Cosmology with Stacked Cluster Weak Lensing and Cluster-Galaxy Cross-Correlations

Abstract

Cluster weak lensing is a sensitive probe of cosmology, particularly the amplitude of matter clustering ${\sigma }_8$ and matter density parameter ${\Omega }_m$. The main nuisance parameter in a cluster weak lensing cosmological analysis is the scatter between the true halo mass and the relevant cluster observable, denoted ${\sigma }_{\ln Mc}$. We show that combining the cluster weak lensing observable $\Delta \Sigma$ with the projected cluster-galaxy cross-correlation function $w_{p,cg}$ and galaxy auto-correlation function $w_{p,gg}$ can break the degeneracy between ${\sigma }_8$ and ${\sigma }_{\ln Mc}$ to achieve tight, percent-level constraints on ${\sigma }_8$. Using a grid of cosmological N-body simulations, we compute derivatives of $\Delta \Sigma$, $w_{p,cg}$, and $w_{p,gg}$ with respect to ${\sigma }_8$, ${\Omega }_m$, ${\sigma }_{\ln Mc}$ and halo occupation distribution (HOD) parameters describing the galaxy population. We also compute covariance matrices motivated by the properties of the Dark Energy Suvery (DES) cluster and weak lensing survey and the BOSS CMASS galaxy redshift survey. For our fiducial scenario combining $\Delta \Sigma$, $w_{p,cg}$, and $w_{p,gg}$ measured over $0.3-30.0h^{-1}\mathrm{Mpc}$, for clusters at $z=0.35-0.55$ above a mass threshold $M_c\approx 2\times 10^{14}{h}^{-1}{\mathrm{M}}_{\odot }$, we forecast a $1.4\%$ constraint on ${\sigma }_8$ while marginalizing over ${\sigma }_{\ln Mc}$ and all HOD parameters. Reducing the mass threshold to $1\times 10^{14}{h}^{-1}{\mathrm{M}}_{\odot }$ and adding a $z=0.15-0.35$ redshift bin sharpens this constraint to $0.8\%$. The small scale $(r_p<3.0h^{-1}\mathrm{Mpc})$ ``mass function'' and large scale $(r_p>3.0h^{-1}\mathrm{Mpc})$ ``halo-mass cross-correlation'' regimes of $\Delta \Sigma$ have comparable constraining power, allowing internal consistency tests from such an analysis.

arXiv comment23 pages, 11 figures, 1 appendix (with extra figure)

References in corpus (111)

• Planck 2015 results. XIII. Cosmological parameters
• A Universal Density Profile from Hierarchical Clustering
• Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• The Aquarius Project: the subhalos of galactic halos
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Observational Probes of Cosmic Acceleration
• Astrophysics Source Code Library
• Cosmological Parameters from Observations of Galaxy Clusters
• Analytic model for galaxy and dark matter clustering
• The Inner Structure of LambdaCDM Halos III: Universality and Asymptotic Slopes
• The Hyper Suprime-Cam SSP Survey: Overview and Survey Design
• The Inner Structure of LambdaCDM Halos I: A Numerical Convergence Study
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• Halo occupation numbers and galaxy bias
• The Dark Side of the Halo Occupation Distribution
• The Halo Occupation Distribution: Towards an Empirical Determination of the Relation Between Galaxies and Mass
• LSST Science Book, Version 2.0
• Euclid Definition Study Report
• Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
• Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
• The age dependence of halo clustering
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The Dependence of Halo Clustering on Halo Formation History, Concentration, and Occupation
• The Nature of Galaxy Bias and Clustering
• Sample Variance Considerations for Cluster Surveys
• Cosmological Constraints from the SDSS maxBCG Cluster Catalog
• Measuring cosmological parameters with galaxy surveys
• Spatial correlation function and pairwise velocity dispersion of galaxies: CDM models versus the Las Campanas Survey
• Residual Gas Motions in the Intracluster Medium and Bias in Hydrostatic Measurements of Mass Profiles of Clusters
• The Canadian Cluster Comparison Project: detailed study of systematics and updated weak lensing masses
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• On the Mass-to-Light Ratio of Large Scale Structure
• Assembly bias in the clustering of dark matter haloes
• A universal model for halo concentrations
• The Observed Growth of Massive Galaxy Clusters I: Statistical Methods and Cosmological Constraints
• Galaxy Clusters Selected with the Sunyaev-Zel'dovich Effect from 2008 South Pole Telescope Observations
• On the environmental dependence of halo formation
• On the Accuracy of Weak Lensing Cluster Mass Reconstructions
• Weighing simulated galaxy clusters using lensing and X-ray
• Galaxy clusters discovered via the Sunyaev-Zel'dovich effect in the first 720 square degrees of the South Pole Telescope survey
• The Non-Parametric Model for Linking Galaxy Luminosity with Halo/Subhalo Mass
• CosmoLike - Cosmological Likelihood Analyses for Photometric Galaxy Surveys
• The accretion history of dark matter halos III: A physical model for the concentration-mass relation
• Cosmological Constraints from Sunyaev-Zel'dovich-Selected Clusters with X-ray Observations in the First 178 Square Degrees of the South Pole Telescope Survey
• Dark Energy Survey Year 1 Results: Weak Lensing Mass Calibration of redMaPPer Galaxy Clusters
• Robust Weak-lensing Mass Calibration of Planck Galaxy Clusters
• A marked correlation function analysis of halo formation times in the Millennium Simulation
• Halo Occupation Distribution Modeling of Clustering of Luminous Red Galaxies
• redMaGiC: Selecting Luminous Red Galaxies from the DES Science Verification Data
• Galaxy Assembly Bias: A Significant Source of Systematic Error in the Galaxy-Halo Relationship
• Virial masses of galactic halos from galaxy-galaxy lensing: theoretical modeling and application to SDSS
• Power Spectrum Covariance of Weak Gravitational Lensing
• Mapping stellar content to dark matter halos using galaxy clustering and galaxy-galaxy lensing in the SDSS DR7
• Weak Lensing Measurement of the Mass--Richness Relation of SDSS redMaPPer Clusters
• Galaxy clustering in the CFHTLS-Wide: the changing relationship between galaxies and haloes since z ~ 1.2
• Introducing Decorated HODs: modeling assembly bias in the galaxy-halo connection
• On Halo Formation Times and Assembly Bias
• Combining cluster observables and stacked weak lensing to probe dark energy: Self-calibration of systematic uncertainties
• The Atacama Cosmology Telescope: Cosmology from Galaxy Clusters Detected via the Sunyaev-Zel'dovich Effect
• Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
• Dark Energy Survey Year 1 Results: Methods for Cluster Cosmology and Application to the SDSS
• Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters
• Towards Cosmological Concordance on Galactic Scales
• The Impact of Assembly Bias on the Galaxy Content of Dark Matter Halos
• The Aemulus Project III: Emulation of the Galaxy Correlation Function
• Weak-lensing mass calibration of redMaPPer galaxy clusters in Dark Energy Survey Science Verification data
• Assembly bias and the dynamical structure of dark matter halos
• Beyond Assembly Bias: Exploring Secondary Halo Biases for Cluster-size Haloes
• Galaxy-galaxy lensing estimators and their covariance properties
• The impact of assembly bias on the halo occupation in hydrodynamical simulations
• Environmental Dependence of Cold Dark Matter Halo Formation
• LoCuSS: Calibrating Mass-Observable Scaling Relations for Cluster Cosmology with Subaru Weak Lensing Observations
• Breaking the Degeneracies Between Cosmology and Galaxy Bias
• The richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clusters
• The Abacus Cosmos: A Suite of Cosmological N-body Simulations
• The Richness-Dependent Cluster Correlation Function: Early SDSS Data
• Constraints on the mass-richness relation from the abundance and weak lensing of SDSS clusters
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: modeling of the luminosity and colour dependence in the Data Release 10
• The Correlation Function of Optically Selected Galaxy Clusters in the Sloan Digital Sky Survey
• Findings of the Joint Dark Energy Mission Figure of Merit Science Working Group
• Closing the Loop: A Self-Consistent Model of Optical, X-ray, and SZ Scaling Relations for Clusters of Galaxies
• Cross-correlation Weak Lensing of SDSS Galaxy Clusters III: Mass-to-light Ratios
• Modeling projection effects in optically-selected cluster catalogues
• Constraints on Assembly Bias from Galaxy Clustering
• Spatial Clustering of Dark Matter Halos: Secondary Bias, Neighbor Bias, and the Influence of Massive Neighbors on Halo Properties
• The Evolution of Assembly Bias
• Improving Initial Conditions for Cosmological $N$-Body Simulations
• Performance of internal Covariance Estimators for Cosmic Shear Correlation Functions
• Large-scale assembly bias of dark matter halos
• Emulating galaxy clustering and galaxy-galaxy lensing into the deeply nonlinear regime: methodology, information, and forecasts
• Galaxy-CMB and galaxy-galaxy lensing on large scales: sensitivity to primordial non-Gaussianity
• Weak-Lensing Mass Calibration of the Atacama Cosmology Telescope Equatorial Sunyaev-Zeldovich Cluster Sample with the Canada-France-Hawaii Telescope Stripe 82 Survey
• The dependence of halo bias on age, concentration and spin
• The APM cluster-galaxy cross-correlation function : Constraints on Omega and galaxy bias
• The Immitigable Nature of Assembly Bias: The Impact of Halo Definition on Assembly Bias
• The effects of assembly bias on cosmological inference from galaxy-galaxy lensing and galaxy clusters
• The nature of assembly bias - II. Halo spin
• WFIRST Science Investigation Team "Cosmology with the High Latitude Survey" Annual Report 2017
• Cosmological Constraints from the Large Scale Weak Lensing of SDSS MaxBCG Clusters
• Dependence of Halo Bias and Kinematics on Assembly Variables
• The Correlation Function of Rich Clusters of Galaxies in CDM-like Models
• Cross-correlation of galaxies and galaxy clusters in the Sloan Digital Sky Survey and the importance of non-Poissonian shot noise
• Stacked Weak Lensing Mass Calibration: Estimators, Systematics, and Impact on Cosmological Parameter Constraints
• Weak-lensing-inferred scaling relations of galaxy clusters in the RCS2: mass-richness, mass-concentration, mass-bias, and more
• Producing a BOSS-CMASS sample with DES imaging
• Probing galaxy assembly bias with LRG weak lensing observations
• Covariance matrices for galaxy cluster weak lensing: from virial regime to uncorrelated large-scale structure
• Projection effects in galaxy cluster samples: insights from X-ray redshifts
• The Effect of Assembly Bias on Redshift Space Distortions
• Cross Correlations of X-ray and Optically Selected Clusters With Near Infrared and Optical Galaxies

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• Cluster cosmology with anisotropic boosts: Validation of a novel forward modeling analysis and application on SDSS redMaPPer clusters
• Modeling assembly bias with machine learning and symbolic regression
• Joint cosmology and mass calibration from tSZ cluster counts and cosmic shear
• Self-calibrating optical galaxy cluster selection bias using cluster, galaxy, and shear cross-correlations
• Optical galaxy cluster mock catalogs with realistic projection effects: Validations with the SDSS clusters
• PoPE: A population-based approach to model spatial structure of astronomical systems
• The mass and galaxy distribution around SZ-selected clusters
• MIGHTEE: The dark matter haloes, duty cycle and mechanical feedback from radio-AGN up to $z\sim 2.5$
• Strong Conformity and Assembly Bias: Towards a Physical Understanding of the Galaxy-Halo Connection in SDSS Clusters
• The invariance of group occupation across the cosmic web
• Exploiting Non-linear Scales in Galaxy-Galaxy Lensing and Galaxy Clustering: A Forecast for the Dark Energy Survey
• Cross-correlations between X-ray clusters and the general galaxy population
• Mapping the cosmic mass distribution with stacked weak gravitational lensing and Doppler lensing
• The impact of projection effects on cluster observables: stacked lensing and projected clustering