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Table 2:

Constraints on $\sigma _8\left (\Omega _{\rm m}/0.3\right )^{\alpha }$, $\Omega _{\rm m}$, $\Omega _{\rm DE}$, and w from the COSMOS data for different cosmological models and analysis schemes.

Cosmology
Analysis $\alpha$ $\sigma _8\left (\Omega _{\rm m}/0.3\right )^{\alpha }$ $\Omega _{\rm m}$ $\Omega _{\rm DE}$ w
Flat $\Lambda $CDM 3D 0.51 $0.79\pm 0.09$ $\rm0.32^{+0.34}_{-0.11}$ $\rm0.68^{+0.11}_{-0.34}$ -1
Flat $\Lambda $CDM 2D 0.62 $0.68\pm 0.11$ $\rm0.30^{+0.44}_{-0.15}$ $\rm0.70^{+0.15}_{-0.44}$ -1
General $\Lambda $CDM 3D 0.77 $0.74\pm 0.12$ $\rm0.43^{+0.40}_{-0.19}$ $\rm0.97^{+0.39}_{-0.60}$ -1
Flat wCDM 3D 0.47 $0.79\pm 0.09$ $\rm0.30^{+0.39}_{-0.11}$ $\rm0.70^{+0.11}_{-0.39}$ $\rm -1.23^{+0.79}_{-0.50}$

Notes. Here we use our default priors and quote the marginalized mean and 68.3% confidence limits (16th and 84th percentiles) assuming non-linear power spectrum corrections according to Smith et al. (2003) and the description given in Sect. 6.2. Our analysis of the Millennium Simulation (Sect. 6.4) suggests that the $\sigma _8$-estimates should be reduced by a factor $\times$0.95 due to biased model predictions for the non-linear power spectrum and reduced shear corrections. The power-law slopes $\alpha$ have typical fit uncertainties of $\sigma_\alpha\simeq 0.02$.


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