Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres

Abstract

Non-Gaussianities of dynamical origin are disentangled from primordial ones using the formalism of large deviation statistics with spherical collapse dynamics. This is achieved by relying on accurate analytical predictions for the one-point probability distribution function (PDF) and the two-point clustering of spherically-averaged cosmic densities (sphere bias). Sphere bias extends the idea of halo bias to intermediate density environments and voids as underdense regions. In the presence of primordial non-Gaussianity, sphere bias displays a strong scale dependence relevant for both high and low density regions, which is predicted analytically. The statistics of densities in spheres are built to model primordial non-Gaussianity via an initial skewness with a scale-dependence that depends on the bispectrum of the underlying model. The analytical formulas with the measured nonlinear dark matter variance as input are successfully tested against numerical simulations. For local non-Gaussianity with a range from $f_{\mathrm{NL}}=-100$ to $+100$ they are found to agree within 2\% or better for densities $\rho \in [0.5,3]$ in spheres of radius 15 Mpc$/h$ down to $z=0.35$. The validity of the large deviation statistics formalism is thereby established for all observationally relevant local-type departures from perfectly Gaussian initial conditions. The corresponding estimators for the amplitude of the nonlinear variance ${\sigma }_8$ and primordial skewness $f_{\mathrm{NL}}$ are validated using a fiducial joint maximum likelihood experiment. The influence of observational effects and the prospects for a future detection of primordial non-Gaussianity from joint one- and two-point densities-in-spheres statistics are discussed.

arXiv comment18 pages, 10 figures

References in corpus (124)

• The cosmological simulation code GADGET-2
• The large deviation approach to statistical mechanics
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• GADGET: A code for collisionless and gasdynamical cosmological simulations
• Non-Gaussianity from Inflation: Theory and Observations
• Euclid Definition Study Report
• LSST Science Book, Version 2.0
• Cosmology and fundamental physics with the Euclid satellite
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Large-Scale Galaxy Bias
• Transients from Initial Conditions in Cosmological Simulations
• Cosmological Non-Linearities as an Effective Fluid
• Primordial Non-Gaussianities from Inflation Models
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Constraints on local primordial non-Gaussianity from large scale structure
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The effect of primordial non-Gaussianity on halo bias
• The DESI Experiment, a whitepaper for Snowmass 2013
• Measuring primordial non-gaussianity without cosmic variance
• CMB-S4 Science Book, First Edition
• Transients from Initial Conditions: A Perturbative Analysis
• Expansions for nearly Gaussian distributions
• The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• 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
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• Halo mass function and scale-dependent bias from N-body simulations with non-Gaussian initial conditions
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Photometric redshift analysis in the Dark Energy Survey Science Verification data
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Constraining primordial non-Gaussianity with future galaxy surveys
• Inflationary models inducing non-Gaussian metric fluctuations
• Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• An excursion set model for the distribution of dark matter and dark matter haloes
• 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
• Going beyond the Kaiser redshift-space distortion formula: a full general relativistic account of the effects and their detectability in galaxy clustering
• Testing General Relativity on Horizon Scales and the Primordial non-Gaussianity
• Constraining Running Non-Gaussianity
• Combining perturbation theories with halo models
• Disentangling non-Gaussianity, bias and GR effects in the galaxy distribution
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• The Nonlinear Evolution of Rare Events
• Properties of the Cosmological Density Distribution Function
• Weakly Non-Linear Gaussian Fluctuations and the Edgeworth Expansion
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Halo Clustering with Non-Local Non-Gaussianity
• Signature of primordial non-Gaussianity of phi^3-type in the mass function and bias of dark matter haloes
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• Estimators for local non-Gaussianities
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• A generalized local ansatz and its effect on halo bias
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding
• Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
• Dynamics of gravitational clustering II. Steepest-descent method for the quasi-linear regime
• The Void Abundance with Non-Gaussian Primordial Perturbations
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• Accurate Predictions for the Scale-Dependent Galaxy Bias from Primordial Non-Gaussianity
• Combining clustering and abundances of galaxy clusters to test cosmology and primordial non-Gaussianity
• Primordial non-Gaussianity in the large scale structure of the Universe
• Using correlations between CMB lensing and large-scale structure to measure primordial non-Gaussianity
• The potential of X-ray cluster surveys to constrain primordial non-Gaussianity
• On the trispectrum as a gaussian test for cosmology
• Strong clustering of underdense regions and the environmental dependence of clustering from Gaussian initial conditions
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Nonlinear clustering in models with primordial non-Gaussianity: the halo model approach
• Implications for Primordial Non-Gaussianity (f_NL) from weak lensing masses of high-z galaxy clusters
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Halo clustering and g_{NL}-type primordial non-Gaussianity
• Non-Gaussianity from Large-Scale Structure Surveys
• Primordial non-Gaussianities after Planck 2015: an introductory review
• The mass density field in simulated non-Gaussian scenarios
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Statistics of cosmic density profiles from perturbation theory
• Extended Perturbation Theory for the Local Density Distribution Function
• Excursion Sets and Non-Gaussian Void Statistics
• An Improved Calculation of the Non-Gaussian Halo Mass Function
• Halo abundances in the f_{nl} model
• Biasing and the search for primordial non-Gaussianity beyond the local type
• Mass function and bias of dark matter halos for non-Gaussian initial conditions
• Multi-Point Propagators for Non-Gaussian Initial Conditions
• Gravitational Clustering from Chi^2 Initial Conditions
• Skewness as a probe of non-Gaussian initial conditions
• Einstein's signature in cosmological large-scale structure
• A Large Deviation Principle at play in Large-Scale Structure cosmology
• Kurtosis in Large-Scale Structure as a Constraint on Non-Gaussian Initial Conditions
• Cosmological Perturbation Theory and the Spherical Collapse Model - II. Non-Gaussian initial conditions
• LSS constraints with controlled theoretical uncertainties
• The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances
• Encircling the dark: constraining dark energy via cosmic density in spheres
• Mass functions and bias of dark matter halos
• Higher order moments of the density field in a parameterized sequence of non-gaussian theories
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• Constraining Scale-Dependent Non-Gaussianity with Future Large-Scale Structure and the CMB
• The large-scale correlations of multi-cell densities and profiles, implications for cosmic variance estimates
• The joint statistics of mildly non-linear cosmological densities and slopes in count-in-cells
• The excursion set approach in non-Gaussian random fields
• Non-Gaussianity and Excursion Set Theory: Halo Bias
• Lifting Primordial Non-Gaussianity Above the Noise
• Non-Gaussian halo abundances in the excursion set approach with correlated steps
• The Mass Function of Void Groups as a Probe of the Primordial non-Gaussianity
• Beyond Kaiser bias: mildly non-linear two-point statistics of densities in distant spheres
• Can we really measure fnl from the galaxy power spectrum?
• Matter bispectrum of large-scale structure with Gaussian and non-Gaussian initial conditions: Halo models, perturbation theory, and a three-shape model
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field
• Large scale clustering from Non-Gaussian texture models
• Dynamics of gravitational clustering III. The quasi-linear regime for some non-Gaussian initial conditions
• Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• The pairwise velocity probability density function in models with local primordial non-Gaussianity
• Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations
• Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions
• Imprint of primordial non-Gaussianity on dark matter halo profiles
• Void bias from primordial non-Gaussianities

Cited by in corpus (31)

• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Nuw CDM cosmology from the weak lensing convergence PDF
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
• Quijote-PNG: Simulations of primordial non-Gaussianity and the information content of the matter field power spectrum and bispectrum
• Bayesian field-level inference of primordial non-Gaussianity using next-generation galaxy surveys
• Constraint of Void Bias on Primordial non-Gaussianity
• Non-perturbative probability distribution function for cosmological counts in cells
• Non-Gaussianity Constraints using Future Radio Continuum Surveys and the Multi-Tracer Technique
• Probability distribution function of the aperture mass field with large deviation theory
• Cylinders out of a top hat: counts-in-cells for projected densities
• Euclid: Cosmology forecasts from the void-galaxy cross-correlation function with reconstruction
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear dark matter density field
• Fisher Forecasts for Primordial non-Gaussianity from Persistent Homology
• The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise
• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Cosmology with Persistent Homology: a Fisher Forecast
• Post-Born corrections to the one-point statistics of (CMB) lensing convergence obtained via large deviation theory
• Reconstructing Probability Distributions with Gaussian Processes
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Extreme Spheres: Counts-in-cells for 21cm intensity mapping
• Cosmic Reionization on Computers: Physical Origin of Long Dark Gaps in Quasar Absorption Spectra
• Characteristic Functions for Cosmological Cross-Correlations
• Capturing primordial non-Gaussian signatures in the late Universe by multi-scale extrema of the cosmic log-density field
• The cumulant generating function as a novel observable to cumulate weak lensing information
• The large-scale structure from non-Gaussian primordial perturbations
• Abundance of peaks and dips in three-dimensional mass and halo density fields: a test for cosmology
• Bounds on galaxy stochasticity from halo occupation distribution modeling
• Precision calculation of the EFT likelihood with primordial non-Gaussianities
• Quijote PNG: The information content of the halo power spectrum and bispectrum