A road map to cosmological parameter analysis with third-order shear statistics: III. Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data

Porth, Lucas; Heydenreich, Sven; Burger, Pierre; Linke, Laila; Schneider, Peter

doi:10.1051/0004-6361/202347987

Title: A road map to cosmological parameter analysis with third-order shear statistics: III. Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data

Journal Article · 19 September 2024 · Astronomy and Astrophysics

DOI: https://doi.org/10.1051/0004-6361/202347987 · OSTI ID:2447201

; Heydenreich, Sven;

;

Context. Third-order lensing statistics contain a wealth of cosmological information that is not captured by second-order statistics. However, the computational effort it takes to estimate such statistics in forthcoming stage IV surveys is prohibitively expensive. Aims. We derive and validate an efficient estimation procedure for the three-point correlation function (3PCF) of polar fields such as weak lensing shear. We then use our approach to measure the shear 3PCF and the third-order aperture mass statistics on the KiDS-1000 survey. Methods We constructed an efficient estimator for third-order shear statistics that builds on the multipole decomposition of the 3PCF. We then validated our estimator on mock ellipticity catalogs obtained from N -body simulations. Finally, we applied our estimator to the KiDS-1000 data and presented a measurement of the third-order aperture statistics in a tomographic setup. Results. Our estimator provides a speedup of a factor of ∼100–1000 compared to the state-of-the-art estimation procedures. It is also able to provide accurate measurements for squeezed and folded triangle configurations without additional computational effort. We report a significant detection of tomographic third-order aperture mass statistics in the KiDS-1000 data (S/N = 6.69). Conclusions. Our estimator will make it computationally feasible to measure third-order shear statistics in forthcoming stage IV surveys. Furthermore, it can be used to construct empirical covariance matrices for such statistics.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0019301

OSTI ID:: 2447201

Journal Information:: Astronomy and Astrophysics, Journal Name: Astronomy and Astrophysics Vol. 689; ISSN 0004-6361

Publisher:: EDP SciencesCopyright Statement

Country of Publication:: Germany

Language:: English

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