A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics

Abstract

Starting from a very accurate model for density-in-cells statistics of dark matter based on large deviation theory, a bias model for the tracer density in spheres is formulated. It adopts a mean bias relation based on a quadratic bias model to relate the log-densities of dark matter to those of mass-weighted dark haloes in real and redshift space. The validity of the parametrised bias model is established using a parametrisation-independent extraction of the bias function. This average bias model is then combined with the dark matter PDF, neglecting any scatter around it: it nevertheless yields an excellent model for densities-in-cells statistics of mass tracers that is parametrised in terms of the underlying dark matter variance and three bias parameters. The procedure is validated on measurements of both the one and two point statistics of subhalo densities in the state-of-the-art Horizon Run 4 simulation showing excellent agreement for measured dark matter variance and bias parameters. Finally, it is demonstrated that this formalism allows for a joint estimation of the nonlinear dark matter variance and the bias parameters using solely the statistics of subhaloes. Having verified that galaxy counts in hydrodynamical simulations sampled on a scale of 10 Mpc/h closely resemble those of subhaloes, this work provides important steps towards making theoretical predictions for density-in-cells statistics applicable to upcoming galaxy surveys like Euclid or WFIRST.

arXiv comment14 pages, 11 figures

References in corpus (94)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Large scale bias and the peak background split
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Halo Models of Large Scale Structure
• Accurate photometric redshifts for the CFHT Legacy Survey calibrated using the VIMOS VLT Deep Survey
• Radiative Transfer in a Clumpy Universe: II. The Utraviolet Extragalactic Background
• An analytic model for the spatial clustering of dark matter haloes
• The COSMOS2015 Catalog: Exploring the 1<z<6 Universe with half a million galaxies
• A Comprehensive Analysis of Uncertainties Affecting the Stellar Mass - Halo Mass Relation for 0<z<4
• Clustering of Galaxies in a Hierarchical Universe: I. Methods and Results at z=0
• The Dark Side of the Halo Occupation Distribution
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• Dancing in the dark: galactic properties trace spin swings along the cosmic web
• Large-Scale Galaxy Bias
• The Evolution of the Elemental Abundances in the Gas and Dust Phases of the Galaxy
• Linking halo mass to galaxy luminosity
• A primer on hierarchical galaxy formation: the semi-analytical approach
• Biasing and Hierarchical Statistics in Large-scale Structure
• The Effective Field Theorist's Approach to Gravitational Dynamics
• EMERGE - An empirical model for the formation of galaxies since $z\sim 10$
• Stochastic Nonlinear Galaxy Biasing
• Self-regulated growth of supermassive black holes by a dual jet/heating AGN feedback mechanism: methods, tests and implications for cosmological simulations
• The origin and implications of dark matter anisotropic cosmic infall on ~L* haloes
• Evolution of the Galaxy - Dark Matter Connection and the Assembly of Galaxies in Dark Matter Halos
• Galaxy Formation and Large-Scale Bias
• Sunrise: Polychromatic Dust Radiative Transfer in Arbitrary Geometries
• Measuring the Redshift Evolution of Clustering: the Hubble Deep Field South
• The Non-Parametric Model for Linking Galaxy Luminosity with Halo/Subhalo Mass
• Recovering galaxy stellar population properties from broad-band spectral energy distribution fitting
• A Counts-in-Cells Analysis of Lyman-break Galaxies at z~3
• The Horizon-AGN simulation: evolution of galaxy properties over cosmic time
• Loop Corrections in Non-Linear Cosmological Perturbation Theory
• Mapping stellar content to dark matter halos using galaxy clustering and galaxy-galaxy lensing in the SDSS DR7
• SDSS galaxy bias from halo mass-bias relation and its cosmological implications
• Minimizing the stochasticity of halos in large-scale structure surveys
• The galaxy-halo connection from a joint lensing, clustering and abundance analysis in the CFHTLenS/VIPERS field
• A Critical Assessment of Stellar Mass Measurement Methods
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Skewness Induced by Gravity
• How to suppress the shot noise in galaxy surveys
• The Nonlinear Evolution of Rare Events
• Properties of the Cosmological Density Distribution Function
• Weakly Non-Linear Gaussian Fluctuations and the Edgeworth Expansion
• The Physical Origin of Scale Dependent Bias in Cosmological Simulations
• The assembly bias of dark matter haloes to higher orders
• Peak-Background Split, Renormalization, and Galaxy Clustering
• What is L*?: Anatomy of the Galaxy Luminosity Function
• GOTPM: A Parallel Hybrid Particle-Mesh Treecode
• Evaluating Semi-Analytic Halo Merging Histories
• On the Distribution of Haloes, Galaxies and Mass
• Cosmological Perturbation Theory and the Spherical Collapse Model - I. Gaussian Initial Conditions
• Non-Linear Approximations to Gravitational Instability: A Comparison in the Quasi-Linear Regime
• Dynamics of gravitational clustering II. Steepest-descent method for the quasi-linear regime
• Horizon Run 4 Simulation: Coupled Evolution of Galaxies and Large-scale Structures of the Universe
• A ``Skewed'' lognormal approximation to the probability distribution function of the large-scale density field
• The Local Bias Model in the Large Scale Halo Distribution
• Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps
• A halo bias function measured deeply into voids without stochasticity
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• Strong clustering of underdense regions and the environmental dependence of clustering from Gaussian initial conditions
• A New Halo Finding Method for N-Body Simulations
• The halo-model description of marked statistics
• Higher Order Statistics from the EDSGC Survey I: Counts in Cells
• Breaking Halo Occupation Degeneracies with Marked Statistics
• Evolution of Cosmological Density Distribution Function from the Local Collapse Model
• Gravitational Evolution of the Large-Scale Probability Density Distribution: The Edgeworth & Gamma Expansions
• Statistics of cosmic density profiles from perturbation theory
• Measuring the Nonlinear Biasing Function from a Galaxy Redshift Survey
• The galaxy counts-in-cells distribution from the SDSS
• Bias deconstructed: Unravelling the scale dependence of halo bias using real space measurements
• Effects of the initial conditions on cosmological $N$-body simulations
• Gravitational Clustering from Chi^2 Initial Conditions
• A Large Deviation Principle at play in Large-Scale Structure cosmology
• On Recovering the Nonlinear Bias Function from Counts in Cells Measurements
• The best fit for the observed galaxy Counts-in-Cell distribution function
• Encircling the dark: constraining dark energy via cosmic density in spheres
• Halo Sampling, Local Bias and Loop Corrections
• ASKI: full-sky lensing map making algorithms
• Importance of fingering convection for accreting white dwarfs in the framework of full evolutionary calculations: the case of the hydrogen-rich white dwarfs GD133 and G29-38
• Dynamics of gravitational clustering IV. The probability distribution of rare events
• The large-scale correlations of multi-cell densities and profiles, implications for cosmic variance estimates
• The joint statistics of mildly non-linear cosmological densities and slopes in count-in-cells
• Evolution of hierarchical clustering in the CFHTLS-Wide since z~1
• Precision Prediction of the Log Power Spectrum
• Density-dependent clustering: I. Pulling back the curtains on motions of the BAO peak
• Beyond Kaiser bias: mildly non-linear two-point statistics of densities in distant spheres
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): On the correct recovery of the count-in-cell probability distribution function
• A Second-order bias model for the Logarithmic Halo Mass Density
• Second-order matter fluctuations via higher-order galaxy correlators
• Two is better than one: joint statistics of density and velocity in concentric spheres as a cosmological probe
• A Two-Parameter Matching Scheme for Massive Galaxies and Dark Matter Haloes
• Recovering dark-matter clustering from galaxies with Gaussianization
• Cell Count Moments in the Halo Model
• Testing Theoretical Models for the Higher-Order Moments of Dark Halo Distribution

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• The Quijote simulations
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Density split statistics: joint model of counts and lensing in cells
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• Non-perturbative probability distribution function for cosmological counts in cells
• Galaxy Bias and ${\sigma }_8$ from Counts in Cells from the SDSS Main Sample
• Probing features in the primordial perturbation spectrum with large-scale structure data
• Cylinders out of a top hat: counts-in-cells for projected densities
• The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise
• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• The Variance and Covariance of Counts-in-Cells Probabilities
• Extreme Spheres: Counts-in-cells for 21cm intensity mapping
• Quasi-spherical collapse of matter in $\Lambda$CDM
• Halo Counts-in-cells for Cosmological Models with Different Dark Energy
• One-point probability distribution function from spherical collapse: Early Dark Energy (EDE) vs. $\Lambda$CDM
• Counts-in-Cells of subhaloes in the IllustrisTNG simulations: the role of baryonic physics
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers
• Bounds on galaxy stochasticity from halo occupation distribution modeling
• Gaussian Lagrangian Galaxy Bias
• A theoretical approach to density-split clustering