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 B.2.

Ensemble weighted average mass bias and scatter of median, CBI, mean, and ML point estimates.

Data Set	Median	CBI	Mean	ML
LSS + shape noise (4)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.235 \pm 0.013 \\ σ_{b} = 0.712 \pm 0.010 \end{matrix}$ $\left\{\!\!\begin{array}{l} \langle b_M \rangle = -0.235 \pm 0.013\\ \sigma_b = 0.712 \pm 0.010 \end{array}\right.$	$\begin{matrix} - 0.245 \pm 0.012 \\ 0.695 \pm 0.010 \end{matrix}$ $\begin{array}{c}-0.245 \pm 0.012 \\ 0.695 \pm 0.010\end{array}$	$\begin{matrix} - 0.267 \pm 0.012 \\ 0.657 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.267 \pm 0.012 \\ 0.657 \pm 0.011 \end{array}$	$\begin{matrix} - 0.146 \pm 0.017 \\ 1.071 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.146 \pm 0.017 \\ 1.071 \pm 0.011\end{array}$
Three Hundred (ECG)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.053 \pm 0.008 \\ σ_{b} = 0.221 \pm 0.009 \end{matrix}$ $\left\{\!\!\begin{array}{l} \langle b_M \rangle = -0.053 \pm 0.008\\ \sigma_b = 0.221 \pm 0.009 \end{array} \right.$	-	-	-
photo-z non-conservative (5.1.1)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.354 \pm 0.012 \\ σ_{b} = 0.681 \pm 0.009 \end{matrix}$ $\left\{\!\!\begin{array}{l}\langle b_M \rangle = -0.354 \pm 0.012\\ \sigma_b = 0.681 \pm 0.009 \end{array}\right.$	$\begin{matrix} - 0.360 \pm 0.011 \\ 0.662 \pm 0.010 \end{matrix}$ $\begin{array}{c}-0.360 \pm 0.011 \\ 0.662 \pm 0.010 \end{array}$	$\begin{matrix} - 0.375 \pm 0.010 \\ 0.626 \pm 0.010 \end{matrix}$ $\begin{array}{c}-0.375 \pm 0.010 \\ 0.626 \pm 0.010 \end{array}$	$\begin{matrix} - 0.334 \pm 0.016 \\ 1.066 \pm 0.010 \end{matrix}$ $\begin{array}{c} -0.334 \pm 0.016 \\ 1.066 \pm 0.010\end{array}$
photo-z robust (5.1.2)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.220 \pm 0.012 \\ σ_{b} = 0.743 \pm 0.010 \end{matrix}$ $\left\{\!\!\begin{array}{l} \langle b_M \rangle = -0.220 \pm 0.012\\ \sigma_b = 0.743 \pm 0.010 \end{array}\right.$	$\begin{matrix} - 0.230 \pm 0.013 \\ 0.724 \pm 0.010 \end{matrix}$ $\begin{array}{c}-0.230 \pm 0.013\\ 0.724 \pm 0.010\end{array}$	$\begin{matrix} - 0.255 \pm 0.012 \\ 0.681 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.255 \pm 0.012\\0.681 \pm 0.011\end{array}$	$\begin{matrix} - 0.146 \pm 0.019 \\ 1.137 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.146 \pm 0.019\\1.137 \pm 0.011\end{array}$
`AMICO`-like (5.2)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.273 \pm 0.014 \\ σ_{b} = 0.728 \pm 0.011 \end{matrix}$ $\left\{\!\!\begin{array}{l}\langle b_M \rangle = -0.273 \pm 0.014\\ \sigma_b = 0.728 \pm 0.011\end{array}\right.$	$\begin{matrix} - 0.282 \pm 0.015 \\ 0.712 \pm 0.011 \end{matrix}$ $\begin{array}{c} -0.282 \pm 0.015 \\ 0.712 \pm 0.011\end{array}$	$\begin{matrix} - 0.305 \pm 0.014 \\ 0.673 \pm 0.012 \end{matrix}$ $\begin{array}{c} -0.305 \pm 0.014 \\ 0.673 \pm 0.012\end{array}$	$\begin{matrix} - 0.182 \pm 0.020 \\ 1.085 \pm 0.013 \end{matrix}$ $\begin{array}{c} -0.182 \pm 0.020 \\ 1.085 \pm 0.013\end{array}$
`PZWav`-like (5.2)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.284 \pm 0.014 \\ σ_{b} = 0.731 \pm 0.012 \end{matrix}$ $\left\{\!\! \begin{array}{l}\langle b_M \rangle = -0.284 \pm 0.014 \\ \sigma_b = 0.731 \pm 0.012\end{array} \right.$	$\begin{matrix} - 0.294 \pm 0.014 \\ 0.714 \pm 0.012 \end{matrix}$ $\begin{array}{c}-0.294 \pm 0.014 \\ 0.714 \pm 0.012 \end{array}$	$\begin{matrix} - 0.316 \pm 0.013 \\ 0.676 \pm 0.012 \end{matrix}$ $\begin{array}{c}-0.316 \pm 0.013 \\ 0.676 \pm 0.012\end{array}$	$\begin{matrix} - 0.210 \pm 0.020 \\ 1.099 \pm 0.013 \end{matrix}$ $\begin{array}{c} -0.210 \pm 0.020 \\ 1.099 \pm 0.013\end{array}$
masks (5.3)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.225 \pm 0.014 \\ σ_{b} = 0.732 \pm 0.011 \end{matrix}$ $\left\{\!\! \begin{array}{l}\langle b_M \rangle = -0.225 \pm 0.014\\ \sigma_b = 0.732 \pm 0.011\end{array}\right.$	$\begin{matrix} - 0.235 \pm 0.014 \\ 0.714 \pm 0.012 \end{matrix}$ $\begin{array}{c} -0.235 \pm 0.014 \\ 0.714 \pm 0.012\end{array}$	$\begin{matrix} - 0.255 \pm 0.013 \\ 0.674 \pm 0.012 \end{matrix}$ $\begin{array}{c} -0.255 \pm 0.013 \\ 0.674 \pm 0.012\end{array}$	$\begin{matrix} - 0.139 \pm 0.021 \\ 1.101 \pm 0.013 \end{matrix}$ $\begin{array}{c} -0.139 \pm 0.021 \\ 1.101 \pm 0.013\end{array}$
BMO + prior (6)	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.271 \pm 0.010 \\ σ_{b} = 0.548 \pm 0.010 \end{matrix}$ $\left\{\!\!\begin{array}{l}\langle b_M \rangle = -0.271 \pm 0.010\\ \sigma_b = 0.548 \pm 0.010\end{array} \right.$	$\begin{matrix} - 0.284 \pm 0.010 \\ 0.544 \pm 0.010 \end{matrix}$ $\begin{array}{c}-0.284 \pm 0.010 \\ 0.544 \pm 0.010\end{array}$	$\begin{matrix} - 0.306 \pm 0.009 \\ 0.532 \pm 0.009 \end{matrix}$ $\begin{array}{c} -0.306 \pm 0.009 \\ 0.532 \pm 0.009\end{array}$	$\begin{matrix} - 0.138 \pm 0.017 \\ 1.069 \pm 0.011 \end{matrix}$ $\begin{array}{c} -0.138 \pm 0.017 \\ 1.069 \pm 0.011\end{array}$
$\begin{matrix} photo- z robust + \\ AMICO -like + \\ masks + (7) \\ BMO + prior \end{matrix}$ $\begin{array}{l} \text{ photo-}z \text{ robust} \,+\\ {\mathtt{AMICO}}\text{-like} \,+ \\ \text{ masks} + {\quad\quad\quad}(7)\\ \text{ BMO} + \text{ prior} \end{array}$	${\begin{matrix} ⟨ b_{M} ⟩ = - 0.322 \pm 0.014 \\ σ_{b} = 0.578 \pm 0.011 \end{matrix}$ $\left\{\!\! \begin{array}{l} \langle b_M\rangle = -0.322 \pm 0.014\\ \sigma_b = 0.578 \pm 0.011\end{array}\right.$	$\begin{matrix} - 0.334 \pm 0.013 \\ 0.574 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.334 \pm 0.013 \\ 0.574 \pm 0.011\end{array}$	$\begin{matrix} - 0.355 \pm 0.013 \\ 0.560 \pm 0.011 \end{matrix}$ $\begin{array}{c}-0.355 \pm 0.013 \\ 0.560 \pm 0.011\end{array}$	$\begin{matrix} - 0.154 \pm 0.025 \\ 1.180 \pm 0.014 \end{matrix}$ $\begin{array}{c}-0.154 \pm 0.025 \\ 1.180 \pm 0.014\end{array}$

Notes. Uncertainties are the standard deviation of the bootstrap sample distribution.

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