Unveiling the three-dimensional structure of galaxy clusters: resolving the discrepancy between X-ray and lensing masses

TL;DR

This study introduces a method to determine the three-dimensional shapes and physical parameters of galaxy clusters, resolving discrepancies between X-ray and lensing mass estimates by considering their triaxial geometry.

Contribution

The paper presents a novel approach combining X-ray and lensing data to infer the 3D structure of galaxy clusters, improving accuracy over traditional spherical models.

Findings

Resolved the mass discrepancy issue in galaxy clusters.

Measured the dark matter density profile slope close to CDM predictions.

Demonstrated the importance of 3D modeling in cluster analysis.

Abstract

[Abridged] We present the first determination of the intrinsic three-dimensional shapes and the physical parameters of both dark matter (DM) and intra-cluster medium (ICM) in a triaxial galaxy cluster. While most previous studies rely on the standard spherical modeling, our approach allows to infer the properties of the non-spherical intra-cluster gas distribution sitting in hydrostatic equilibrium within triaxial DM halos by combining X-ray, weak and strong lensing observations. We present an application of our method to the galaxy cluster MACS J1423.8+2404. This source is an example of a well relaxed object with a unimodal mass distribution and we infer shape and physical properties of the ICM and the DM for this source. We found that this is a triaxial galaxy cluster with DM halo axial ratios 1.53+/-0.15 and 1.44+/-0.07 on the plane of the sky and along the line of sight, respectively. We show that accounting for the three-dimensional geometry allows to solve the long-standing discrepancy between galaxy cluster masses determined from X-ray and gravitational lensing observations. We focus also on the determination of the inner slope of the DM density profile alpha, since the cuspiness of dark-matter density profiles is one of the critical tests of the cold dark matter (CDM) paradigm for structure formation: we measure alpha=0.94+/-0.09 by accounting explicitly for the 3D structure for this cluster, a value which is close to the CDM predictions, while the standard spherical modeling leads to the biased value alpha=1.24+/-0.07. Our findings provide further evidences that support the CDM scenario and open a new window in recovering the intrinsic shapes and physical parameters of galaxy clusters in a bias-free way. This has important consequences in using galaxy clusters as cosmological probes.