The Power of Locality: Primordial Non-Gaussianity at the Map Level

Abstract

Primordial non-Gaussianity is a sensitive probe of the inflationary era, with a number of important theoretical targets living an order of magnitude beyond the reach of current CMB constraints. Maps of the large-scale structure of the universe, in principle, have the raw statistical power to reach these targets, but the complications of nonlinear evolution are thought to present serious, if not insurmountable, obstacles to reaching these goals. In this paper, we will argue that the challenge presented by nonlinear structure formation has been overstated. The information encoded in primordial non-Gaussianity resides in nonlocal correlations of the density field at three or more points separated by cosmological distances. In contrast, nonlinear evolution only alters the density field locally and cannot create or destroy these long-range correlations. This locality property of the late-time non-Gaussianity is obscured in Fourier space and in the standard bispectrum searches for primordial non-Gaussianity. We therefore propose to measure non-Gaussianity in the position space maps of the large-scale structure. As a proof of concept, we study the case of equilateral non-Gaussianity, for which the degeneracy with late-time nonlinearities is the most severe. We show that a map-level analysis is capable of breaking this degeneracy and thereby significantly improve the constraining power over previous estimates. Our findings suggest that "simulation-based inference" involving the forward modeling of large-scale structure maps has the potential to dramatically impact the search for primordial non-Gaussianity.

arXiv comment44 pages, 8 figures

References in corpus (92)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• DBI in the Sky
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Cosmology and Fundamental Physics with the Euclid Satellite
• 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
• Bulk Locality and Quantum Error Correction in AdS/CFT
• Single field consistency relation for the 3-point function
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Primordial Non-Gaussianities from Inflation Models
• Quasi-Single Field Inflation and Non-Gaussianities
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• The shape of non-Gaussianities
• On graviton non-Gaussianities during inflation
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The effect of primordial non-Gaussianity on halo bias
• Limits on non-Gaussianities from WMAP data
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• Measuring primordial non-gaussianity without cosmic variance
• Signatures of Supersymmetry from the Early Universe
• On Soft Limits of Inflationary Correlation Functions
• Testing cosmological structure formation using redshift-space distortions
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• On non-gaussianities in single-field inflation
• A Natural Language for AdS/CFT Correlators
• Effective field theory approach to quasi-single field inflation and effects of heavy fields
• Non-Gaussianity as a Particle Detector
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Renormalized Halo Bias
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Cosmology with the SPHEREX All-Sky Spectral Survey
• The Bispectrum: From Theory to Observations
• The Effective Field Theory of Large Scale Structures at Two Loops
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Cosmology from large-scale structure: Constraining $\Lambda$CDM with BOSS
• Local bulk S-matrix elements and CFT singularities
• Constraining primordial non-Gaussianity with future galaxy surveys
• Holography in the Flat Space Limit
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Primordial non-Gaussianity from the large scale structure
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Signs of Analyticity in Single-Field Inflation
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Modeling Biased Tracers at the Field Level
• Estimating non-gaussianity in the microwave background
• Dissipative effects in the Effective Field Theory of Inflation
• Algorithms for bispectra: forecasting, optimal analysis, and simulation
• Non-gaussianity in fluctuations from warm inflation
• Halo Clustering with Non-Local Non-Gaussianity
• Galaxy Bias and Primordial Non-Gaussianity
• The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures
• Optimal Estimation of Non-Gaussianity
• The large-scale 3-point correlation function of the SDSS BOSS DR12 CMASS galaxies
• Iterative initial condition reconstruction
• CMB polarization as a direct test of Inflation
• Estimators for local non-Gaussianities
• A generalized local ansatz and its effect on halo bias
• Precision analysis of the redshift-space galaxy bispectrum
• Signals of a Quantum Universe
• Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies II: cosmological interpretation
• Distinguishing Causal Seeds from Inflation
• Coherent Phase Argument for Inflation
• Stochastic Bias from Non-Gaussian Initial Conditions
• Modeling Galaxies in Redshift Space at the Field Level
• Cosmological constraints without fingers of God
• Designing an Inflation Galaxy Survey: how to measure $\sigma (f_{\mathrm{NL}})\sim 1$ using scale-dependent galaxy bias
• B-modes and the Nature of Inflation
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Prospects for constraining the shape of non-Gaussianity with the scale-dependent bias
• The Effective Field Theory of Large Scale Structure at Three Loops
• FlowPM: Distributed TensorFlow Implementation of the FastPM Cosmological N-body Solver
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Unbiased Cosmology Inference from Biased Tracers using the EFT Likelihood
• Lossless, Scalable Implicit Likelihood Inference for Cosmological Fields
• Learning effective physical laws for generating cosmological hydrodynamics with Lagrangian Deep Learning
• Biasing and the search for primordial non-Gaussianity beyond the local type
• The EFT Likelihood for Large-Scale Structure
• Constraining the initial conditions of the Universe using large scale structure
• Cosmic Shear: Inference from Forward Models
• The two-loop bispectrum of large-scale structure
• Higher N-point function data analysis techniques for heavy particle production and WMAP results
• The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders
• Precise Calibration of the One-Loop Trispectrum in the Effective Field Theory of Large Scale Structure
• Lifting Primordial Non-Gaussianity Above the Noise
• The EFT Likelihood for Large-Scale Structure in Redshift Space
• Matter bispectrum of large-scale structure with Gaussian and non-Gaussian initial conditions: Halo models, perturbation theory, and a three-shape model
• Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency

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• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear dark matter density field
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