Bounds on galaxy stochasticity from halo occupation distribution modeling

Abstract

The joint probability distribution of matter overdensity and galaxy counts in cells is a powerful probe of cosmology, and the extent to which variance in galaxy counts at fixed matter density deviates from Poisson shot noise is not fully understood. The lack of informed bounds on this stochasticity is currently the limiting factor in constraining cosmology with the galaxy-matter PDF. We investigate stochasticity in the conditional distribution of galaxy counts at fixed matter density and present a halo occupation distribution (HOD)-based approach for obtaining plausible ranges for stochasticity parameters. To probe the high-dimensional space of possible galaxy-matter connections, we derive HODs which conserve linear galaxy bias and number density to produce redMaGiC-like galaxy catalogs within the AbacusSummit suite of N-body simulations. We study the impact of individual HOD parameters and cosmology on stochasticity and perform a Monte Carlo search in HOD parameter space, subject to the constraints on bias and density. In mock catalogs generated by the selected HODs, shot noise in galaxy counts spans both sub-Poisson and super-Poisson values, ranging from 80% to 133% of Poisson variance at mean matter density. Nearly all derived HODs show a positive relationship between local matter density and stochasticity. For galaxy catalogs with higher stochasticity, quadratic galaxy bias is required for an accurate description of the conditional PDF of galaxy counts at fixed matter density. The presence of galaxy assembly bias also substantially extends the range of stochasticity in the super-Poisson direction. This HOD-based approach leverages degrees of freedom in the galaxy-halo connection to obtain informed bounds on model nuisance parameters and can be adapted to other parametrizations of stochasticity, in particular to motivate prior ranges for cosmological analyses.

arXiv commentSubmitted to Astronomy and Astrophysics

References in corpus (86)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• The Structure of Cold Dark Matter Halos
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Observational Probes of Cosmic Acceleration
• Concentrations of Dark Halos from their Assembly Histories
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Halo occupation numbers and galaxy bias
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
• Large-Scale Galaxy Bias
• The Connection between Galaxies and their Dark Matter Halos
• redMaPPer I: Algorithm and SDSS DR8 Catalog
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• Galaxy Evolution from Halo Occupation Distribution Modeling of DEEP2 and SDSS Galaxy Clustering
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Properties of galaxy dark matter halos from weak lensing
• The redMaPPer Galaxy Cluster Catalog From DES Science Verification Data
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Modeling the clustering and halo occupation distribution of BOSS-CMASS galaxies in the Final Data Release
• Dark Energy Survey Year 3 Results: Photometric Data Set for Cosmology
• redMaGiC: Selecting Luminous Red Galaxies from the DES Science Verification Data
• CFHTLenS: The relation between galaxy dark matter haloes and baryons from weak gravitational lensing
• Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2
• Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
• Three-Point Correlations in Weak Lensing Surveys: Model Predictions and Applications
• The galaxy-halo connection from a joint lensing, clustering and abundance analysis in the CFHTLenS/VIPERS field
• Galaxy-galaxy Lensing: Dissipationless Simulations Versus the Halo Model
• Beyond Assembly Bias: Exploring Secondary Halo Biases for Cluster-size Haloes
• KiDS-1000 Methodology: Modelling and inference for joint weak gravitational lensing and spectroscopic galaxy clustering analysis
• Forward Modeling of Large-Scale Structure: An open-source approach with Halotools
• The $\text{Abacus}$ Cosmological $N$-body Code
• Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Limitations to the "basic'' HOD model and beyond
• AbacusHOD: A highly efficient extended multi-tracer HOD framework and its application to BOSS and eBOSS data
• The three-point correlation function of cosmic shear: I. The natural components
• \textsc{CompaSO}: A new halo finder for competitive assignment to spherical overdensities
• Spatial Clustering of Dark Matter Halos: Secondary Bias, Neighbor Bias, and the Influence of Massive Neighbors on Halo Properties
• Dissecting and Modelling Galaxy Assembly Bias
• Dark Energy Survey Year 3 results: Cosmological constraints from galaxy clustering and galaxy-galaxy lensing using the MagLim lens sample
• Luminous Red Galaxies in Clusters: Central Occupation, Spatial Distributions, and Mis-centering
• The Stripe 82 Massive Galaxy Project II: Stellar Mass Completeness of Spectroscopic Galaxy Samples from the Baryon Oscillation Spectroscopic Survey
• Stringent ${\sigma }_8$ constraints from small-scale galaxy clustering using a hybrid MCMC+emulator framework
• Evidence for galaxy assembly bias in BOSS CMASS redshift-space galaxy correlation function
• Unveiling Galaxy Bias via the Halo Model, KiDS and GAMA
• Galaxy-Galaxy Lensing in the DES Science Verification Data
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• KiDS-1000: Combined halo-model cosmology constraints from galaxy abundance, galaxy clustering and galaxy-galaxy lensing
• Exploring the squeezed three-point galaxy correlation function with generalized halo occupation distribution models
• Cosmological cross-correlations and nearest neighbor distributions
• The MillenniumTNG Project: An improved two-halo model for the galaxy-halo connection of red and blue galaxies
• The integrated 3-point correlation function of cosmic shear
• The galaxy-halo connection in the VIDEO Survey at 0.5<z<1.7
• The Incomplete Conditional Stellar Mass Function: Unveiling the Stellar Mass Functions of Galaxies at 0.1 < Z < 0.8 from BOSS Observations
• Perturbation theory for modeling galaxy bias: validation with simulations of the Dark Energy Survey
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Priors on red galaxy stochasticity from hybrid effective field theory
• Validating a minimal galaxy bias method for cosmological parameter inference using HSC-SDSS mock catalogs
• Probing Galaxy Assembly Bias in BOSS Galaxies Using Void Probabilities
• How to Optimally Constrain Galaxy Assembly Bias: Supplement Projected Correlation Functions with Count-in-cells Statistics
• Encircling the dark: constraining dark energy via cosmic density in spheres
• Galaxy Bias and ${\sigma }_8$ from Counts in Cells from the SDSS Main Sample
• KiDS-1000 Cosmology: Constraints from density split statistics
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• Constructing high-fidelity halo merger trees in AbacusSummit
• Cylinders out of a top hat: counts-in-cells for projected densities
• The Subaru HSC Galaxy Clustering with Photometric Redshift I: Dark Halo Masses Versus Baryonic Properties of Galaxies at 0.3<z<1.4
• The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise
• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• Determination of the abundance of cosmic matter via the cell count moments of the galaxy distribution (1)
• Detection of spatial clustering in the 1000 richest SDSS DR8 redMaPPer clusters with Nearest Neighbor distributions
• 2D k-th nearest neighbor statistics: a highly informative probe of galaxy clustering
• KiDS+VIKING+GAMA: Halo occupation distributions and correlations of satellite numbers with a new halo model of the galaxy-matter bispectrum for galaxy-galaxy-galaxy lensing
• Two is better than one: joint statistics of density and velocity in concentric spheres as a cosmological probe
• One-point statistics matter in extended cosmologies

Cited by in corpus (2)

• How do uncertainties in galaxy formation physics impact field-level galaxy bias?
• Informed total-error-minimizing priors: Interpretable cosmological parameter constraints despite complex nuisance effects