Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions

Abstract

Primordial non-Gaussianity introduces a scale-dependent variation in the clustering of density peaks corresponding to rare objects. This variation, parametrized by the bias, is investigated on scales where a linear perturbation theory is sufficiently accurate. The bias is obtained directly in real space by comparing the one- and two-point probability distributions of density fluctuations. We show that these distributions can be reconstructed using a bivariate Edgeworth series, presented here up to an arbitrarily high order. The Edgeworth formalism is shown to be well-suited for 'local' cubic-order non-Gaussianity parametrized by g_NL. We show that a strong scale-dependence in the bias can be produced by g_NL of order 10,000, consistent with CMB constraints. On correlation length of ~100 Mpc, current constraints on g_NL still allow the bias for the most massive clusters to be enhanced by 20-30% of the Gaussian value. We further examine the bias as a function of mass scale, and also explore the relationship between the clustering and the abundance of massive clusters in the presence of g_NL. We explain why the Edgeworth formalism, though technically challenging, is a very powerful technique for constraining high-order non-Gaussianity with large-scale structures.

arXiv comment16 pages, 7 figures, submitted to Phys. Rev. D

References in corpus (37)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Baryonic Features in the Matter Transfer Function
• Non-Gaussianity from Inflation: Theory and Observations
• DBI in the Sky
• 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
• Primordial Non-Gaussianities from Inflation Models
• Ghost Inflation
• Non-Gaussianity of the primordial perturbation in the curvaton model
• The effect of primordial non-Gaussianity on halo bias
• Expansions for nearly Gaussian distributions
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• On Non-Gaussianity in the Curvaton Scenario
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• Running Non-Gaussianities in DBI Inflation
• Review of local non-Gaussianity from multi-field inflation
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
• Large non-Gaussianity in multiple-field inflation
• Primordial non-Gaussianity from the large scale structure
• Weakly Non-Linear Gaussian Fluctuations and the Edgeworth Expansion
• 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
• A generalized local ansatz and its effect on halo bias
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• Non-Gaussianity and the Cosmic Microwave Background Anisotropies
• Non-Gaussianity from Large-Scale Structure Surveys
• Constraints on f_nl and g_nl from the analysis of the N-pdf of the CMB large scale anisotropies
• Excursion Sets and Non-Gaussian Void Statistics
• Halo abundances in the f_{nl} model
• A Study of High-Order Non-Gaussianity with Applications to Massive Clusters and Large Voids
• A Bayesian estimate of the skewness of the Cosmic Microwave Background
• The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances
• Redshift-Space Enhancement of Line-of-Sight Baryon Acoustic Oscillations in the SDSS Main-Galaxy Sample
• Precision Measurements of Higher-Order Angular Galaxy Correlations Using 11 Million SDSS Galaxies
• Finite volume effects for non-Gaussian multi-field inflationary models
• Evolution of peaks in weakly nonlinear density field and dark halo profiles
• The dependence of cosmological parameters estimated from the microwave background on non-gaussianity

Cited by in corpus (9)

• CLASH: Precise New Constraints on the Mass Profile of Abell 2261
• Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Primordial Non-Gaussianity and Extreme-Value Statistics of Galaxy Clusters
• The 21cm radiation from minihalos as a probe of small primordial non-Gaussianity
• Modification of the halo mass function by kurtosis associated with 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 primordial non-Gaussianity with a Gaussian-squared field
• The Lyman-alpha Forest as a tool for disentangling non-Gaussianities