Table 3.
Fiducial prior ranges used in the analysis of KiDS-Legacy.
| Parameter | Prior range |
|---|---|
| S8 | [0.5,1.0] |
| Ωch2 | [0.051,0.255] |
| Ωbh2 | [0.019,0.026] |
| ΩK | 0.0 |
| ns | [0.84,1.10] |
| h | [0.64,0.82] |
| log10(TAGN/K) | [7.3,8.3] |
| ∑mν | 0.06eV |
| w0 | −1.0 |
| wa | 0.0 |
| δz(i) | 𝒩(μz, Cδz) |
| AIA, bIA | 𝒩(μIA, Ab, CIA, Ab) |
| log10(⟨M⟩(i)) | 𝒩(μIA, M, CIA, M) |
Notes. Parameters in the first block are inputs to the P(k) emulator, and all use flat priors denoted by their lower and upper limits [lower, upper]. We sample over five cosmological parameters: S8, Ωc and Ωb (the density parameters for cold dark matter and baryonic matter, respectively); h (the dimensionless Hubble parameter); and ns (the spectral index of the primordial power spectrum). Additional inputs to the power spectrum emulator include four fixed cosmological parameters: ΩK (the energy density parameter associated with spatial curvature); w0 and wa (describing the equation of state of dark energy and its redshift evolution); and ∑mν (the total mass of all families of neutrinos). We also sample over the baryon feedback parameter from HMCODE2020 log10(TAGN/K). Parameters in the second block are implemented within additional COSMOSIS modules, and are used in the intrinsic alignment model (AIA, bIA, and log10(⟨M⟩(i))) or our redshift distribution bias mitigation (δz(i)). These sets of parameters are specified with multivariate Gaussian priors denoted by 𝒩(μx, Cx), where μ is the vector of prior means and C is the related covariance matrix. Values of μIA, x are given in Appendix B. Values of μz, diag(Cδz) are given in Table 1, and the correlation matrix of Cδz is shown in Fig. 3.
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