Comparison of estimates of the hydrostatic bias 1−b. The leftmost (solid black) curve is the distribution needed to reconcile cluster counts and cosmological constraint from CMB (Planck Collaboration XXIV 2016). The dotted broad distribution reaching 1−b = 1.5 is the bias found using lensing of CMB temperature anisotropies (Planck Collaboration XXIV 2016). Other curves refer to weak lensing mass estimates (von der Linden et al. 2014; Hoekstra et al. 2015; Smith et al. 2016) or our work (blue thick curve centered on 1−b = 0.88 ≈ 1−0.06ln10). All probability densities integrate to one (as probability axioms prescribe) and we converted without approximations the distribution in 1/(1−b) (from lensing from CMB) to the plotted 1−b distribution.
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