Table 2.
Mean and root mean square (rms) of the distributions of relative residuals as a measure of their bias and scatter.
MHE | ΦtSZ | ΦXR | Section and Figures | |
---|---|---|---|---|
All clusters in | (0.13, 0.24) | (0.06, 0.15) | (0.15, 0.17)true, thermal | Sect. 4.3.1 |
any dyn. state | Figs. 5a and 7a | |||
HE effect | (0.03, 0.17)total | (−0.03, 0.13)total | (−0.06, 0.14)total, bolo | Sect. 4.3.2 |
(0.14, 0.19)thermal | (0.08, 0.15)thermal | (0.02, 0.11)thermal, bolo | Figs. 6a,c, and 7b | |
Polytropic | (0.06, 0.19)ΔΓ = 0.03 | Sect. 4.3.3 | ||
stratification | (0.06, 0.23)ΔΓ = 0.06 | |||
Presence of | (−0.06, 0.14)bolo, total | Sect. 4.3.4 | ||
emission lines | (0.02, 0.07)true, total | Fig. 7b | ||
Presence of | (0.15, 0.25)with sub | (0.11, 0.19)with sub | (0.31, 0.38)with sub | Sect. 4.3.5 |
substructures | (0.13, 0.24)no sub | (0.06, 0.15)no sub | (0.15, 0.17)no sub | Fig. 8 |
Notes. These values have been obtained for the entire cluster sample, except for the effects due to the HE and to the presence of emission lines, for which we used the relaxed cluster sample. To single out how the X-ray potential is affected by the HE assumption we use here emissivity corrected potentials (indicated with the subscript bolo, to be distinguished from the true X-ray emissivity). Likewise, to discriminate the effect due to the presence of emission lines from the HE effect, the results reported here are derived for the total pressure (indicated with the subscript total, to be distinguished from the thermal pressure). For the effect due to the polytropic stratification relation, we report the bias obtained with the fitted value of Γ and the scatter obtained from the increased uncertainty on Γ: ΔΓ = 0.03 and 0.06.
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