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Table 2.

Priors on the model parameters.

Parameter Prior
ΩM present-day 𝒩(0.286, 0.0322)
matter density
h scaled Hubble constant 0.7
amplitude of
σ8 matter fluctuation 𝒩(0.817, 0.0262)

SZe–mass scaling

lnASZ amplitude 𝒩(0.72, 0.092)
BSZ mass slope 𝒩(1.69, 0.062)
CSZ redshift trend 𝒩(0.50, 0.272)
σSZ intrinsic scatter 𝒩(0.20, 0.052)
calibration of
γECS SPT-ECS field depth 𝒩(1.05, 0.032)
minimal SZe
ζmin signal-to-noise 𝒰(0.2, 4)

richness–mass scaling

lnAλ amplitude 𝒰(3, 4.5)
Bλ mass slope 𝒰(0.7, 1.4)
Cλ redshift trend 𝒰(−1.5, 2)
σλ intrinsic scatter 𝒰(0.05, 0.4)

multivariante observables–mass relation

ρ correlation coefficient 𝒰(−0.8, 0.8)

mass-dependent scatter

log10Mbreak characteristic mass 𝒰(11, 16)
Bσ mass slope 𝒰(−0.5, 1.5)

contamination fraction

b0cont amplitude 𝒰(−5, 2)
bzcont redshift trend 𝒰(−2, 0)
a0cont richness trend 𝒰(−3.5, 0)

extended projection effects model

α0 amplitude 𝒰(−5, 2)
αz redshift trend 𝒰(−1, 11)
αλ richness trend 𝒰(−0.7, 0.7)

Notes. 𝒩(μ, v) denotes a Gaussian distribution with mean μ and variance v, 𝒰(a, b) a uniform distribution in the interval (a, b).

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