Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias

Abstract

We present a method to produce mock galaxy catalogues with efficient perturbation theory schemes, which match the number density, power spectra and bispectra in real and in redshift space from N-body simulations. The essential contribution of this work is the way in which we constrain the bias parameters in the PATCHY-code. In addition of aiming at reproducing the two-point statistics, we seek the set of bias parameters, which constrain the univariate halo probability distribution function (PDF) encoding higher-order correlation functions. We demonstrate that halo catalogues based on the same underlying dark matter field with a fix halo number density, and accurately matching the power spectrum (within 2%), can lead to very different bispectra depending on the adopted halo bias model. A model ignoring the shape of the halo PDF can lead to deviations up to factors of 2. The catalogues obtained additionally constraining the shape of the halo PDF can significantly lower the discrepancy in the three-point statistics, yielding closely unbiased bispectra both in real and in redshift space; which are in general compatible with those corresponding to an N-body simulation within 10% (deviating at most up to 20%). Our calculations show that the constant linear bias of ~2 for Luminous Red Galaxy (LRG) like galaxies seen in the power spectrum, mainly comes from sampling halos in high density peaks, choosing a high density threshold rather than from a factor multiplying the dark matter density field. Our method contributes towards an efficient modelling of the halo/galaxy distribution required to estimate uncertainties in the clustering measurements from galaxy redshift surveys. We have also demonstrated that it represents a powerful tool to test various bias models.

arXiv comment10 pages, 5 figures

References in corpus (68)

• The cosmological simulation code GADGET-2
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• An analytic model for the spatial clustering of dark matter haloes
• Analytic model for galaxy and dark matter clustering
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Halo concentrations in the standard LCDM cosmology
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• Biasing and Hierarchical Statistics in Large-scale Structure
• Haloes gone MAD: The Halo-Finder Comparison Project
• Stochastic Nonlinear Galaxy Biasing
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues
• Gravity and Large-Scale Non-local Bias
• Power Spectrum Super-Sample Covariance
• The clustering of massive galaxies at z~0.5 from the first semester of BOSS data
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• Correcting for the alias effect when measuring the power spectrum using FFT
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Power Spectrum Covariance of Weak Gravitational Lensing
• Large-scale bias in the Universe: bispectrum method
• PTHalos: A fast method for generating mock galaxy distributions
• Mock galaxy catalogs using the quick particle mesh method
• Halo Stochasticity from Exclusion and non-linear Clustering
• Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
• The Bispectrum of IRAS Galaxies
• Non-linear Stochastic Galaxy Biasing in Cosmological Simulations
• 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
• Biasing and the distribution of dark matter haloes
• An accurate tool for the fast generation of dark matter halo catalogs
• Combining perturbation theories with halo models
• Bayesian reconstruction of the cosmological large-scale structure: methodology, inverse algorithms and numerical optimization
• The clustering of galaxies at z~0.5 in the SDSS-III Data Release 9 BOSS-CMASS sample: a test for the LCDM cosmology
• Fast Hamiltonian sampling for large scale structure inference
• The Correlation Function of Clusters of Galaxies and the Amplitude of Mass Fluctuations in the Universe
• The Initial Conditions of the Universe from Constrained Simulations
• Cosmological Structure Formation with Augmented Lagrangian Perturbation Theory
• The Horizon Run N-body Simulation: Baryon Acoustic Oscillations and Topology of Large Scale Structure of the Universe
• Predicting the number, spatial distribution and merging history of dark matter haloes
• Large-scale bias in the Universe II: redshift space bispectrum
• On the Distribution of Haloes, Galaxies and Mass
• Bias and high-order galaxy correlation functions in the APM Galaxy Survey
• Measuring the growth of matter fluctuations with third-order galaxy correlations
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• The Three-point Function as a Probe of Models for Large-scale Structure
• Recovering the nonlinear density field from the galaxy distribution with a Poisson-Lognormal filter
• A halo bias function measured deeply into voids without stochasticity
• Statistics of extreme objects in the Juropa Hubble Volume simulation
• Multiscale Inference of Matter Fields and Baryon Acoustic Oscillations from the Ly-alpha Forest
• Reconstructing the distribution of haloes and mock galaxies below the resolution limit in cosmological simulations
• The spatial and velocity bias of linear density peaks and proto-haloes in the Lambda cold dark matter cosmology
• Quantifying distortions of the Lagrangian dark-matter mesh in cosmology
• Measuring the Nonlinear Biasing Function from a Galaxy Redshift Survey
• Fast generation of ensembles of cosmological N-body simulations via mode-resampling
• The pairwise velocity dispersion of galaxies: luminosity dependence and a new test of galaxy formation models
• On Recovering the Nonlinear Bias Function from Counts in Cells Measurements
• Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales II: Perturbative and numerical analyses of power spectrum and bispectrum
• Extending the halo mass resolution of $N$-body simulations
• Non-Gaussian gravitational clustering field statistics
• Effects of biasing on the galaxy power spectrum at large scales
• VIPERS: An Unprecedented View of Galaxies and Large-Scale Structure Halfway Back in the Life of the Universe

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• ICE-COLA: Towards fast and accurate synthetic galaxy catalogues optimizing a quasi $N$-body method
• Precision analysis of the redshift-space galaxy bispectrum
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• Comparing approximate methods for mock catalogues and covariance matrices I: correlation function
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
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• Signatures of the Primordial Universe from Its Emptiness: Measurement of Baryon Acoustic Oscillations from Minima of the Density Field
• A Lightcone Catalogue from the Millennium-XXL Simulation
• The Clustering of Galaxies in the Completed SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from DR12 galaxy clustering -- towards an accurate model
• COSMIC BIRTH: Efficient Bayesian Inference of the Evolving Cosmic Web from Galaxy Surveys
• Constraining the Baryon-Dark Matter Relative Velocity with the Large-Scale 3-Point Correlation Function of the SDSS BOSS DR12 CMASS Galaxies
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• BIRTH of the COSMOS Field: Primordial and Evolved Density Reconstructions During Cosmic High Noon
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• A map-based method for eliminating systematic modes from galaxy clustering power spectra with application to BOSS
• Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
• Hunting down systematics in baryon acoustic oscillations after cosmic high noon
• The halo light cone catalogues of \Abacus{AbacusSummit}
• The Clustering of Galaxies in the Completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmic Flows and Cosmic Web from Luminous Red Galaxies
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• Robustness of the covariance matrix for galaxy clustering measurements
• Mapping Lyman-alpha forest three-dimensional large scale structure in real and redshift space
• Bayesian redshift-space distortions correction from galaxy redshift surveys
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Shape of the Matter Power Spectrum
• $\text{PineTree}$: A generative, fast, and differentiable halo model for wide-field galaxy surveys
• Non-linear Structure Formation for Dark Energy Models with a Steep Equation of State
• Cosmic void exclusion models and their impact on the distance scale measurements from large scale structure
• Covariance matrices for variance-suppressed simulations
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Angular Correlation Function from sample covariance with BOSS and eBOSS LRG
• Fast simulation mapping: from standard to modified gravity cosmologies using the bias assignment method
• Approximate methods for the generation of dark matter halo catalogs in the age of precision cosmology
• Halo mass distribution reconstruction across the cosmic web
• Differentiable Fuzzy Cosmic-Web for Field Level Inference