CODEX Weak Lensing: Concentration of Galaxy Clusters at z ~ 0.5

Abstract

We present a stacked weak lensing analysis of 27 richness selected galaxy clusters at 0.40 < z < 0.62 in the CODEX survey. The fields were observed in 5 bands with the CFHT. We measure the stacked surface mass density profile with a significance of 14\(\sigma\) in the radial range 0.1 Mpc h^{-1} < R < 2.5 Mpc h^{-1}. The density profile is well described by the halo model and includes the main halo term following an NFW profile, the two-halo term, and the off-centring effect. We select the background sample using a conservative colour-magnitude decision tree method to reduce the potential systematic errors and contamination by cluster member galaxies. We perform a Bayesian analysis for the stacked profile and constrain the best-fit NFW parameters M_{200c} = 6.6^{+1.0}_{-0.8} x 10^{14} h^{-1} M_{\odot} and c_{200c} = 3.7^{+0.7}_{-0.6}. The off-centring effect was modelled based on previous observational results found for redMaPPer SDSS clusters. Our constraints on M_{200c} and c_{200c} allow us to investigate the consistency with numerical predictions and select a concentration-mass relation to describe the CODEX sample. When comparing our best-fit values for M_{200c} and c_{200c} with other observational surveys at different redshifts, we find no evidence for evolution in the concentration-mass relation, though this evolution could be mitigated by particular selection functions. Similar to previous studies investigating the X-ray luminosity-mass relation, our data suggests a lower evolution with redshift than expected from self-similarity.