Table 4.
Impact of magnification on the full-shape analysis.
| θ |
||||||||
|---|---|---|---|---|---|---|---|---|
| Quantity | Ωm, 0 | h | ns | Ωb, 0 | σ8 | w0 | wa | |
| 1 − σmagn/σnomagn (ΛCDM) (%) | 4.16 | 4.21 | 0.92 | 5.26 | 5.05 | – | – | |
| 1 − σmagn/σnomagn (w0waCDM) (%) | 0.26 | 1.64 | –0.26 | 0.34 | 6.30 | 10.20 | 9.90 | |
| Fisher | 1 − σsmarg/σnomagn (ΛCDM) (%) | –6.29 | –6.28 | –1.80 | –6.22 | –6.35 | – | – |
| 1 − σsmarg/σnomagn (w0waCDM) (%) | –0.02 | –0.01 | –1.87 | –0.01 | –9.58 | –10.41 | –10.75 | |
| Δ(θ)/σ(θ) (ΛCDM) | 0.53 | –0.55 | –0.41 | 0.56 | –0.74 | – | – | |
| Δ(θ)/σ(θ) (w0waCDM) | –0.03 | 0.03 | –0.44 | –0.01 | –0.19 | 0.03 | –0.12 | |
| MCMC | 1 − σmagn/σnomagn (ΛCDM) (%) | 7.61 | –3.53 | 0.0 | 7.75 | –3.23 | – | – |
| Δ(θ)/σ(θ) (ΛCDM) | 0.71 | –0.66 | –0.36 | 0.72 | –0.81 | – | – | |
Notes. The two blocks show our results for the Fisher analysis (top block) and the MCMC analysis (bottom block). Fisher analysis: the first two rows show the difference in constraints for a ΛCDM cosmology (top) and a w0waCDM cosmology (bottom) between the model without lensing magnification, and one with lensing magnification, obtained using the Fisher formalism. First row: in the model with magnification, the local count slope parameters are fixed, that is, the values of s(z) are assumed to be exactly known. Second row: we assume no prior knowledge on the local counts slope, we marginalise over its values in each redshift bin. The third row show the shifts in the best-fit estimates due to neglecting magnification in the theory model in ΛCDM cosmology and a w0waCDM cosmology (bottom). MCMC analysis: we show the improvement in cosmological constraints (assuming exact knowledge of the local count slope parameters), and the shifts in the best-fit estimates when magnification is neglected, for a ΛCDM cosmology.
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