Combined strong and weak lensing analysis of 28 clusters from the Sloan Giant Arcs Survey★

We study the mass distribution of a sample of 28 galaxy clusters using strong and weak lensing observations. The clusters are selected via their strong lensing properties as part of the Sloan Giant Arcs Survey (SGAS) from the Sloan Digital Sky Survey (SDSS). Mass modelling of the strong lensing information from the giant arcs is combined with weak lensing measurements from deep Subaru/Suprime-cam images to primarily obtain robust constraints on the concentration parameter and the shape of the mass distribution. We find that the concentration cvir is a steep function of the mass, cvir∝M-0.59±0.12vir, with the value roughly consistent with the lensing-bias-corrected theoretical expectation for high-mass (˜1015 h-1 M) clusters. However, the observationally inferred concentration parameters appear to be much higher at lower masses (˜1014 h-1 M), possibly a consequence of the modification to the inner density profiles provided by baryon cooling. The steep mass-concentration relation is also supported from direct stacking analysis of the tangential shear profiles. In addition, we explore the 2D shape of the projected mass distribution by stacking weak lensing shear maps of individual clusters with prior information on the position angle from strong lens modelling, and find significant evidence for a large mean ellipticity with the best-fitting value of = 0.47 ± 0.06 for the mass distribution of the stacked sample. We find that the luminous cluster member galaxy distribution traces the overall mass distribution very well, although the distribution of fainter cluster galaxies appears to be more extended than the total mass. a Photometric redshifts estimated from the SDSS data, as spectroscopic cluster redshifts are not available for these clusters. b Based on the spectroscopy of the brightest cluster galaxy at Apache Point Observatory 3.5-m telescope. c We use deep Rc-band images retrieved from SMOKA instead of obtaining r-band follow-up images. This field includes two separate cluster cores, both of which act as strong lenses. d Based on the new spectroscopic observation with Gemini/GMOS conducted after the publication of Bayliss et al. (2011b).