Reconciling concentration to virial mass relations

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Table 1.

Overview of the c − M_vir power-law parameters.

Sample	α	c₁₃
(1)	(2)	(3)
lit, B07	−0.199 ± 0.026	14.42 ± 0.91
lit, L12	−0.401 ± 0.064	17.70 ± 3.89
lens, all	−0.65 ± 0.10	$14 . 56_{- 4.02}^{+ 5.54}$ $14.56^{+5.54}_{-4.02}$
lens, < 50	−0.41 ± 0.07	$16 . 73_{- 3.62}^{+ 2.98}$ $16.73^{+2.98}_{-3.62}$
EAGLE, all	−0.13 ± 0.03	$11 . 02_{- 0.49}^{+ 0.46}$ $11.02^{+0.46}_{-0.49}$
EAGLE, K13	−0.19 ± 0.05	$8 . 18_{- 0.60}^{+ 0.57}$ $8.18^{+0.57}_{-0.60}$

Notes. In col. 1, B07 refers to the results of Buote et al. (2007) and L12 to Leier et al. (2012). The samples “lens” and “EAGLE” give the best fits from Leier et al. (2022). “lens_{< 50}” denotes fits to our lens sample with a root mean square deviation better than the median value. Column 2 is the slope of the scaling relation and col. 3 is the concentration of the best fit at virial mass 10¹³ M_⊙. We provide errors from bootstrap.

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