MASS-CONCENTRATION RELATION OF CLUSTERS OF GALAXIES FROM CFHTLenS

Based on weak lensing data from the Canada-France-Hawaii Telescope Lensing Survey (CFHTLenS), in this paper we study the mass-concentration (M-c) relation for similar to 200 redMaPPer clusters in the fields. We extract the M-c relation by measuring the density profiles of individual clusters instead of using stacked weak lensing signals. By performing Monte Carlo simulations, we demonstrate that although the signal-to-noise ratio for each individual cluster is low, the unbiased M-c relation can still be reliably derived from a large sample of clusters by carefully taking into account the impacts of shape noise, cluster center offset, dilution effect from member or foreground galaxies, and the projection effect. Our results show that within error bars the derived M-c relation for redMaPPer clusters is in agreement with simulation predictions. There is a weak deviation in that the halo concentrations calibrated by Monte Carlo simulations are somewhat higher than that predicted from Planck cosmology.NSFC of China [11333001, 11173001, 11033005, 11103011]; Marie Curie International Incoming Fellowship within the 7th European Community Framework Programme; NSFC [11333001, 11103012]; Shanghai Research of STCSM [13JC1404400]; ERC advanced grant LIDA; CNRS; 1000 Young Talents program in China; Strategic Priority Research Program "The Emergence of Cosmological Structures" of the Chinese Academy of Sciences [XDB09000000]SCI(E)ARTICLEduwei@bao.ac.cn; fanzuhui@pku.edu.cn281