Reconstruction of the mass distribution of galaxy clusters from the inversion of the thermal Sunyaev–Zel'dovich effect

Majer, Charles L.; Meyer, Sven; Konrad, Sara; Sarli, Eleonora; Bartelmann, Matthias

doi:10.1093/mnras/stw952

Cited by 6 publications

(12 citation statements)

References 80 publications

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“…6. The cluster potential can be reconstructed from the X-ray emission of the ICM gas (Konrad et al 2013;Tchernin et al 2015) and the tSZ signal (Majer et al 2016) based on the following assumptions (see also Tchernin et al 2018):…”

Section: Methods To Estimate Cluster Potentialsmentioning

confidence: 99%

Characterizing galaxy clusters by their gravitational potential: systematics of cluster potential reconstruction

Tchernin,

Lau,

Stapelberg

et al. 2020

Preprint

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Context. Biases in mass measurements of galaxy clusters are one of the major limiting systematics in constraining cosmology with clusters. Aims. We aim to demonstrate that the systematics associated with cluster gravitational potentials are smaller than the hydrostatic mass bias and that cluster potentials could therefore be a good alternative to cluster masses in cosmological studies. Methods. Using cosmological simulations of galaxy clusters, we compute the biases in the hydrostatic mass (HE mass) and those in the gravitational potential, reconstructed from measurements at X-ray and millimeter wavelengths. In particular, we investigate the effects of the presence of substructures and of non-thermal pressure support on both the HE mass and the reconstructed potential. Results. We find that the bias in the reconstructed potential (6%) is less than that of the HE mass (13%), and that the scatter in the reconstructed potential decreases by ∼ 35% with respect to that in the HE mass. Conclusions. This study shows that characterizing galaxy clusters by their gravitational potential is a promising alternative to using cluster masses in cluster cosmology.

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Section: Methods To Estimate Cluster Potentialsmentioning

confidence: 99%

Characterizing galaxy clusters by their gravitational potential: systematics of cluster potential reconstruction

Tchernin,

Lau,

Stapelberg

et al. 2020

Preprint

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“…We briefly recap the main ideas of the Richardson-Lucy (RL) deprojection method. For more extensive accounts see Lucy (1974Lucy ( , 1994, Konrad et al (2013) and Majer et al (2016), among others. For brevity and simplicity, here we assume spherical symmetry and thus radial profiles, but the method can be extended to other symmetries as well (Reblinsky 2000;Majer et al 2016).…”

Section: Richardson-lucy With Correct Amplitudesmentioning

confidence: 99%

“…In this work we present an attempt to combine a free-form lensing reconstruction framework with X-ray surface brightness data in a consistent way. This is the latest instalment in a series of papers, developing the lensing reconstruction framework to its current free-form and mesh-free state (Bartelmann et al 1996;Merten et al 2009;Merten 2016) on the one hand, and describing how to infer the gravitational potential from non-lensing tracers in a local, physically motivated way on the other (Reblinsky 2000;Konrad et al 2013;Sarli et al 2014;Majer et al 2016;Tchernin et al 2018).…”

Section: Introductionmentioning

confidence: 99%

Joint cluster reconstructions

Huber

Tchernin

Merten³

et al. 2019

A&A

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Context. Galaxy clusters provide a multitude of observational data across wavelengths, and their structure and morphology are of considerable interest in cosmology as well as astrophysics. Aims. We develop a framework that allows the combination of lensing and non-lensing observations in a free-form and mesh-free approach to infer the projected mass distribution of individual galaxy clusters. This method can be used to test common assumptions on the morphology of clusters in parametric models. Methods. We make use of the lensing reconstruction code SAWLENS2, and expand its capabilities by incorporating an estimate of the projected gravitational potential based on X-ray data that are deprojected using the local Richardson–Lucy method and used to infer the Newtonian potential of the cluster. We discuss how potentially arising numerical artefacts can be treated. Results. We demonstrate the feasibility of our method on a simplified mock Navarro–Frenk–White (NFW) halo and on a cluster from a realistic hydrodynamical simulation. We show how the combination of X-ray and weak lensing data can affect a free-form reconstruction, improving the accuracy in the central region in some cases by a factor of two.

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“…While both parameters should be adapted to the data, there is no general criterion to find the best value for α (Lucy 1994). An approach to estimating the optimal value of α for fixed L can be found in Majer et al (2016). We emphasize, however, that the choice of α and L influences the deprojection only very little for α > 0 and values of L smaller than half of the size of the observed region.…”

Section: Technical Detailmentioning

confidence: 99%

“…The effect of this assumption on the reconstruction of the potential of more disrupted clusters is under investigation (Tchernin et al 2018, in prep.). Furthermore, the generalization to spheroidal symmetry is ongoing (Reblinsky 2000;Puchwein & Bartelmann 2006) and has already been successfully tested in Majer et al (2016) for the reconstruction from SZ data. This generalization is crucial, as we aim at recovering a joint projected gravitational potential on a 2D map.…”

Section: The Geometry Of the Clustermentioning

confidence: 99%

Reconstruction of the two-dimensional gravitational potential of galaxy clusters from X-ray and Sunyaev-Zel’dovich measurements

Tchernin

Bartelmann

Huber

et al. 2018

A&A

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Context. The mass of galaxy clusters is not a direct observable, nonetheless it is commonly used to probe cosmological models. Based on the combination of all main cluster observables, that is, the X-ray emission, the thermal Sunyaev-Zel'dovich (SZ) signal, the velocity dispersion of the cluster galaxies, and gravitational lensing, the gravitational potential of galaxy clusters can be jointly reconstructed. Aims. We derive the two main ingredients required for this joint reconstruction: the potentials individually reconstructed from the observables and their covariance matrices, which act as a weight in the joint reconstruction. We show here the method to derive these quantities. The result of the joint reconstruction applied to a real cluster will be discussed in a forthcoming paper. Methods. We apply the Richardson-Lucy deprojection algorithm to data on a two-dimensional (2D) grid. We first test the 2D deprojection algorithm on a β-profile. Assuming hydrostatic equilibrium, we further reconstruct the gravitational potential of a simulated galaxy cluster based on synthetic SZ and X-ray data. We then reconstruct the projected gravitational potential of the massive and dynamically active cluster Abell 2142, based on the X-ray observations collected with XMM-Newton and the SZ observations from the Planck satellite. Finally, we compute the covariance matrix of the projected reconstructed potential of the cluster Abell 2142 based on the X-ray measurements collected with XMM-Newton. Results. The gravitational potentials of the simulated cluster recovered from synthetic X-ray and SZ data are consistent, even though the potential reconstructed from X-rays shows larger deviations from the true potential. Regarding Abell 2142, the projected gravitational cluster potentials recovered from SZ and X-ray data reproduce well the projected potential inferred from gravitational-lensing observations. We also observe that the covariance matrix of the potential for Abell 2142 reconstructed from XMM-Newton data sensitively depends on the resolution of the deprojected grid and on the smoothing scale used in the deprojection. Conclusions. We show that the Richardson-Lucy deprojection method can be effectively applied on a grid and that the projected potential is well recovered from real and simulated data based on X-ray and SZ signal. The comparison between the reconstructed potentials from the different observables provides additional information on the validity of the assumptions as function of the projected radius.

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Reconstruction of the mass distribution of galaxy clusters from the inversion of the thermal Sunyaev–Zel'dovich effect

Cited by 6 publications

References 80 publications

Characterizing galaxy clusters by their gravitational potential: systematics of cluster potential reconstruction

Characterizing galaxy clusters by their gravitational potential: systematics of cluster potential reconstruction

Joint cluster reconstructions

Reconstruction of the two-dimensional gravitational potential of galaxy clusters from X-ray and Sunyaev-Zel’dovich measurements

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