Mass Calibration of Galaxy Clusters at Redshift 0.1-1.0 using Weak Lensing in the Sloan Digital Sky Survey Stripe 82 Co-add

Abstract

We present galaxy cluster mass-richness relations found in the Sloan Digital Sky Survey Stripe 82 co-add using clusters found using a Voronoi tessellation cluster finder. These relations were found using stacked weak lensing shear observed in a large sample of galaxy clusters. These mass-richness relations are presented for four redshift bins, $0.1<z\le 0.4$, $0.4<z\le 0.7$, $0.7<z\le 1.0$ and $0.1<z\le 1.0$. We describe the sample of galaxy clusters and explain how these clusters were found using a Voronoi tessellation cluster finder. We fit an NFW profile to the stacked weak lensing shear signal in redshift and richness bins in order to measure virial mass $(M_{200})$. We describe several effects that can bias weak lensing measurements, including photometric redshift bias, the effect of the central BCG, halo miscentering, photometric redshift uncertainty and foreground galaxy contamination. We present mass-richness relations using richness measure $N_{VT}$ with each of these effects considered separately as well as considered altogether. We also examine redshift evolution of the mass-richness relation. As a result we present measurements of the mass coefficient ($M_{200|20}$) and the power law slope ($\alpha$) for power law fits to the mass and richness values in each of the redshift bins. We find values of the mass coefficient of $8.49\pm 0.526$, $14.1\pm 1.78$, $30.2\pm 8.74$ and $9.23\pm 0.525\times 10^{13}$ $h^{-1}$ $M_{sun}$ for each of the four redshift bins respectively. We find values of the power law slope of $0.905\pm 0.0585$, $0.948\pm 0.100$, $1.33\pm 0.260$ and $0.883\pm 0.0500$ respectively.

arXiv comment14 pages, 16 figures. Accepted by Monthly Notices of the Royal Astronomical Society. Version 3 includes better resolution versions of Figures 8, 15 and 16

References in corpus (29)

• The Sloan Digital Sky Survey: Technical Summary
• Cosmological Parameters from Observations of Galaxy Clusters
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
• The DEEP2 Galaxy Redshift Survey: Design, Observations, Data Reduction, and Redshifts
• A MaxBCG Catalog of 13,823 Galaxy Clusters from the Sloan Digital Sky Survey
• Cosmological Constraints from the SDSS maxBCG Cluster Catalog
• The VIMOS VLT Deep Survey final data release: a spectroscopic sample of 35016 galaxies and AGN out to z~6.7 selected with 17.5<=i_{AB}<=24.7
• Shear calibration biases in weak lensing surveys
• The VIMOS Public Extragalactic Survey (VIPERS): First Data Release of 57 204 spectroscopic measurements
• MaxBCG: A Red Sequence Galaxy Cluster Finder
• Estimating the Redshift Distribution of Faint Galaxy Samples
• The SDSS Coadd: 275 deg^2 of Deep SDSS Imaging on Stripe 82
• Measurement of Galaxy Cluster Sizes, Radial Profiles, and Luminosity Functions from SDSS Photometric Data
• Galaxy-galaxy weak lensing in SDSS: intrinsic alignments and shear calibration errors
• Gravitating mass profiles of nearby galaxy clusters and relations with X-ray gas temperature, luminosity and mass
• Cross-correlation Weak Lensing of SDSS Galaxy Clusters III: Mass-to-light Ratios
• Planck intermediate results. III. The relation between galaxy cluster mass and Sunyaev-Zeldovich signal
• The SDSS Coadd: Cosmic Shear Measurement
• 3D-Matched-Filter Galaxy Cluster Finder I: Selection Functions and CFHTLS Deep Clusters
• The Voronoi Tessellation cluster finder in 2+1 dimensions
• Cluster Magnification & the Mass-Richness Relation in CFHTLenS
• The Observed Properties of High-Redshift Cluster Galaxies
• Improved optical mass tracer for galaxy clusters calibrated using weak lensing measurements
• The SDSS Coadd: A Galaxy Photometric Redshift Catalog
• The insignificant evolution of the richness-mass relation of galaxy clusters
• Cosmological Constraints from the Large Scale Weak Lensing of SDSS MaxBCG Clusters
• CFHTLenS: A Weak Lensing Shear Analysis of the 3D-Matched-Filter Galaxy Clusters
• The SDSS Coadd: Cross-Correlation Weak Lensing and Tomography of Galaxy Clusters

Cited by in corpus (7)

• Constraints on the Richness-Mass Relation and the Optical-SZE Positional Offset Distribution for SZE-Selected Clusters
• AMICO galaxy clusters in KiDS-DR3: weak-lensing mass calibration
• Weak-lensing calibration of a stellar mass-based mass proxy for redMaPPer and Voronoi Tessellation clusters in SDSS Stripe 82
• Richness-based masses of rich and famous galaxy clusters
• ${\mu }_{\star }$ Masses: Weak Lensing Calibration of the Dark Energy Survey Year 1 redMaPPer Clusters using Stellar Masses
• Constraining Cosmological Parameters using the Cluster Mass-Richness Relation
• Unveiling a new structure behind the Milky Way