The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise

Abstract

We study the connection of matter density and its tracers from the PDF perspective. One aspect of this connection is the conditional expectation value $⟨{\delta }_{\mathrm{tracer}}|{\delta }_m⟩$ when averaging both tracer and matter density over some scale. We present a new way to incorporate a Lagrangian bias expansion of this expectation value into standard frameworks for modelling the PDF of density fluctuations and counts-in-cells statistics. Using N-body simulations and mock galaxy catalogs we confirm the accuracy of this expansion and compare it to the more commonly used Eulerian parametrization. For halos hosting typical luminous red galaxies, the Lagrangian model provides a significantly better description of $⟨{\delta }_{\mathrm{tracer}}|{\delta }_m⟩$ at second order in perturbations. A second aspect of the matter-tracer connection is shot-noise, \ie the scatter of tracer density around $⟨{\delta }_{\mathrm{tracer}}|{\delta }_m⟩$. It is well known that this noise can be significantly non-Poissonian and we validate the performance of a more general, two-parameter shot-noise model for different tracers and simulations. Both parts of our analysis are meant to pave the way for forthcoming applications to survey data.

arXiv comment20 pages, submitted to MNRAS, numerical tools available at https://github.com/OliverFHD/CosMomentum

References in corpus (55)

• The Structure of Cold Dark Matter Halos
• The cosmological simulation code GADGET-2
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Halo Models of Large Scale Structure
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• GADGET: A code for collisionless and gasdynamical cosmological simulations
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Transients from Initial Conditions in Cosmological Simulations
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• 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
• 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 power spectrum between redshifts 0.6 and 1.0
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• There's no place like home? Statistics of Milky Way-mass dark matter halos
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• redMaGiC: Selecting Luminous Red Galaxies from the DES Science Verification Data
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Large-scale Structure Catalogs for Cosmological Analysis
• Halo Stochasticity from Exclusion and non-linear Clustering
• Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2
• Minimizing the stochasticity of halos in large-scale structure surveys
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Growth rate of structure measurement from anisotropic clustering analysis in configuration space between redshift 0.6 and 1.1 for the Emission Line Galaxy sample
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• 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
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• Density split statistics: joint model of counts and lensing in cells
• On the reach of perturbative descriptions for dark matter displacement fields
• Dynamics of gravitational clustering II. Steepest-descent method for the quasi-linear regime
• The clustering of luminous red galaxies at z $\sim$ 0.7 from eBOSS and BOSS data
• 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
• Back in the saddle: Large-deviation statistics of the cosmic log-density field
• Performance of internal Covariance Estimators for Cosmic Shear Correlation Functions
• Nuw CDM cosmology from the weak lensing convergence PDF
• Unveiling Galaxy Bias via the Halo Model, KiDS and GAMA
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Probing cosmology with weak lensing selected clusters I: Halo approach and all-sky simulations
• Cosmological constraints from the convergence 1-point probability distribution
• Shot noise and biased tracers: a new look at the halo model
• RascalC: A Jackknife Approach to Estimating Single and Multi-Tracer Galaxy Covariance Matrices
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• A Large Deviation Principle at play in Large-Scale Structure cosmology
• Non-perturbative probability distribution function for cosmological counts in cells
• 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
• Dynamics of gravitational clustering V. Subleading corrections in the quasi-linear regime
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• Cylinders out of a top hat: counts-in-cells for projected densities
• The joint statistics of mildly non-linear cosmological densities and slopes in count-in-cells
• Measuring Linear and Non-linear Galaxy Bias Using Counts-in-Cells in the Dark Energy Survey Science Verification Data
• A Second-order bias model for the Logarithmic Halo Mass Density
• Non-perturbative halo clustering from cosmological density peaks

Cited by in corpus (11)

• Priors on red galaxy stochasticity from hybrid effective field theory
• Modeling Nearest Neighbor distributions of biased tracers using Hybrid Effective Field Theory
• KiDS-1000 Cosmology: Constraints from density split statistics
• The matter density PDF for modified gravity and dark energy with Large Deviations Theory
• Lyman-alpha Emitters in Ionized Bubbles: Constraining the Environment and Ionized Fraction
• Unveiling the Universe with Emerging Cosmological Probes
• One-point statistics matter in extended cosmologies
• Informed total-error-minimizing priors: Interpretable cosmological parameter constraints despite complex nuisance effects
• Gaussian Lagrangian Galaxy Bias
• Bounds on galaxy stochasticity from halo occupation distribution modeling
• A theoretical approach to density-split clustering