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Table 2.

Model parameters and their priors grouped by the concordance model, extensions, and nuisance.

Type Parameter Prior Description
Flat ΛCDM ωcdm 𝒰(0.051, 0.255) Cold dark matter density
ωb 𝒰(0.019, 0.026) Baryon density
h 𝒰(0.64, 0.82) Reduced Hubble parameter
ns 𝒰(0.84, 1.1) Spectral index of the primordial power spectrum

S8 𝒰(0.5, 1.0) Structure growth parameter
ln 1010As 𝒰(2.9, 3.2) Matter power spectrum amplitude

Extended mν[eV] 𝒰(0, 3) Sum of the neutrino masses
w0 𝒰(−3, 0) Dark energy equation of state today
wa 𝒰(−5, 5) Linear slope of the dark energy equation of state
ΩK 𝒰(−0.3, 0.3) Spatial curvature density parameter

Nuisance log10TAGN 𝒰(7.3, 8.3) Baryon feedback parameter
AIA 𝒩(5.74, CAIA, β) Amplitude of intrinsic galaxy alignments for red galaxies
β 𝒩(0.44, CAIA, β) Slope of the mass scaling of intrinsic galaxy alignments
log10Mi 𝒩(μ, CM) Mean halo mass of early-type galaxies per tomographic bin i
δz, i 𝒩(μ, Cz) Shift of the mean of the redshift distribution per tomographic bin i

Notes. The first two columns specify the types of the sampling parameters and the parameter names, respectively. The third column gives the priors used, with uniform priors denoted by their interval 𝒰, and Gaussian priors by 𝒩(μ, σ). The fourth column offers a brief description of each parameter. For more details on the chosen priors, see Wright et al. (2025b), Stölzner et al. (2025), Wright et al. (2025a). For nuisance parameters of the external probes, we use the fiducial priors from the respective analyses. When including any CMB data, we sample over log As instead of S8 and derive S8 instead. All constraints in Table 4 are, however, given in terms of S8 only. We tested that this choice does not introduce any information and yields the same cosmological constraints.

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