Parameterization of Stochasticity in Galaxy Clustering and Reconstruction of Tomographic Matter Clustering

Abstract

The stochasticity in galaxy clustering, the mismatch between galaxy and underlying matter distribution, suppresses the matter clustering amplitude reconstructed by the combination of galaxy auto-correlation and galaxy-galaxy lensing cross-correlation. In this work, we solve the stochasticity systematics by parameterizing the cross correlation coefficient $r(k)$ between galaxy and matter. We investigate the performance of 12 kinds of parameterization schemes, against the cosmoDC2 $\&$ TNG300-1 galaxy samples over a wide range of redshift and flux cut. The 2-parameter fits are found to describe the stochasticity up to $k_{\max }=0.9\mathrm{Mp}{\mathrm{c}}^{-1}h$, while the best performing quadratic scheme $r_s^2(k)=1+c_{1}k+c_2{k}^2$ reaches better than $1\%$ accuracy for both the direct $r_s^2(k)$ fit and reconstructing matter clustering. Then, we apply the accurate quadratic scheme to forecast the tomographic matter clustering reconstruction by the combination DESI-like LRG $\times$ CSST-like cosmic shear. Depending on assumption of stochasticity, we find that the neglect of a serious stochasticity would result in significant systematic bias in both the reconstruction and the inferred cosmological parameters, even if we adopt scale cut $k_{\max }=0.1\mathrm{Mp}{\mathrm{c}}^{-1}h$. We demonstrate the necessity of including stochasticity in reconstruction, and forecast that the reconstruction alone enables a $S_8$ constraint at about $1.5\%$ precision, free from galaxy bias and stochasticity. We will validate our method for DESI spectroscopic survey, and the analysis is expected to be complementary to DESI cosmological constraint by BAO and RSD.

Accepted for publication in Physical Review D

References in corpus (67)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Simulating Galaxy Formation with the IllustrisTNG Model
• First results from the IllustrisTNG simulations: matter and galaxy clustering
• First results from the IllustrisTNG simulations: the stellar mass content of groups and clusters of galaxies
• First results from the IllustrisTNG simulations: A tale of two elements -- chemical evolution of magnesium and europium
• Simulating galaxy formation with black hole driven thermal and kinetic feedback
• Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• First results from the IllustrisTNG simulations: radio haloes and magnetic fields
• First Results from the TNG50 Simulation: The evolution of stellar and gaseous disks across cosmic time
• Large-Scale Galaxy Bias
• Overview of the Instrumentation for the Dark Energy Spectroscopic Instrument
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• A discriminating probe of gravity at cosmological scales
• The Early Data Release of the Dark Energy Spectroscopic Instrument
• 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
• Cosmology from the Chinese Space Station Optical Survey (CSS-OS)
• Core Cosmology Library: Precision Cosmological Predictions for LSST
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• Target Selection and Validation of DESI Luminous Red Galaxies
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Biased Tracers and Time Evolution
• Halo Stochasticity from Exclusion and non-linear Clustering
• Target Selection and Validation of DESI Emission Line Galaxies
• Minimizing the stochasticity of halos in large-scale structure surveys
• How to suppress the shot noise in galaxy surveys
• Parameter constraints from cross-correlation of CMB lensing with galaxy clustering
• Modeling Biased Tracers at the Field Level
• CosmoDC2: A Synthetic Sky Catalog for Dark Energy Science with LSST
• CMB lensing tomography with the DES Science Verification galaxies
• Cosmological constraints from unWISE and Planck CMB lensing tomography
• Cosmological constraints from the tomographic cross-correlation of DESI Luminous Red Galaxies and Planck CMB lensing
• The Outer Rim Simulation: A Path to Many-Core Supercomputers
• Observational evidence for stochastic biasing
• Cosmological Analysis of Three-Dimensional BOSS Galaxy Clustering and Planck CMB Lensing Cross Correlations via Lagrangian Perturbation Theory
• Bias Loop Corrections to the Galaxy Bispectrum
• unWISE tomography of Planck CMB lensing
• Testing photometric redshift measurements with filter definition of the Chinese Space Station Optical Survey (CSS-OS)
• Towards a self-consistent halo model for the nonlinear large-scale structure
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys. II. Dark Matter Velocity Statistics
• Dark Energy Survey Year 1 Results: tomographic cross-correlations between DES galaxies and CMB lensing from SPT+Planck
• CosmicGrowth Simulations---Cosmological simulations for structure growth studies
• Peculiar Velocity Decomposition, Redshift Space Distortion and Velocity Reconstruction in Redshift Surveys - I. The Methodology
• Wide-area tomography of CMB lensing and the growth of cosmological density fluctuations
• Optimal linear reconstruction of dark matter from halo catalogs
• Testing one-loop galaxy bias: Power spectrum
• Consistent Modified Gravity Analysis of Anisotropic Galaxy Clustering Using BOSS DR11
• Optimal Weighting in Galaxy Surveys: Application to Redshift-Space Distortions
• Halo stochasticity in global clustering analysis
• Priors on red galaxy stochasticity from hybrid effective field theory
• Tomographic analyses of the CMB lensing and galaxy clustering to probe the linear structure growth
• Modified gravity and massive neutrinos: constraints from the full shape analysis of BOSS galaxies and forecasts for Stage IV surveys
• Forecast of Neutrino Cosmology from the CSST Photometric Galaxy Clustering and Cosmic Shear Surveys
• The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• Testing one-loop galaxy bias: cosmological constraints from the power spectrum
• Biased tracer reconstruction with halo mass information
• Isolating the decay rate of cosmological gravitational potential
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Principal Component Analysis of Galaxy Clustering in Hyperspace of Galaxy Properties
• The first direct measurement of gravitational potential decay rate at cosmological scales and improved dark energy constraint
• Measurement of the Weyl potential evolution from the first three years of Dark Energy Survey data
• Challenges in Cosmic Magnification Reconstruction by Magnification Response

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