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

TL;DR

This paper combines strong and weak lensing data for 20 galaxy clusters to accurately determine their mass profiles, concentrations, and test dark matter models, confirming predictions of the LCDM cosmology.

Contribution

It provides a joint analysis method for multiple lensing constraints and compares observed cluster profiles with theoretical dark matter halo models.

Findings

Ensemble mass calibration consistent within 5% with previous weak-lensing measurements.

Measured concentration-mass relation aligns with LCDM predictions.

Stacked mass profile favors cuspy dark matter halo models like NFW and Einasto.

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 $c_{200c} = 3.79^{+0.30}_{-0.28}$ at $M_{200c} = 14.1^{+1.0}_{-1.0}\times 10^{14}M_\odot$, demonstrating consistency between complementary analysis methods.