Euclid preparation - LXV. Determining the weak lensing mass accuracy and precision for galaxy clusters

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Volume 695 (March 2025)

A&A, 695 (2025) A280

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Table A.1.

Properties of the different samples of the analysis.

data set	lens catalogue				source catalogue				covariance	mask fraction	model	prior
		selection	size	position	redshift	shape noise	selection	density					redshift
	LSS + shape nosie (4)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1\\ \log M_{\mathrm{sim}} \gtrsim 13.7\end{array}$	6155	true	true	σ_ϵ = 0.26	z_s > z_d + 0.1	30 arcmin⁻²					true	stat + LSS	none	NFW	$\begin{matrix} uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r} \mathrm{uniform}\\\log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
photo-z non-conservative (5.1.1)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1\\ \log M_{\mathrm{sim}} \gtrsim 13.7\end{array}$	6155	true	true	σ_ϵ = 0.26	z_s > z_d + 0.1	30 arcmin⁻²	$\begin{matrix} normal \\ μ_{\tilde{Δ} z} = - 0.002 \\ σ_{\tilde{Δ} z} = 0.45 \\ 12.7 % outliers \end{matrix}$ $\begin{array}{r}{\mathrm{normal}}\\ \mu_{\tilde{\Delta} z} = -0.002\\ \sigma_{\tilde{\Delta} z} = 0.45\\ 12.7\%\,\mathrm{outliers}\end{array}$	stat + LSS	none	NFW	$\begin{matrix} uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{uniform}\\ \log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
photo-z robust (5.1.2)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1\\ \log M_{\mathrm{sim}} \gtrsim 13.7\end{array}$	6155	true	true	σ_ϵ = 0.26	$\begin{matrix} z_{s} > z_{d} + 2 σ_{\tilde{Δ} z} + 0.1 \\ 30 % removed \end{matrix}$ $\begin{array}{r}z_{\mathrm{s}} > z_{\mathrm{d}} + 2\sigma_{\tilde{\Delta} z} + 0.1\\30\%\,\mathrm{removed}\end{array}$	21 arcmin⁻²	$\begin{matrix} normal \\ μ_{\tilde{Δ} z} = - 0.003 \\ σ_{\tilde{Δ} z} = 0.29 \end{matrix}$ $\begin{array}{r}{\mathrm{normal}}\\\mu_{\tilde{\Delta} z} = -0.003\\ \sigma_{\tilde{\Delta} z} = 0.29\end{array}$	stat + LSS	none	NFW	$\begin{matrix} log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
`AMICO`-like (5.2)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \\ AMICO detection \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1 \\ \log M_{\mathrm{sim}} \gtrsim 13.7 \\ {\mathtt{AMICO}}~\mathrm{detection}\end{array}$	4557	$\begin{matrix} \log - normal \\ μ = 0.22 \\ σ = 0.19 \end{matrix}$ $\begin{array}{r} \mathrm{log-normal}\\ \mu = 0.22 \\ \sigma = 0.19\end{array}$	$σ_{\tilde{Δ} z} = 0.03 / \sqrt{M}$ $\sigma_{\tilde{\Delta} z} = 0.03 / \sqrt{M}$	σ_ϵ = 0.26	z_s > z_d + 0.1	30 arcmin⁻²	true	stat + LSS	none	NFW	$\begin{matrix} uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{uniform}\\ \log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
`PZWav`-like (5.2)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \\ PZWav detection \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1 \\ \log M_{\mathrm{sim}} \gtrsim 13.7\\ {\mathtt{PZWav}}~\mathrm{detection}\end{array}$	4954	$\begin{matrix} \log - normal \\ μ = 0.27 \\ σ = 0.45 \end{matrix}$ $\begin{array}{r} \mathrm{log-normal}\\ \mu = 0.27 \\ \sigma = 0.45\end{array}$	$σ_{\tilde{Δ} z} = 0.03 / \sqrt{M}$ $\sigma_{\tilde{\Delta} z} = 0.03 / \sqrt{M}$	σ_ϵ = 0.26	z_s > z_d + 0.1	30 arcmin⁻²	true	stat + LSS	none	NFW	$\begin{matrix} uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{uniform}\\ \log M_{\mathrm{200c}} \in [13, 16] \\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
masks (5.3)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1 \\ \log M_{\mathrm{sim}} \gtrsim 13.7\end{array}$	4756	true	true	σ_ϵ = 0.26	z_s > z_d + 0.1	23 arcmin⁻²	true	stat + LSS	22.4%	NFW	$\begin{matrix} uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{uniform}\\ \log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
BMO + prior (6)	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1\\ \log M_{\mathrm{sim}} \gtrsim 13.7\end{array}$	6155	true	true	σ_ϵ = 0.26	z_s > z_d + 0.1	30 arcmin⁻²	true	stat + LSS	none	BMO	$\begin{matrix} Gaussian + uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{Gaussian + uniform}\\ \log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$
$\begin{matrix} photo- z robust + \\ AMICO -like + \\ masks + (7) \\ BMO + prior \end{matrix}$ $\begin{array}{l} \text{ photo-}z \text{ robust} \,+\\ {\mathtt{AMICO}}\text{-like} \,+ \\ \text{ masks} + {\quad\quad\quad}(7)\\ \text{ BMO} + \text{ prior} \end{array}$	$\begin{matrix} z_{d} < 1 \\ log M_{sim} ≳ 13.7 \\ AMICO detection \end{matrix}$ $\begin{array}{r} z_{\mathrm{d}} < 1 \\ \log M_{\mathrm{sim}} \gtrsim 13.7\\ {\mathtt{AMICO}}~\mathrm{detection}\end{array}$	3547	$\begin{matrix} \log - normal \\ μ = 0.22 \\ σ = 0.19 \end{matrix}$ $\begin{array}{r}\mathrm{log-normal}\\ \mu = 0.22\\ \sigma = 0.19\end{array}$	$σ_{\tilde{Δ} z} = 0.03 / \sqrt{M}$ $\sigma_{\tilde{\Delta} z} = 0.03 / \sqrt{M}$	σ_ϵ = 0.26	$\begin{matrix} z_{s} > z_{d} + 2 σ_{\tilde{Δ} z} + 0.1 \\ 30 % removed \end{matrix}$ $\begin{array}{r} z_{\mathrm{s}} > z_{\mathrm{d}} + 2\sigma_{\tilde{\Delta} z} + 0.1\\ 30\%~\mathrm{removed}\end{array}$	16 arcmin⁻²	$\begin{matrix} normal \\ μ_{\tilde{Δ} z} = - 0.003 \\ σ_{\tilde{Δ} z} = 0.29 \end{matrix}$ $\begin{array}{r}{\mathrm{normal}}\\\mu_{\tilde{\Delta} z} = -0.003\\ \sigma_{\tilde{\Delta} z} = 0.29\end{array}$	stat + LSS	22.4%	BMO	$\begin{matrix} Gaussian + uniform \\ log M_{200 c} \in [13, 16] \\ log c_{200 c} \in [0, 1] \end{matrix}$ $\begin{array}{r}\mathrm{{Gaussian} + \rm{uniform}}\\ \log M_{\mathrm{200c}} \in [13, 16]\\ \log c_{\mathrm{200c}} \in [0, 1]\end{array}$

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