CLASH: Joint Analysis of Strong-Lensing, Weak-Lensing Shear and Magnification Data for 20 Galaxy Clusters

Abstract

We present a comprehensive analysis of strong-lensing, weak-lensing shear and magnification data for a sample of 16 X-ray-regular and 4 high-magnification galaxy clusters selected from the CLASH survey. Our analysis combines constraints from 16-band HST observations and wide-field multi-color imaging taken primarily with Subaru/Suprime-Cam. We reconstruct surface mass density profiles of individual clusters from a joint analysis of the full lensing constraints, and determine masses and concentrations for all clusters. We find internal consistency of the ensemble mass calibration to be $\le 5\%\pm 6\%$ by comparison with the CLASH weak-lensing-only measurements of Umetsu et al. For the X-ray-selected subsample, we examine the concentration-mass relation and its intrinsic scatter using a Bayesian regression approach. Our model yields a mean concentration of $c{|}_{z=0.34}=3.95\pm 0.35$ at $M_{200c}\simeq 14\times 10^{14}{M}_{\odot }$ and an intrinsic scatter of $\sigma (\ln c_{200c})=0.13\pm 0.06$, in excellent agreement with LCDM predictions when the CLASH selection function based on X-ray morphological regularity and the projection effects are taken into account. We also derive an ensemble-averaged surface mass density profile for the X-ray-selected subsample by stacking their individual profiles. The stacked mass profile is well described by a family of density profiles predicted for cuspy dark-matter-dominated halos, namely, the NFW, Einasto, and DARKexp models, whereas the single power-law, cored isothermal and Burkert density profiles are disfavored by the data. We show that cuspy halo models that include the two-halo term provide improved agreement with the data. For the NFW halo model, we measure a mean concentration of $c_{200c}=3.79_{-0.28}^{+0.30}$ at $M_{200c}=14.1_{-1.0}^{+1.0}\times 10^{14}{M}_{\odot }$, demonstrating consistency between complementary analysis methods.

29 pages, 11 figures, 5 tables. (v2) References added; (v3) ApJ accepted, text expanded to give details of weak-lensing analysis, methods, and systematics; (v4) Version published in ApJ

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