A Model for Multi-property Galaxy Cluster Statistics

Abstract

The massive dark matter halos that host groups and clusters of galaxies have observable properties that appear to be log-normally distributed about power-law mean scaling relations in halo mass. Coupling this assumption with either quadratic or cubic approximations to the mass function in log space, we derive closed-form expressions for the space density of halos as a function of multiple observables as well as forms for the low-order moments of properties of observable-selected samples. Using a Tinker mass function in a ΛCDM cosmology, we show that the cubic analytic model reproduces results obtained from direct, numerical convolution at the 10 percent level or better over nearly the full range of observables covered by current observations and for redshifts extending to z = 1.5. The model provides an efficient framework for estimating effects arising from selection and covariance among observable properties in survey samples.

9 pages, 4 figures, uses on-line mass function calculator http://hmf.icrar.org/. Submitted to MNRAS

References in corpus (42)

• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• Observational Probes of Cosmic Acceleration
• Cosmological Parameters from Observations of Galaxy Clusters
• Tracing cosmic evolution with clusters of galaxies
• Chandra Cluster Cosmology Project II: Samples and X-ray Data Reduction
• Galaxy cluster X-ray luminosity scaling relations from a representative local sample (REXCESS)
• A MaxBCG Catalog of 13,823 Galaxy Clusters from the Sloan Digital Sky Survey
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• Cosmological Constraints from the SDSS maxBCG Cluster Catalog
• The structural and scaling properties of nearby galaxy clusters - II. The M-T relation
• Virial Scaling of Massive Dark Matter Halos: Why Clusters Prefer a High Normalization Cosmology
• Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
• The Observed Growth of Massive Galaxy Clusters I: Statistical Methods and Cosmological Constraints
• The Atacama Cosmology Telescope: Cosmological parameters from three seasons of data
• The relation between velocity dispersion and mass in simulated clusters of galaxies: dependence on the tracer and the baryonic physics
• Cosmological Constraints from Sunyaev-Zel'dovich-Selected Clusters with X-ray Observations in the First 178 Square Degrees of the South Pole Telescope Survey
• Lensing and X-ray mass estimates of clusters (SIMULATION)
• Mass Function Predictions Beyond LCDM
• Robust Optical Richness Estimation with Reduced Scatter
• Massive Halos in Millennium Gas Simulations: Multivariate Scaling Relations
• The Lx-Yx Relation: Using Galaxy Cluster X-Ray Luminosity as a Robust, Low Scatter Mass Proxy
• The X-ray Cluster Normalization of the Matter Power Spectrum
• HIFLUGCS: Galaxy cluster scaling relations between X-ray luminosity, gas mass, cluster radius, and velocity dispersion
• Scaling relations for galaxy clusters: properties and evolution
• Weighing Galaxy Clusters with Gas. II. On the Origin of Hydrostatic Mass Bias in LambdaCDM Galaxy Clusters
• Simultaneous Falsification of LCDM and Quintessence with Massive, Distant Clusters
• Cluster Galaxy Dynamics and the Effects of Large Scale Environment
• Planck early results: Cluster Sunyaev-Zeldovich optical scaling relations
• On the Cluster Physics of Sunyaev-Zel'dovich and X-ray Surveys III: Measurement Biases and Cosmological Evolution of Gas and Stellar Mass Fractions
• X-ray mass proxies from hydrodynamic simulations of galaxy clusters (paper I)
• Closing the Loop: A Self-Consistent Model of Optical, X-ray, and SZ Scaling Relations for Clusters of Galaxies
• Measuring the mean and scatter of the X-ray luminosity -- optical richness relation for maxBCG galaxy clusters
• The Effect of Gas Physics on the Halo Mass Function
• On the Self-Similar Appearance of Galaxy Clusters in X-rays
• The MUSIC of Galaxy Clusters II: X-ray global properties and scaling relations
• A Comparative Study of Local Galaxy Clusters: I. Derived X-ray Observables
• A Comparative Study of Local Galaxy Clusters: II: X-ray and SZ Scaling Relations
• The generalized scaling relations for X-ray galaxy clusters: the most powerful mass proxy
• Disentangling correlated scatter in cluster mass measurements
• Constructing mock catalogues for the REFLEX II galaxy cluster sample

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