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Fig. 4.

image

Left: stacked surface density (projected) profile of cluster galaxies. The different colors indicate different mass and redshift bins, as indicated in the legend. The solid lines provide the best-fit models of Eq. (2) in each case. The residual normalized by the error, χ, is also provided. Right: posterior likelihood on the model truncation radius parameters rmax and concentration c for each bin, providing the 68%, 95% and 99% C.L. The vertical dashed lines represent the best-fit number concentration cluster observational data from the literature, namely: c = 2.90 ± 0.22 (at a median redshift med(z)=0.04, and median mass med(M200)=4 × 1014 M, Lin et al. 2004), c = 4.13 ± 0.57 (at med(z)=0.31, med(M200)=3 × 1014 M, Muzzin et al. 2007), (at med(z)=1.00, med(M200)=2 × 1014 M, van der Burg et al. 2014), 1/c = 0.278 ± 0.065 (at med(z)=0.06, med(M200)=6 × 1014 M, van der Burg et al. 2014), c = 2.40 ± 0.30 (at med(z)=0.44, med(M200)=14 × 1014 M, Annunziatella et al. 2014).

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