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Third-order lensing statistics contain a wealth of cosmological information that is not captured by second-order statistics. However, the computational effort for estimating such statistics on forthcoming stage IV surveys is prohibitively…

宇宙学与河外天体物理 · 物理学 2024-09-25 Lucas Porth , Sven Heydenreich , Pierre Burger , Laila Linke , Peter Schneider

Higher-order shear statistics contain part of the non-Gaussian information of the projected matter field and therefore can provide additional constraints on the cosmological parameters when combined with second-order statistics. We aim to…

宇宙学与河外天体物理 · 物理学 2026-04-15 Elena Silvestre-Rosello , Lucas Porth , Peter Schneider , Laila Linke , Jonas Krueger , Sebastian Grandis , Jonathan Oel

Traditional galaxy-galaxy lensing is a well-established method of probing the statistical properties of the Universe's matter and galaxy distribution. However, this measure does not carry all the statistical information, provided the matter…

宇宙学与河外天体物理 · 物理学 2026-04-21 Jonathan Oel , Lucas Porth , Peter Schneider , Elena Silvestre-Rosello

We explore an alternative method to the usual shear correlation function approach for the estimation of aperture mass statistics in weak lensing survey data. Our approach builds on the direct estimator method. In this paper, we extend our…

宇宙学与河外天体物理 · 物理学 2021-10-13 Lucas Porth , Robert E. Smith

The three-point correlation function (3PCF) of a weak lensing shear field contains information that is complementary to that in the two-point correlation function (2PCF), which can help improve the cosmological parameters and calibrate…

宇宙学与河外天体物理 · 物理学 2024-07-03 Sunao Sugiyama , Rafael C. H. Gomes , Mike Jarvis

We present a cosmological analysis of the third-order aperture mass statistic using Dark Energy Survey Year 3 (DES Y3) data. We perform a complete tomographic measurement of the three-point correlation function of the Y3 weak lensing shape…

Third-order weak lensing statistics are a promising tool for cosmological analyses since they extract cosmological information in the non-Gaussianity of the cosmic large-scale structure. However, such analyses require precise and accurate…

宇宙学与河外天体物理 · 物理学 2023-04-26 Laila Linke , Sven Heydenreich , Pierre A. Burger , Peter Schneider

In this work, which is the first of a series to prepare a cosmological parameter analysis with third-order cosmic shear statistics, we model both the shear three-point correlation functions $\Gamma^{(i)}$ and the third-order aperture…

宇宙学与河外天体物理 · 物理学 2023-04-05 Sven Heydenreich , Laila Linke , Pierre Burger , Peter Schneider

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

宇宙学与河外天体物理 · 物理学 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

We explore an alternative method to the usual shear correlation function approach for the estimation of aperture mass statistics in weak lensing survey data. Our approach builds on the direct estimator method of Schneider (1998). In this…

宇宙学与河外天体物理 · 物理学 2020-09-30 Lucas Porth , Robert E. Smith , Patrick Simon , Laura Marian , Stefan Hilbert

Weak gravitational lensing is a powerful probe of cosmology, with second-order shear statistics commonly used to constrain parameters such as the matter density $\Omega_\mathrm{m}$ and the clustering amplitude $S_8$. However, parameter…

宇宙学与河外天体物理 · 物理学 2025-09-26 Niek Wielders , Laila Linke , Pierre A. Burger , Sven Heydenreich , Lucas Porth , Peter Schneider

As imaging surveys progress in exploring the large-scale structure of the Universe through the use of weak gravitational lensing, achieving subpercent accuracy in estimating shape distortions caused by lensing, or shear, is imperative for…

宇宙学与河外天体物理 · 物理学 2024-11-22 Andy Park , Xiangchong Li , Rachel Mandelbaum

We study the relation of the three-point cosmic shear statistics to the third-order statistical properties of the underlying convergence, expressed in terms of its bispectrum. Explicit relations for the natural components of the shear…

天体物理学 · 物理学 2009-11-16 Peter Schneider , Martin Kilbinger , Marco Lombardi

When extracting the weak lensing shear signal, one may employ either locally normalized or globally normalized shear estimators. The former is the standard approach when estimating cluster masses, while the latter is the more common method…

宇宙学与河外天体物理 · 物理学 2015-05-19 Eduardo Rozo , Hao-Yi Wu , Fabian Schmidt

Owing to their more extensive sky coverage and tighter control on systematic errors, future deep weak lensing surveys should provide a better statistical picture of the dark matter clustering beyond the level of the power spectrum. In this…

宇宙学与河外天体物理 · 物理学 2015-05-18 Dipak Munshi , Joseph Smidt , Alan Heavens , Peter Coles , Asantha Cooray

Large area lensing surveys are expected to make it possible to use cosmic shear tomography as a tool to severely constrain cosmological parameters. To this end, one typically relies on second order statistics such as the two - point…

宇宙学与河外天体物理 · 物理学 2016-06-30 M. Vicinanza , V. F. Cardone , R. Maoli , R. Scaramella , X. Er

We introduce a collection of statistics appropriate for the study of spinorial quantities defined in three dimensions, focussing on applications to cosmological weak gravitational lensing studies in 3D. In particular, we concentrate on…

宇宙学与河外天体物理 · 物理学 2015-05-20 Dipak Munshi , Thomas Kitching , Alan Heavens , Peter Coles
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