Table 3.
Summary statistics for the forecast of the impact of the baryon mass correction model on Euclid’s cluster count cosmological constraints on Ωm and σ8.
| ⟨fb, vir(M, z)⟩ |
|||||
|---|---|---|---|---|---|
| Summary statistics | Richness–mass relation priors | Baryonic treatment | Relation | Prior on α | Value |
| IOI | 1% | Ignoring | TNG300 | – | 1.8 ± 0.1 |
| Magneticum | 4.1 ± 0.2 | ||||
| 3% | Ignoring | TNG300 | – | 0.9 ± 0.1 | |
| Magneticum | 2.0 ± 0.2 | ||||
 |
1% | Our model | Magneticum | Perfect knowledge | 0.85 ± 0.02 |
| 1% | 0.78 ± 0.02 | ||||
| 10% | 0.33 ± 0.01 | ||||
| 3% | Our model | Magneticum | Perfect knowledge | 0.89 ± 0.03 | |
| 1% | 0.90 ± 0.03 | ||||
| 10% | 0.61 ± 0.02 | ||||
Notes. The IOI quantifies the tension in the posteriors for the different treatments with respect to hypothetical perfect knowledge of the model used to create the synthetic data (see text). The FOM ratio assesses the attenuation of the constraining power of the cluster counts once one marginalises the uncertainties of the model and the baryon content of the clusters. For both statistics, errors were estimated by sampling multivariate Gaussian distributions with the correlation extracted from the respective MCMC chains and recomputing the statistics from them.
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