounce
• Curvature Perturbations from a Massive Vector Curvaton
• Constraining Scale-Dependent Non-Gaussianity with Future Large-Scale Structure and the CMB
• Inhomogeneous non-Gaussianity
• Quantifying the Redshift Space Distortion of the Bispectrum II: Induced Non-Gaussianity at Second Order Perturbation
• Cosmic Infrared Background anisotropies as a window into primordial non-Gaussianity
• General relativistic corrections and non-Gaussianity in large scale structure
• The BINGO Project V: Further steps in Component Separation and Bispectrum Analysis
• The Effect of Local non-Gaussianity on the Matter Bispectrum at Small Scales
• North-South non-Gaussian asymmetry in PLANCK CMB maps
• Non-Gaussianity of secondary anisotropies from ACTPol and Planck
• Intrinsic Bispectra of Cosmic Magnetic Fields
• Forecasts on the contamination induced by unresolved point sources in primordial non-Gaussianity beyond Planck
• Numerical evaluation of the three-point scalar-tensor cross-correlations and the tensor bi-spectrum
• CMB constraints on running non-Gaussianity
• Constraints on general primordial non-Gaussianity using wavelets for the Wilkinson Microwave anisotropy probe 7-year data
• Anatomy of bispectra in general single-field inflation -- modal expansions
• Robust predictions for an oscillatory bispectrum in Planck 2015 data from transient reductions in the speed of sound of the inflaton
• The scalar bi-spectrum during preheating in single field inflationary models
• Fast and realistic large-scale structure from machine-learning-augmented random field simulations
• The Komatsu Spergel Wandelt estimator for oscillations in the cosmic microwave background bispectrum
• Origin of structure: Statistical characterization of the primordial density fluctuations and the collapse of the wave function
• Searching for primordial non-Gaussianity in Planck CMB maps using a combined estimator
• Patchy Screening of the CMB from Dark Photons
• A Modal Approach to the Numerical Calculation of Primordial non-Gaussianities
• High-resolution CMB bispectrum estimator with flexible modal basis
• Observing relativistic features in large-scale structure surveys -- I: Multipoles of the power spectrum
• CMB bounds on tensor-scalar-scalar inflationary correlations
• CMB-S4 forecast on the primordial non-Gaussianity parameter of feature models
• A fast estimator for quantifying the shape dependence of the 3D bispectrum
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Non-Gaussian Shape Recognition
• Non-Gaussianities in a two-field generalization of Natural Inflation
• Imprints of local lightcone projection effects on the galaxy bispectrum IV: Second-order vector and tensor contributions
• Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• Embedding DBI inflation in scalar-tensor theory
• The pairwise velocity probability density function in models with local primordial non-Gaussianity
• The effect of the linear term on the wavelet estimator of primordial non-Gaussianity
• Quantifying the redshift space distortion of the bispectrum III : Detection prospects of the multipole moments
• Alternative approach to the Starobinsky model for inflation scenarios
• Joint Minkowski Functionals and Bispectrum Constraints on Non-Gaussianity in the CMB
• Kinetic Theory and Hydrodynamics of Cosmic Strings
• Cosmic Degeneracies III: N-body Simulations of Interacting Dark Energy with Non-Gaussian Initial Conditions
• Novel Possibility of Nonstandard Statistics in the Inflationary Spectrum of Primordial Inhomogeneities
• The gravitational and lensing-ISW bispectrum of 21cm radiation
• The integrated angular bispectrum
• Statistics of the excursion sets in models with local primordial non-Gaussianity
• Learning Physics at Future $e^{-}{e}^{+}$ Colliders with Machine
• Impact of Instrumental Systematics on the CMB Bispectrum
• Non-Gaussianity and CMB aberration and Doppler
• Non-Gaussianity in the Cosmic Microwave Background Induced by Dipolar Dark Matter
• Schwinger-Keldysh mechanism in extended quasi single field inflation
• Impact of astrophysical scatter on the Epoch of Reionization [H I]${}_{21cm}$ bispectrum
• Investigating the Origin of CMB Large-Scale Features Using LiteBIRD and CMB-S4
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
• Brisk estimator for the angular multipoles of the redshift space bispectrum
• Constraints on primordial non-Gaussianity using multitracer technique for skew spectrum
• Bispectrum constraints on Primordial non-Gaussianities with the eBOSS DR16 quasars
• Fluid Mechanics of Strings
• The size and shape dependence of the SDSS galaxy bispectrum
• Non-Gaussianities as a Signature of Quantumness of Quantum Cosmology
• CMB bispectrum constraints on DHOST inflation
• Non-Gaussianity of Tensor Induced Density Perturbations
• Modes of the Dark Ages 21cm field accessible to a lunar radio interferometer
• The scalar-scalar-tensor inflationary three-point function in the axion monodromy model
• From ANN to BNN: Inferring Reionization Parameters using Uncertainty-aware Emulators of 21-cm Summaries
• $\delta N$ formalism with gradient interactions
• Skew-spectra: a generalization to spin-$s$
• Non-Gaussian Signatures of a Thermal Big Bang
• Enhancing Bispectrum Estimators for Galaxy Redshift Surveys with Velocities