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Table 1.

Observable-mass relation and cosmology parameter priors.

Parameter Description Prior
tSZE detection significance ζ-mass relation

lnζ0 Amplitude 𝒰(0.01, 1.5)
ζM Mass trend 𝒰(0.5, 3)
ζz Redshift trend 𝒰(−5, 5)
σlnζ Intrinsic scatter 𝒰(0.01, 0.5)

Optical richness λ-mass relation

λ0 Amplitude 𝒰(10, 70)
λM Mass trend 𝒰(0.2, 2)
λz Redshift trend 𝒰(−5, 5)
σlnλ Intrinsic scatter 𝒰(0.01, 0.5)

MWL − M200c relation

lnMWL0 Amplitude of bias 0
σlnMWL0, 1 Error on amplitude 𝒩(0,1)
σlnMWL0, 2 Error on amplitude 𝒩(0,1)
MWLM Mass trend of bias 𝒩(1.000, 0.0062)
lnσlnWL02(z0) Amplitude of scatter 𝒩(−3.11,0.04)
lnσlnWL02(z1) Amplitude of scatter 𝒩(−3.07, 0.05)
lnσlnWL02(z2) Amplitude of scatter 𝒩(−2.84,0.06)
lnσlnWL02(z3) Amplitude of scatter 𝒩(−1.94,0.10)
σlnWLM2 Mass trend of scatter 𝒩(−0.23,0.042)

Cosmology

Ωm Matter density 𝒩(0.315, 0.007)
log10As Amplitude of P(k) Fixed to −8.696
H0 Hubble parameter Fixed to 70
Ωb, 0 Baryon density Fixed to 0.0493
ns Scalar spectral index Fixed to 0.96
w0, wa EoS parameters Fixed to −1, 0
mν Sum of neutrino masses Fixed to 0.06
Ωk, 0 Curvature density Fixed to 0

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