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Fig. 29

image

Posterior distributions for simulated clusters with realistic noise levels (see text for details), and varying GNFW shape parameter values based on the REXCESS sample (Böhringer et al. 2007; Arnaud et al. 2010). a) shows the two-dimensional θs and Ytot posterior, and b) and c) show the one-dimensional posteriors for α and β, shifted to be centred on the appropriate true value. In all cases γ is fixed to the universal value, α has a truncated Gaussian prior based on the REXCESS sample, β is varied uniformly between 4.5 and 6.5, and the joint two-dimensional prior on Ytot and θs is used. Results for three different angular sizes are shown (from top to bottom, θs = 1.8,4.5 and 7.4 arcmin); the input parameter values are marked with red triangles and lines.

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