EDP Sciences
Free Access
Issue
A&A
Volume 582, October 2015
Article Number A79
Number of page(s) 14
Section Cosmology (including clusters of galaxies)
DOI https://doi.org/10.1051/0004-6361/201526793
Published online 12 October 2015

Online material

Appendix A: MCMC likelihood

In this appendix, we present the results of our MCMC runs for all the scenarios considered in Sect. 4.2, through “triangle” plots showing the 1D and 2D posterior distributions for the calibration parameter ATM, scaling index βTM, the matter density Ωm, and the amplitude of the linear power spectrum σ8. Figure A.1 illustrates the differences between the various mass functions used throughout our work, while Fig. A.2 shows the impact of having the scaling index βTM as a additional free parameter. Figure A.1 presents the impact of the latest Planck 2015 data on our results obtained with the 2013 data.

thumbnail Fig. A.1

1D posterior distributions and 2D confidence (68% and 95%) contours for the parameters ATM, Ωm, and σ8, as derived from our MCMC analysis in three different cases: contraints from CMB+clusters using either the SMT mass function (red), the Tinker mass function with a virial mass definition (blue) or with M500 critical masses (black). The statistical analysis of the corresponding MCMC chains is given in Table 2.

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thumbnail Fig. A.2

1D posterior distributions and 2D confidence (68% and 95%) contours for the parameters ATM, βTM, Ωm, and σ8, as derived from our MCMC analysis in two different cases: contraints from CMB+clusters using the Tinker mass function with M500 critical masses, with a fixed scaling index βTM = 2 / 3 (red) or with βTM as a free parameter (black). The statistical analysis of the corresponding MCMC chains is given in Table 2.

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thumbnail Fig. A.3

1D posterior distributions and 2D confidence (68% and 95%) contours for the parameters ATM, Ωm, and σ8, as derived from our MCMC analysis using the Tinker mass function with M500 critical masses, with the Planck 2013 (black) and Planck 2015 (red) data sets. The 68% confidence limits of the scaling law calibration ATM are [6.04,6.80] when using the 2015 CMB data (to be compared to the slightly wider interval [5.97,6.93] with the 2013 data).

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© ESO, 2015

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