Euclid preparation - LXXXV. Toward a DR1 application of higher-order weak lensing statistics

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Table 2.

Summary of the statistics investigated in this work, their abbreviations, and the implemented code.

Statistics	Abbreviation	Algorithm
Shear two-point correlation functions	γ-2PCFs (ξ₊/ξ₋)	`TreeCorr`
Convergence two-point correlation function	κ-2PCF (ξ_κ)	`TreeCorr`
One-point probability distribution function	PDF (𝒫)	Paper I, Castiblanco et al. (2024)
ℓ 1−norm	ℓ 1−norm	Sreekanth et al. (2024)
Peak counts	peaks (N)	`lenspack`
Minkowski functionals	MFs (V₀, V₁, V₂)	Vicinanza et al. (2019)
Betti numbers	BNs (β₀, β₁)	Parroni et al. (2021)

Notes. All estimators are measured from κ (low-pass top-hat filter) and M_ap, γ (high-pass Starlet wavelet filter, Leonard et al. 2012). Finally, three smoothing scales [2 $\overset{'}{.}$ $Mathematical equation: $ {{\overset{\prime}{.}}}$$ 34, 4 $\overset{'}{.}$ $Mathematical equation: $ {{\overset{\prime}{.}}}$$ 68, 9 $\overset{'}{.}$ $Mathematical equation: $ {{\overset{\prime}{.}}}$$ 38] are applied to the mass maps prior to the statistic measurement.

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