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Table E.1.

Best-fit parameters of the cluster scaling relation in Eq. (15).

Parameters lnλ0 μz μm σlnλ0 σz σm
Baseline analysis, Sect. 5.1

Abundance alone 3.27 ± 0.14 0.04 ± 0.19 2.22 ± 0.20 0.53 ± 0.11 0.06 ± 0.25 −0.11 ± 0.14
Lensing masses alone 3.37 ± 0.20 0.18 ± 0.47 2.34 ± 0.44 0.52 ± 0.10 −0.03 ± 0.32 −0.00 ± 0.15
Lensing profiles alone 3.31 ± 0.19 0.36 ± 0.54 2.41 ± 0.45 0.54 ± 0.08 −0.05 ± 0.33 −0.03 ± 0.15
Lensing masses + Abundance 3.33 ± 0.04 0.14 ± 0.07 2.14 ± 0.06 0.58 ± 0.02 0.06 ± 0.11 0.13 ± 0.07
Lensing profiles + Abundance 3.37 ± 0.03 0.08 ± 0.07 2.18 ± 0.07 0.53 ± 0.03 0.20 ± 0.11 0.14 ± 0.05
Lensing profiles + Abundance (z < 0.8) 3.34 ± 0.04 −0.04 ± 0.13 2.16 ± 0.07 0.54 ± 0.02 0.17 ± 0.15 0.08 ± 0.08

Impact of the concentration-mass relation, Sect. 5.2.1

Duffy et al. 2008 3.33 ± 0.04 0.14 ± 0.07 2.14 ± 0.06 0.58 ± 0.02 0.06 ± 0.11 0.13 ± 0.07
Prada et al. 2012 3.40 ± 0.04 0.17 ± 0.06 2.22 ± 0.07 0.52 ± 0.03 0.02 ± 0.10 0.16 ± 0.05
Bhattacharya et al. 2013 3.37 ± 0.04 0.14 ± 0.08 2.19 ± 0.06 0.55 ± 0.03 0.07 ± 0.12 0.14 ± 0.05
Diemer Kravtsov 2014 3.38 ± 0.03 0.15 ± 0.07 2.20 ± 0.07 0.54 ± 0.03 0.06 ± 0.12 0.15 ± 0.05
free concentration 3.37 ± 0.04 0.14 ± 0.08 2.19 ± 0.08 0.54 ± 0.03 0.08 ± 0.14 0.15 ± 0.06

Impact of the dark matter density profile, Sect. 5.2.2

Navarro-Frenk-White (NFW) 3.37 ± 0.04 0.14 ± 0.08 2.19 ± 0.08 0.54 ± 0.03 0.08 ± 0.14 0.15 ± 0.06
Einasto 3.36 ± 0.04 0.13 ± 0.08 2.18 ± 0.07 0.55 ± 0.03 0.08 ± 0.14 0.14 ± 0.06
Hernquist 3.36 ± 0.05 0.14 ± 0.08 2.17 ± 0.08 0.55 ± 0.03 0.08 ± 0.13 0.13 ± 0.06

Impact of source photometric redshifts, Sect. 5.3.1

true source redshifts 3.37 ± 0.03 0.08 ± 0.07 2.18 ± 0.07 0.53 ± 0.03 0.20 ± 0.11 0.14 ± 0.05
BPZ 3.29 ± 0.03 −0.02 ± 0.08 2.07 ± 0.06 0.59 ± 0.02 0.32 ± 0.11 0.14 ± 0.06
BPZ (with factor 1+b) 3.33 ± 0.07 −0.04 ± 0.09 2.12 ± 0.11 0.55 ± 0.06 0.40 ± 0.15 0.13 ± 0.06
FlexZBoost 3.37 ± 0.03 0.09 ± 0.08 2.18 ± 0.06 0.54 ± 0.02 0.17 ± 0.12 0.14 ± 0.05
FlexZBoost (with factor 1+b) 3.33 ± 0.07 0.08 ± 0.07 2.12 ± 0.10 0.57 ± 0.06 0.17 ± 0.13 0.14 ± 0.06

Impact of shear-richness covariance, Sect. 5.3.2

Without Cov(ΔΣ, λ) correction 3.37 ± 0.03 0.08 ± 0.07 2.18 ± 0.07 0.53 ± 0.03 0.20 ± 0.12 0.14 ± 0.04
With Cov(ΔΣ, λ) correction 3.36 ± 0.03 0.09 ± 0.07 2.17 ± 0.06 0.54 ± 0.02 0.17 ± 0.12 0.14 ± 0.05
With Cov(ΔΣ, λ) correction - BPZ 3.28 ± 0.03 −0.02 ± 0.07 2.05 ± 0.07 0.61 ± 0.02 0.30 ± 0.10 0.14 ± 0.06
With Cov(ΔΣ, λ) correction - FlexZBoost 3.36 ± 0.03 0.09 ± 0.08 2.17 ± 0.06 0.55 ± 0.02 0.16 ± 0.13 0.15 ± 0.05
With Cov(ΔΣ, λ) correction - BPZ (1+b) 3.34 ± 0.07 −0.01 ± 0.08 2.13 ± 0.10 0.55 ± 0.06 0.36 ± 0.14 0.14 ± 0.06
With Cov(ΔΣ, λ) correction - FlexZBoost (1+b) 3.34 ± 0.07 0.10 ± 0.08 2.16 ± 0.09 0.56 ± 0.06 0.13 ± 0.14 0.13 ± 0.06

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