The authors derive the fourth-order galaxy-galaxy lensing 4PCF and aperture statistics, implement a numerical pipeline and FFT estimator, and detect the connected ⟨N³ M_ap⟩ signal at SNR ~9 in stage IV mock data over 2000 deg².
<i>Euclid</i>preparation
8 Pith papers cite this work, alongside 72 external citations. Polarity classification is still indexing.
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2026 8representative citing papers
Joint 2nd- and 3rd-order cosmic shear analysis on KiDS-Legacy data produces Ω_m = 0.297^{+0.056}_{-0.040} and S_8 = 0.806^{+0.025}_{-0.023}, consistent with Planck and prior KiDS results while improving Ω_m precision.
CosmoPostProcess delivers simulation-calibrated radial corrections for projection-induced selection bias (20-40% amplitude near 1 h^{-1} Mpc) and baryonic effects in Euclid richness-selected cluster weak lensing profiles.
Validates redshift-space power spectrum and bispectrum analysis on Abacus-PNG mocks to recover unbiased f_NL constraints for Euclid spectroscopic sample.
A catalogue of 62 million galaxy shapes from 3500 sq deg of UNIONS r-band imaging achieves an effective source density of 4.96 arcmin^{-2} and shape noise of 0.27 after PSF calibration and validation.
End-to-end validation on Euclid-like mocks shows RecSym and RecIso reconstruction yield unbiased BAO measurements, improving figure of merit for Omega_m and H0 rs by factor of ~3 across 0.9<z<1.8.
Euclid collaboration develops and validates direct and spherical-harmonic estimators plus a random-split optimization for measuring the three-point galaxy correlation function at the scale of the full Euclid survey.
SHARP on ELT will enable the first mapping of z>9 Lyα nebulae at scales from 150 pc to 100 kpc.
citing papers explorer
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Unveiling the Cosmic Dawn with SHARP: Probing extended Lyman-$\alpha$ nebulae in a Universe less than 600 Myr old
SHARP on ELT will enable the first mapping of z>9 Lyα nebulae at scales from 150 pc to 100 kpc.