Hubble Space Telescope Combined Strong and Weak Lensing Analysis of the CLASH Sample: Mass and Magnification Models and Systematic Uncertainties

We present results from a comprehensive lensing analysis in HST data, of the complete CLASH cluster sample. We identify new multiple-images previously undiscovered allowing improved or first constraints on the cluster inner mass distributions and profiles. We combine these strong-lensing constraints with weak-lensing shape measurements within the HST FOV to jointly constrain the mass distributions. The analysis is performed in two different common parameterizations (one adopts light-traces-mass for both galaxies and dark matter while the other adopts an analytical, elliptical NFW form for the dark matter), to provide a better assessment of the underlying systematics - which is most important for deep, cluster-lensing surveys, especially when studying magnified high-redshift objects. We find that the typical (median), relative systematic differences throughout the central FOV are $\sim 40\mathrm{\%}$ in the (dimensionless) mass density, $\kappa$, and $\sim 20\mathrm{\%}$ in the magnification, $\mu$. We show maps of these differences for each cluster, as well as the mass distributions, critical curves, and 2D integrated mass profiles. For the Einstein radii ($z_s=2$) we find that all typically agree within $10\mathrm{\%}$ between the two models, and Einstein masses agree, typically, within $\sim 15\mathrm{\%}$. At larger radii, the total projected, 2D integrated mass profiles of the two models, within $r\sim 2\text{arcmin}$, differ by $\sim 30\mathrm{\%}$. Stacking the surface-density profiles of the sample from the two methods together, we obtain an average slope of $d\log (\mathrm{\Sigma })\mathrm{/}d\log (r)\sim -0.64\pm 0.1$, in the radial range [5,350] kpc. Lastly, we also characterize the behavior of the average magnification, surface density, and shear differences between the two models, as a function of both the radius from the center, and the best-fit values of these quantities.