Euclid preparation - LXXXIII. The impact of redshift interlopers on the two-point correlation function analysis

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Volume 707 (March 2026)

A&A, 707 (2026) A233

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Table 4.

Summary of all tests run in the MCMC, including the reference case (first line).

Model	Free parameters	Priors	n° free parameters
`correct vs. correct`	fσ₈, b, σ_p	𝒰(0; 10), 𝒰(0; 20), 𝒰(0; 20) h⁻¹Mpc	3

`contam vs. correct`	fσ₈, b, σ_p	𝒰(0; 10), 𝒰(0; 20), 𝒰(0; 20) h⁻¹Mpc	3

`contam vs. p*correct`	fσ₈, b, σ_p	𝒰(0; 10), 𝒰(0; 20), 𝒰(0; 20) h⁻¹Mpc	3

`contam vs. (1 − f_c)²*correct`	fσ₈, b, σ_p, f_c	𝒰(0; 10), 𝒰(0; 20), 𝒰(0; 20) h⁻¹Mpc, 𝒰(f_c, min; f_c, max)	4

	fσ₈, b, m_b,	𝒰(0; 1), 𝒰(0; 5), 𝒰(0; 3)

`contam vs. correct+line`	σ_p, $σ_{p}^{O I I I}$ $Mathematical equation: $ \sigma_{\mathrm{p}}^{{\mathrm{O}{\small { {\text{ III}}}}}} $$ , $σ_{p}^{S I I I}$ $Mathematical equation: $ \sigma_{\mathrm{p}}^{{\mathrm{S}{\small { {\text{ III}}}}}} $$	𝒰(0; 20) h⁻¹Mpc, 𝒰(0; 20) h⁻¹Mpc, 𝒰(0; 20) h⁻¹Mpc	6

Notes. Instances like ‘A vs. B’ should be interpreted as ‘measurement A fitted against model B’.

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