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Table 2.

Summary of HE mass bias result at R500.

N( * ) (1 − bHE, X) σbHE, X SkbHE, X (1 − bHE, SZ) σbHE, SZ SkbHE, SZ
3D sample All 175 0.90 0.09 0.20 0.90 0.11 0.73
Well-fitted 97 0.88 0.08 −0.30 0.90 0.09 0.35
𝒞 <  1.1 55 0.91 0.06 0.12 0.91 0.07 0.07
R3D 30 0.91 0.05 0.37 0.91 0.08 1.82
IR3D 145 0.90 0.10 0.26 0.90 0.12 0.68
Corrections:
 Eq. (14)/(15) 175 1.00 0.09 −0.13 1.01 0.10 0.18

2D samples All 536 0.90 0.10 0.54 0.90 0.12 0.96
σA <  0.4 163 0.91 0.08 −0.19 0.91 0.09 0.41
VR 25 0.91 0.04 −0.26 0.91 0.05 −0.12
R 101 0.91 0.08 2.14 0.91 0.10 1.73
IR 410 0.89 0.11 +0.45 0.89 0.13 0.89
Corrections:
 (i) Eq. (15)/(16) 536 1.01 0.09 0.41 1.01 0.11 0.34
 (ii) Eq. (16)/(17) ε 536 1.00 0.09 0.48 0.99 0.11 0.35
 (iii) Eq. (16)/(17) MM 536 1.01 0.09 0.47 1.00 0.11 0.42
 (iv) Eq. (16)/(17) σA, R 536 1.02 0.010 0.64 1.01 0.11 0.56

Notes. The upper part refers to the 3D samples (each cluster appears only once) and the lower part refers to the 2D sample (each cluster can appear up to three times). The second column names the subsamples or the equation used to correct the mass bias; the third column reports the number of either clusters (first part) or maps (second part) included in the sample; the other columns report the parameters – median (1 − b), dispersion (σb), skewness (Skb) computed with the IDL routines MEDIAN, STDDEV, SKEWNESS – describing the distributions of bHE, X and bHE, SZ. ( * )We consider only the maps whose projected R500, measured from MF, was entirely contained in the maps. The numbers are therefore reduced with respect to Table 1.

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