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Umetsu, Keiichi; Zitrin, Adi; Gruen, Daniel; Merten, Julian; Donahue, Megan and Postman, Marc (2016): Clash: joint analysis of strong-lensing, weak-lensing shear, and magnification data for 20 galaxy clusters. In: Astrophysical Journal, Vol. 821, No. 2, 116

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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 at 0.19 less than or similar to z less than or similar to 0.69 selected from Cluster Lensing And Supernova survey with Hubble (CLASH). Our analysis combines constraints from 16-band Hubble Space Telescope observations and wide-field multi-color imaging taken primarily with Suprime-Cam on the Subaru Telescope, spanning a wide range of cluster radii (10 ''-16'). 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 of the clusters. We find the internal consistency of the ensemble mass calibration to be <= 5% +/- 6% in the one-halo regime (200-2000 kpc h(-1)) compared to the CLASH weak-lensing-only measurements of Umetsu et al. For the X-ray-selected subsample of 16 clusters, we examine the concentration-mass (c-M) relation and its intrinsic scatter using a Bayesian regression approach. Our model yields a mean concentration of c vertical bar(z=0.34) = 3.95 +/- 0.35 at M-200c similar or equal to 14 x 10(14) M-circle dot and an intrinsic scatter of sigma(ln c(200c)) = 0.13 +/- 0.06, which is in excellent agreement with Lambda cold dark matter 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 lensing signal is detected at 33 sigma significance over the entire radial range <= 4000 kpc h(-1), accounting for the effects of intrinsic profile variations and uncorrelated large-scale structure along the line of sight. The stacked mass profile is well described by a family of density profiles predicted for cuspy dark-matter-dominated halos in gravitational equilibrium, namely, the Navarro-Frenk-White (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 large-scale 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) x 10(14) M-circle dot, demonstrating consistency between the complementary analysis methods.

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