Table 1

Summary of the priors used in the modeling (see Sect. 5.4 for more details).

Parameter Prior
The MWLM500z relation Eq. (42)

AWL or
BWL or
γwL or
σwL or

The ηM500z relation Eq. (48) with

Aη
Bη
δη
γη
ση and
Af
Bf
δf
γf

The χM500−z relation Eq. (46)

Bχ
δχ
γχ
σχ

χ = LX with

χ = Lb with

χ = TX with

χ = Mg with

χ = YX with

Correlated scatter


Mislefting

fmis
σmis

Cosmological parameters

ΩM
σ8
H0

Notes. The first and second columns represent the name of and the prior on the parameters, respectively. The former and latter priors on the parameters of the MWLM500z relation describe the cases of modeling the lensing profile with R > 0.2h−1Mpc and R > 0.5h−1Mpc, respectively.

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