Cosmological Constraints from Galaxy Clusters and Groups in the eROSITA Final Equatorial Depth Survey

We present the first cosmological study of a sample of $eROSITA$ clusters, which were identified in the $eROSITA$ Final Equatorial Depth Survey (eFEDS). In a joint selection on X-ray and optical observables, the sample contains $455$ clusters within a redshift range of $0.1<z<1.2$, of which $177$ systems are covered by the public data from the Hyper Suprime-Cam (HSC) survey that enables uniform weak-lensing cluster mass constraints. With minimal assumptions, at each cluster redshift $z$ we empirically model (1) the scaling relations between the cluster halo mass and the observables, which include the X-ray count rate, the optical richness, and the weak-lensing mass, and (2) the X-ray selection in terms of the completeness function $\mathtt{C}$. Using the richness distribution of the clusters, we directly measure the X-ray completeness and adopt those measurements as informative priors for the parameters of $\mathtt{C}$. In a blinded analysis, we obtain the cosmological constraints $\Omega_{\mathrm{m}} = 0.245^{+0.048}_{-0.058}$, $\sigma_{8} = 0.833^{+0.075}_{-0.063}$ and $S_{8} \equiv \sigma_{8}\left(\Omega_{\mathrm{m}}/0.3\right)^{0.3}= 0.791^{+0.028}_{-0.031}$ in a flat $\Lambda$CDM cosmology. Extending to a flat $w$CDM cosmology leads to the constraint on the equation of state parameter of the dark energy of $w = -1.25\pm 0.47$. The eFEDS constraints are in good agreement with the results from the $Planck$ mission, the galaxy-galaxy lensing and clustering analysis of the Dark Energy Survey, and the cluster abundance analysis of the SPT-SZ survey at a level of $\lesssim1\sigma$. With the empirical modelling, this work presents the first fully self-consistent cosmological constraints based on a synergy between wide-field X-ray and weak lensing surveys.Comment: Accepted for publication in MNRAS. Figures 18 and 19 contain the main results. Chains and cluster masses are at https://github.com/inonchiu/eFEDSproduct

CLUMP-3D. Testing Λ\LambdaCDM with galaxy cluster shapes

The $\Lambda$CDM model of structure formation makes strong predictions on concentration and shape of DM (dark matter) halos, which are determined by mass accretion processes. Comparison between predicted shapes and observations provides a geometric test of the $\Lambda$CDM model. Accurate and precise measurements needs a full three-dimensional analysis of the cluster mass distribution. We accomplish this with a multi-probe 3D analysis of the X-ray regular CLASH (Cluster Lensing And Supernova survey with Hubble) clusters combining strong and weak lensing, X-ray photometry and spectroscopy, and the Sunyaev-Zel'dovich effect. The cluster shapes and concentrations are consistent with $\Lambda$CDM predictions. The CLASH clusters are randomly oriented, as expected given the sample selection criteria. Shapes agree with numerical results for DM-only halos, which hints at baryonic physics being not so effective in making halos rounder.Comment: v2: 8 pages, in press on ApJL. Extended discussion on regularity. One of three new companion papers of the CLUMP-3D project (Keiichi Umetsu et al., arxiv:1804.00664; I-Non Chiu et al., arXiv:1804.00676

CLUMP-3D: three-dimensional lensing and multi-probe analysis of MACS J1206.2−0847, a remarkably regular cluster

Multi-wavelength techniques can probe the distribution and the physical properties of baryons and dark matter in galaxy clusters from the inner regions out to the peripheries. We present a full three-dimensional analysis combining strong and weak lensing, X-ray surface brightness and temperature, and the Sunyaev–Zel'dovich effect. The method is applied to MACS J1206.2−0847, a remarkably regular, face-on, massive, M_(200) = (1.1 ± 0.2) × 10^(15) M⊙ h^(−1), cluster at z = 0.44. The measured concentration, c_(200) = 6.3 ± 1.2, and the triaxial shape are common to haloes formed in a Λ cold dark matter scenario. The gas has settled in and follows the shape of the gravitational potential, which is evidence of pressure equilibrium via the shape theorem. There is no evidence for significant non-thermal pressure and the equilibrium is hydrostatic

CLUMP-3D: Three-dimensional Shape and Structure of 20 CLASH Galaxy Clusters from Combined Weak and Strong Lensing

We perform a three-dimensional triaxial analysis of 16 X-ray regular and 4 high-magnification galaxy clusters selected from the CLASH survey by combining two-dimensional weak-lensing and central strong-lensing constraints. In a Bayesian framework, we constrain the intrinsic structure and geometry of each individual cluster assuming a triaxial Navarro-Frenk-White halo with arbitrary orientations, characterized by the mass $M_{200\mathrm{c}}$, halo concentration $C_{200\mathrm{c}}$, and triaxial axis ratios ($q_{\mathrm{a}} \le q_{\mathrm{b}}$), and investigate scaling relations between these halo structural parameters. From triaxial modeling of the X-ray-selected subsample, we find that the halo concentration decreases with increasing cluster mass, with a mean concentration of $C_{200\mathrm{c}} = 4.82\pm0.30$ at the pivot mass $M_{200\mathrm{c}}=10^{15}M_{\odot}h^{-1}$. This is consistent with the result from spherical modeling, $C_{200\mathrm{c}}=4.51\pm 0.14$. Independently of the priors, the minor-to-major axis ratio $q_{\mathrm{a}}$ of our full sample exhibits a clear deviation from the spherical configuration ($q_{\mathrm{a}}=0.52 \pm 0.04$ at $10^{15}M_{\odot}h^{-1}$ with uniform priors), with a weak dependence on the cluster mass. Combining all 20 clusters, we obtain a joint ensemble constraint on the minor-to-major axis ratio of $q_{\mathrm{a}}=0.652^{+0.162}_{-0.078}$ and a lower bound on the intermediate-to-major axis ratio of $q_{\mathrm{b}}>0.63$ at the $2\sigma$ level from an analysis with uniform priors. Assuming priors on the axis ratios derived from numerical simulations, we constrain the degree of triaxiality for the full sample to be $\mathcal{T}=0.79 \pm 0.03$ at $10^{15}M_{\odot}h^{-1}$, indicating a preference for a prolate geometry of cluster halos. We find no statistical evidence for an orientation bias ($f_{\mathrm{geo}}=0.93 \pm 0.07$) (abridged)Comment: Accepted by the ApJ. This is one of the three companion papers, including Umetsu et al. 2018 (arXiv:1804.00664) and Sereno et al. 2018 (arXiv:1804.00667), in the CLUMP-3D project. Go go go, HoHo