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Table 2.

Constraints on the cosmological parameters obtained in the different bins.

Ghirardini et al. (2024) z = 0.1 − 0.175 0.175 − 0.244 z = 0.244 − 0.330 z = 0.330 − 0.452 z = 0.452 − 0.8
Ωm 0.29 ± 0.02 0.31 ± 0.05 0.34 ± 0.05 0.28 ± 0.04 0.30 ± 0.04 0.29 ± 0.04
σ8 0.88 ± 0.02 0.82 ± 0.06 0.80 ± 0.08 0.89 ± 0.07 0.84 ± 0.05 0.95 ± 0.05
S8 0.86 ± 0.01 0.83 ± 0.02 0.82 ± 0.07 0.86 ± 0.06 0.84 ± 0.03 0.94 ± 0.04
AX 0.64 ± 0.05 5.33 ± 0.99 2.27 ± 0.46 1.52 ± 0.29 0.93 ± 0.18 0.18 ± 0.32
BX 1.38 ± 0.03 1.51 ± 0.07 1.51 ± 0.08 1.45 ± 0.07 1.52 ± 0.08 1.35 ± 0.08
FX −0.3 ± 0.1 −1.7 ± 1.9 −0.8 ± 2.3 −1.7 ± 1.5 −0.7 ± 1.4 0.14 ± 0.6
GX 0.29 ± 0.12 1.3 ± 1.70 2.7 ± 1.60 2.5 ± 1.00 1.0 ± 0.91 −0.1 ± 0.40
lnA 14.1 ± 0.08 14.2 ± 0.23 13.9 ± 0.37 13.8 ± 0.35 14.3 ± 0.51 14.0 ± 0.32
σX 0.98 ± 0.04 0.72 ± 0.09 0.74 ± 0.12 0.67 ± 0.13 0.60 ± 0.11 0.97 ± 0.06

Notes. The confidence intervals presented are the 1σ errors. The differences in confidence intervals are due to the redshift and mass distributions of clusters in each bin. Since we used different pivot redshifts for each bin, the normalization of the scaling relation is not consistently measured. We thus introduce the rescaled amplitude parameter lnA = lnAX + FXln(1 + zp, i)ln(2)+2ln(DL(zp, i)) − 2ln(EX(zp, i)) − GXln(1 + zp, i), where zp, i represent the pivot redshift in each redshift bin.

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