Closing up the cluster tension?

Abstract

The excellent measurements of the cosmic microwave background (CMB) fluctuations by Planck allow us to tightly constrain the amplitude of matter fluctuations at redshift $\sim 1100$ in the $\Lambda$-cold dark matter ($\Lambda$CDM) model. This amplitude can be extrapolated to the present epoch, yielding constraints on the value of the ${\sigma }_8$ parameter. On the other hand, the abundance of Sunyaev-Zeldovich (SZ) clusters detected by Planck, with masses inferred using a hydrostatic equilibrium assumption, leads to a significantly lower value of the same parameter. This discrepancy is often dubbed the ${\sigma }_8$ tension in the literature and is sometimes regarded as a possible sign of new physics. Here, we examine a direct determination of ${\sigma }_8$ at the present epoch in $\Lambda$CDM, and thereby the cluster mass calibrations using cosmological data at low redshift, namely the measurements of $f{\sigma }_8$ from the analysis of the completed Sloan Digital Sky Survey (SDSS). We combined redshift-space distortion measurements with Planck CMB constraints, X-ray, and SZ cluster counts within the $\Lambda$CDM framework, but leaving the present-day amplitude of matter fluctuations as an independent parameter (i.e. no extrapolation is made from high-redshift CMB constraints). The calibration of X-ray and SZ masses are left as free parameters throughout the whole analysis. Our study yields tight constraints on the aforementioned calibrations, with values entirely consistent with results obtained from the full combination of CMB and cluster data only. Such an agreement suggests an absence of tension in the $\Lambda$CDM model between CMB-based estimates of ${\sigma }_8$ and constraints from low-redshift on $f{\sigma }_8$; however, it also indicates tension with the standard calibration of clusters masses.

4 pages, 1 figure, accepted in A&A, v2: replaced to match the accepted version

References in corpus (8)

• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• Assessing tension metrics with Dark Energy Survey and Planck data
• DES Y1 results: Splitting growth and geometry to test $\Lambda$CDM
• Assessing the accuracy of cosmological parameters estimated from velocity -- density comparisons via simulations
• Cluster counts. II. Tensions, massive neutrinos, and modified gravity
• Sunyaev-Zel'dovich galaxy clusters number counts : consequences of cluster scaling laws evolution

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