AMICO galaxy clusters in KiDS-1000: Cosmological constraints and mass calibration from counts and weak lensing

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Volume 703 (November 2025)

A&A, 703 (2025) A25

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Table 2.

Parameters considered in the joint analysis of stacked weak lensing and counts.

Parameter	Description	Prior	Posterior
$Ω_{CDM}$ $\Omega_{\mathrm{\scriptscriptstyle CDM}}$	Cold dark matter density parameter at z = 0	[0.1, 0.4]	${0.169}_{- 0.022}^{+ 0.024}$ ${0.169}^{+{0.024}}_{-{0.022}}$
10⁹A_s	Amplitude of the primordial matter power spectrum	[0.8, 8]	${3.75}_{- 0.80}^{+ 1.07}$ ${3.75}^{+{1.07}}_{-{0.80}}$
Ω_m	Total matter density parameter at z = 0	–	${0.218}_{- 0.021}^{+ 0.024}$ ${0.218}^{+{0.024}}_{-{0.021}}$
σ₈	Amplitude of the matter power spectrum at z = 0	–	${0.86}_{- 0.03}^{+ 0.03}$ ${0.86}^{+{0.03}}_{-{0.03}}$
S₈ ≡ σ₈(Ω_m/0.3)^0.5	Clustering amplitude	–	${0.74}_{- 0.03}^{+ 0.03}$ ${0.74}^{+{0.03}}_{-{0.03}}$
Ω_b	Baryon density parameter at z = 0	𝒩(0.0493, 0.0016)	–
n_s	Primordial power spectrum spectral index	𝒩(0.9649, 0.0210)	–
h ≡ H₀/(100 km/s/Mpc)	Normalised Hubble constant	𝒩(0.7, 0.03)	–
α	Amplitude of the log λ^* − log M₂₀₀ relation	[−2, 2]	${- 0.170}_{- 0.020}^{+ 0.017}$ ${-0.170}^{+{0.017}}_{-{0.020}}$
β	Slope of the log λ^* − log M₂₀₀ relation	[0, 3]	${0.553}_{- 0.021}^{+ 0.021}$ ${0.553}^{+{0.021}}_{-{0.021}}$
γ	Redshift evolution of the log λ^* − log M₂₀₀ relation	[−3, 3]	${0.32}_{- 0.26}^{+ 0.28}$ ${0.32}^{+{0.28}}_{-{0.26}}$
σ_intr	Intrinsic scatter of the log λ^* − log M₂₀₀ relation	[0.01, 0.5]	${0.052}_{- 0.015}^{+ 0.023}$ ${0.052}^{+{0.023}}_{-{0.015}}$
log c₀	Amplitude of the log c₂₀₀ − log M₂₀₀ relation	[0, 1.3]	${0.42}_{- 0.13}^{+ 0.13}$ ${0.42}^{+{0.13}}_{-{0.13}}$
f_off	Fraction of miscentred clusters	𝒩(0.3, 0.1)	–
σ_off	Miscentring scale (in h⁻¹ Mpc)	[0, 0.5]	${0.24}_{- 0.11}^{+ 0.11}$ ${0.24}^{+{0.11}}_{-{0.11}}$
F_t	Truncation factor of the BMO density profile	𝒩(3, 0.5)	–
(s, q)	Parameters entering the mass function correction factor	$N (μ_{HMF}, C_{HMF})$ $\mathcal{N}(\mu_{\mathrm{\scriptscriptstyle HMF}}, C_{\mathrm{\scriptscriptstyle HMF}})$	–

Notes. In the first and second columns we list the symbols and descriptions of the parameters, respectively. The third column reports the priors on the parameters, and in particular a range represents a uniform prior, while 𝒩(μ, σ) stands for a Gaussian prior with mean μ and standard deviation σ. In the fourth column, we show the median values of the 1D marginalised posteriors, along with the 16th and 84th percentiles. The posterior is not reported in cases where it closely aligns with the prior.

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