Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding

Abstract

Recent results of N-body simulations have shown that current theoretical models are not able to correctly predict the amplitude of the scale-dependent halo bias induced by primordial non-Gaussianity, for models going beyond the simplest, local quadratic case. Motivated by these discrepancies, we carefully examine three theoretical approaches based on (1) the statistics of thresholded regions, (2) a peak-background split method based on separation of scales, and (3) a peak-background split method using the conditional mass function. We first demonstrate that the statistics of thresholded regions, which is shown to be equivalent at leading order to a local bias expansion, cannot explain the mass-dependent deviation between theory and N-body simulations. In the two formulations of the peak-background split on the other hand, we identify an important, but previously overlooked, correction to the non-Gaussian bias that strongly depends on halo mass. This new term is in general significant for any primordial non-Gaussianity going beyond the simplest local fNL model. In a separate paper, we compare these new theoretical predictions with N-body simulations, showing good agreement for all simulated types of non-Gaussianity.

26 pages, 3 figures (v2): minor changes from (v1). matches published version

References in corpus (17)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Cosmology and the Bispectrum
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• How to suppress the shot noise in galaxy surveys
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• A generalized local ansatz and its effect on halo bias
• Curvaton Dynamics and the Non-Linearity Parameters in Curvaton Model
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
• Optimal dataset combining in f_nl constraints from large scale structure in an idealised case
• A Study of High-Order Non-Gaussianity with Applications to Massive Clusters and Large Voids
• Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions

Cited by in corpus (76)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Large-Scale Galaxy Bias
• Large-scale clustering of galaxies in general relativity
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• The X-ray cluster survey with eROSITA: forecasts for cosmology, cluster physics and primordial non-Gaussianity
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Scale-dependent bias of galaxies and mu-type distortion of the cosmic microwave background spectrum from single-field inflation with a modified initial state
• Galaxy Bias and Primordial Non-Gaussianity
• Peak-Background Split, Renormalization, and Galaxy Clustering
• Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
• On Squeezed Limits in Single-Field Inflation - Part I
• Galaxy Bispectrum from Massive Spinning Particles
• Cosmological Measurements with General Relativistic Galaxy Correlations
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Stochastic Bias from Non-Gaussian Initial Conditions
• Using correlations between CMB lensing and large-scale structure to measure primordial non-Gaussianity
• Line intensity mapping with [CII] and CO(1-0) as probes of primordial non-Gaussianity
• Prospects for constraining the shape of non-Gaussianity with the scale-dependent bias
• Deriving an Accurate Formula of Scale-dependent Bias with Primordial Non-Gaussianity: An Application of the Integrated Perturbation Theory
• Forecasts on Primordial non-Gaussianity from 21 cm Intensity Mapping experiments
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Scale-Dependent Galaxy Bias from Massive Particles with Spin during Inflation
• Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Halo clustering and g_{NL}-type primordial non-Gaussianity
• Using Large Scale Structure to test Multifield Inflation
• Large non-Gaussian Halo Bias from Single Field Inflation
• Relativistic wide-angle galaxy bispectrum on the light-cone
• Fast Estimation of Gravitational and Primordial Bispectra in Large Scale Structures
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Biasing and the search for primordial non-Gaussianity beyond the local type
• Constraining the initial conditions of the Universe using large scale structure
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers
• Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Lagrangian bias of generic large-scale structure tracers
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Primordial Non-Gaussianity Estimation using 21 cm Tomography from the Epoch of Reionization
• Constraining Scale-Dependent Non-Gaussianity with Future Large-Scale Structure and the CMB
• Probing primordial non-Gaussianity with the power spectrum and bispectrum of future 21cm intensity maps
• Light Fields during Inflation from BOSS and Future Galaxy Surveys
• The Effect of Local non-Gaussianity on the Matter Bispectrum at Small Scales
• Gas distribution, metal enrichment, and baryon fraction in Gaussian and non-Gaussian universes
• The WiggleZ Dark Energy Survey: Probing the Epoch of Radiation Domination using Large Scale Structure
• On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing
• Constraints on Primordial non-Gaussianity from Future HI Intensity Mapping Experiments
• Non-Gaussianity and Excursion Set Theory: Halo Bias
• Optimization of spectroscopic surveys for testing non-Gaussianity
• Oscillating Bispectra and Galaxy Clustering: A Novel Probe of Inflationary Physics with Large-Scale Structure
• The scale-dependent signature of primordial non-Gaussianity in the large-scale structure of cosmic reionization
• Perturbation theory for nonlinear halo power spectrum: the renormalized bias and halo bias
• Non-Gaussian bias: insights from discrete density peaks
• Testing Multi-Field Inflation with Galaxy Bias
• Halo statistics in non-Gaussian cosmologies: the collapsed fraction, conditional mass function, and halo bias from the path-integral excursion set method
• Scale-dependent bias from multiple-field inflation
• Probing higher-order primordial non-Gaussianity with galaxy surveys
• Power Spectrum and Non-Gaussianities in Anisotropic Inflation
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• Non-Gaussian Halo Bias Beyond the Squeezed Limit
• Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations
• Scale-dependent bias from the primordial non-Gaussianity with a Gaussian-squared field
• Constraints on Running of Non-Gaussianity from Large Scale Structure Probes
• Removing Interlopers From Intensity Mapping Probes Of Primordial Non-Gaussianity
• The effect of finite halo size on the clustering of neutral hydrogen
• Tidal shear and the consistency of microscopic Lagrangian halo approaches
• Higher moments of primordial non-Gaussianity and N-body simulations
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• Projected two- and three-point statistics: Forecasts and mitigation of non-linear RSDs
• The Lyman-alpha Forest as a tool for disentangling non-Gaussianities
• Quijote PNG: The information content of the halo power spectrum and bispectrum