Euclid: Impact of non-linear and baryonic feedback prescriptions on cosmological parameter estimation from weak lensing cosmic shear

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Table 4.

Mean values, marginalised 68% errors, and biases in cosmological parameters.

		`Halofit`			`HMCode`
θ	ℓ_max	θ^⋆	σ	B	θ^⋆	σ	B
	1500	0.02244	0.00011	0.08	0.02240	0.00012	0.43
ω_b, 0
	5000	0.02243	0.00012	0.15	0.02246	0.00012	0.05

	1500	0.12056	0.00036	0	0.12101	0.00039	1.16
ω_c, 0
	5000	0.12054	0.00038	0.053	0.12112	0.00036	1.57

	1500	0.6689	0.0069	0.16	0.6702	0.0096	0.02
h
	5000	0.6683	0.0048	0.36	0.6899	0.0066	3.02

	1500	3.0591	0.0086	0.09	3.0657	0.0088	0.84
ln(10¹⁰A_s)
	5000	3.0593	0.0090	0.10	3.0656	0.0086	0.85

	1500	0.9602	0.0025	0.06	0.9615	0.0027	0.57
n_s
	5000	0.9604	0.0023	0.18	0.9556	0.0023	1.90

	1500	−0.888	0.085	0.14	−0.869	0.099	0.31
w₀
	5000	−0.888	0.060	0.21	−1.021	0.064	1.88

	1500	0.07	0.21	0.14	−0.02	0.25	0.50
w_a
	5000	0.07	0.16	0.16	0.29	0.16	1.22

	1500	0.3212	0.0065	0.18	0.3209	0.0090	0.10
Ω_m, 0
	5000	0.32164	0.0046	0.36	0.3031	0.0057	2.96

	1500	0.7852	0.0058	0.14	0.7938	0.0071	1.09
σ₈
	5000	0.7847	0.0041	0.30	0.8080	0.0048	4.62

	1500	0.60			32.04
Δχ²
	5000	1.06			62.34

Notes. The values are obtained by fitting mock Planck and Euclid WL data to either HMCode without baryonic feedback or Halofit without PKequal non-linear corrections. The last row shows Δχ². By construction χ² = 0, unless the configuration of the MCMC sampling does not match the one used to create the fiducial synthetic dataset. The number of degrees of freedom in this case is 11 (the number of free parameters in the model; Ω_m, 0 and σ₈ are derived parameters), which enables one to compare Δχ² to the corresponding confidence interval.

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