The mass-concentration relation in lensing clusters: the role of statistical biases and selection effects

Abstract

The relation between mass and concentration of galaxy clusters traces their formation and evolution. Massive lensing clusters were observed to be over-concentrated and following a steep scaling in tension with predictions from the concordance $\Lambda$CDM paradigm. We critically revise the relation in the CLASH, the SGAS, the LOCUSS, and the high-redshift samples of weak lensing clusters. Measurements of mass and concentration are anti-correlated, which can bias the observed relation towards steeper values. We corrected for this bias and compared the measured relation to theoretical predictions accounting for halo triaxiality, adiabatic contraction of the halo, presence of a dominant BCG and, mostly, selection effects in the observed sample. The normalisation, the slope and the scatter of the expected relation are strongly sample-dependent. For the considered samples, the predicted slope is much steeper than that of the underlying relation characterising dark-matter only clusters. We found that the correction for statistical and selection biases in observed relations mostly solve the tension with the $\Lambda$CDM model.

13 pages, 3 figures; v2: 14 pages, minor changes, in press on MNRAS

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Cited by in corpus (10)

• CLASH: The Concentration-Mass Relation of Galaxy Clusters
• The concentration-mass relation of clusters of galaxies from the OmegaWINGS survey
• CoMaLit III. Literature Catalogs of weak Lensing Clusters of galaxies (LC^2)
• CODEX Weak Lensing: Concentration of Galaxy Clusters at z ~ 0.5
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• Simulations for 21 cm radiation lensing at EoR redshifts
• Average Dark Matter Halo Sparsity Relations as Consistency Check of Mass Estimates in Galaxy Cluster Samples
• Forecasting cosmological parameter constraints using multiple sparsity measurements as tracers of the mass profiles of dark matter haloes
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• The impact of baryons on the sparsity of simulated galaxy clusters from The Three Hundred Project