Scale-Dependent Non-Gaussianity as a Generalization of the Local Model

Abstract

We generalize the local model of primordial non-Gaussianity by promoting the parameter fNL to a general scale-dependent function fNL(k). We calculate the resulting bispectrum and the effect on the bias of dark matter halos, and thus the extent to which fNL(k) can be measured from the large-scale structure observations. By calculating the principal components of fNL(k), we identify scales where this form of non-Gaussianity is best constrained and estimate the overlap with previously studied local and equilateral non-Gaussian models.

Accepted to JCAP. 22 pages, 4 figures

References in corpus (63)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Generating the curvature perturbation without an inflaton
• Non-Gaussianity from Inflation: Theory and Observations
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Nongaussian Isocurvature Perturbations from Inflation
• Second-Order Cosmological Perturbations from Inflation
• The inflationary prediction for primordial non-gaussianity
• Primordial Non-Gaussianities from Inflation Models
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• The shape of non-Gaussianities
• Constraints on local primordial non-Gaussianity from large scale structure
• Measuring cosmological parameters with galaxy surveys
• Primordial non-gaussianities in single field inflation
• The effect of primordial non-Gaussianity on halo bias
• Large-scale structure, the cosmic microwave background, and primordial non-gaussianity
• Large Non-Gaussianities in Single Field Inflation
• Parameterization of Dark-Energy Properties: a Principal-Component Approach
• Primordial non-gaussianities from multiple-field inflation
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• On non-gaussianities in single-field inflation
• Non-Gaussianities in models with a varying inflaton decay rate
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• Running Non-Gaussianities in DBI Inflation
• 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
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• The Cosmic Microwave Background Bispectrum and Inflation
• Review of local non-Gaussianity from multi-field inflation
• Probing String Theory with Modulated Cosmological Fluctuations
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Non-Gaussian halo bias and future galaxy surveys
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Constraining Running Non-Gaussianity
• Scale-dependent non-Gaussianity probes inflationary physics
• Detectability of the effect of Inflationary non-Gaussianity on halo bias
• Local non-Gaussianity from inflation
• Scale dependence of local f_NL
• 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
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• A generalized local ansatz and its effect on halo bias
• Findings of the Joint Dark Energy Mission Figure of Merit Science Working Group
• Testing Primordial Non-Gaussianity in CMB Anisotropies
• Evolution of Massive Haloes in non-Gaussian Scenarios
• Primordial non-Gaussianity from the covariance of galaxy cluster counts
• Scale-dependence of Non-Gaussianity in the Curvaton Model
• Large Scale Structure
• Testing for Gaussianity Through the Three Point Temperature Correlation Function
• Scale Dependent Local Non-Gaussianity from Loops
• Strongly Scale-dependent Non-Gaussianity
• Negative spectral index of $f_{NL}$ in the axion-type curvaton model
• Parameterizing the Power Spectrum: Beyond the Truncated Taylor Expansion
• Scale dependence of $f_{NL}$ in N-flation

Cited by in corpus (30)

• DESI and other dark energy experiments in the era of neutrino mass measurements
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• A generalized local ansatz and its effect on halo bias
• Cosmological Measurements with General Relativistic Galaxy Correlations
• Non-Gaussianity in Two-Field Inflation
• N-body simulations with generic non-Gaussian initial conditions II: Halo bias
• Probing the scale dependence of non-Gaussianity with spectral distortions of the cosmic microwave background
• High-redshift JWST Observations and Primordial Non-Gaussianity
• Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias
• Large non-Gaussian Halo Bias from Single Field Inflation
• Constraining the initial conditions of the Universe using large scale structure
• Strongly scale-dependent polyspectra from curvaton self-interactions
• First constraints on the running of non-Gaussianity
• Runnings in the Curvaton
• General formula for the running of local fNL
• Constraining Scale-Dependent Non-Gaussianity with Future Large-Scale Structure and the CMB
• Black hole formation and growth with non-Gaussian primordial density perturbations
• Optimization of spectroscopic surveys for testing non-Gaussianity
• Effect of primordial non-Gaussianities on the far-UV luminosity function of high-redshift galaxies: implications for cosmic reionization
• Non-Gaussian Shape Recognition
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations
• A weak lensing view on primordial non-Gaussianities
• Testing primordial non-Gaussianities on galactic scales at high redshift
• Non-Gaussianity from Compositeness
• Scale dependences of local form non-Gaussianity parameters from a DBI isocurvature field
• Spectral index and running of $g_{NL}$ from an isocurvature scalar field