The scaling relation between richness and mass of galaxy clusters: a Bayesian approach

Abstract

We use a sample of 53 galaxy clusters at 0.03 < z < 0.1 with available masses derived from the caustic technique and with velocity dispersions computed using 208 galaxies on average per cluster, in order to investigate the scaling between richness, mass and velocity dispersion. A tight scaling between richness and mass is found, with an intrinsic scatter of only 0.19 dex in mass and with a slope one, i.e. clusters which have twice as many galaxies are twice as massive. When richness is measured without any knowledge of the cluster mass or linked parameters (such as r200), it can predict mass with an uncertainty of 0.29+/-0.01 dex. As a mass proxy, richness competes favourably with both direct measurements of mass given by the caustic method, which has typically 0.14 dex errors (vs 0.29) and X-ray luminosity, which offers a similar 0.30 dex uncertainty. The similar performances of X-ray luminosity and richness in predicting cluster masses has been confirmed using cluster masses derived from velocity dispersion fixed by numerical simulations. These results suggest that cluster masses can be reliably estimated from simple galaxy counts, at least at the redshift and masses explored in this work. This has important applications in the estimation of cosmological parameters from optical cluster surveys, because in current surveys clusters detected in the optical range outnumber, by at least one order of magnitude, those detected in X-ray. Our analysis is robust from astrophysical and statistical perspectives. The data and code used for the stochastic computation is distributed with the paper. [Abridged]

MNRAS, in press

References in corpus (22)

• The Cosmic Evolution Survey (COSMOS) -- Overview
• Some Aspects of Measurement Error in Linear Regression of Astronomical Data
• Virial Scaling of Massive Dark Matter Halos: Why Clusters Prefer a High Normalization Cosmology
• The XMM-Newton wide-field survey in the COSMOS field: VI. Statistical properties of clusters of galaxies
• Systematics in the X-ray Cluster Mass Estimators
• CIRS: Cluster Infall Regions in the Sloan Digital Sky Survey I. Infall Patterns and Mass Profiles
• On the efficiency and reliability of cluster mass estimates based on member galaxies
• The build-up of the colour-magnitude relation in galaxy clusters since z~0.8
• The Lx-Yx Relation: Using Galaxy Cluster X-Ray Luminosity as a Robust, Low Scatter Mass Proxy
• The X-Ray Luminosity--Mass Relation for Local Clusters of Galaxies
• Cosmological Constraints from the Red-Sequence Cluster Survey
• Cross-correlation Weak Lensing of SDSS Galaxy Clusters III: Mass-to-light Ratios
• The history of mass assembly of faint red galaxies in 28 galaxy clusters since z=1.3
• The Complex Structure of the Cl 1604 Supercluster at z~0.9
• The Build-up of the Red Sequence in the galaxy cluster MS1054-0321 at z=0.831
• Galaxy evolution in the high redshift, colour-selected cluster RzCS 052 at z=1.02
• Near-Infrared Properties of Moderate-Redshift Galaxy Clusters: Halo Occupation Number, Mass-to-Light Ratios and Omega_m
• New evidence for a linear colour-magnitude relation and a single Schechter function for red galaxies in a nearby cluster of galaxies down to M*+8
• NoSOCS in SDSS. II. Mass Calibration of Low Redshift Galaxy Clusters with Optical and X-ray Properties
• The Effects of Halo Assembly Bias on Self-Calibration in Galaxy Cluster Surveys
• Scaling relations of the colour-detected cluster RzCS 052 at z=1.016 and of some other high redshift clusters
• Surveying the dark side

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