Cosmological constraints from galaxy clusters and groups in the eROSITA final equatorial depth survey

Abstract

ABSTRACT 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 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 $\mathcal {C}$. 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 $\mathcal {C}$. 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 ΛCDM cosmology. Extending to a flat wCDM cosmology leads to the constraint on the equation of state parameter of the dark energy of w = −1.25 ± 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 ≲ 1σ. 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.