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Related papers: $\texttt{SBi3PCF:}$ Simulation-based inference wit…

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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…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Sunao Sugiyama , Rafael C. H. Gomes , Mike Jarvis

Building on previous developments of a harmonic decomposition framework for computing the three-point correlation function (3PCF) of projected scalar fields over the sky, this work investigates how much cosmological information is contained…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Sofia Samario-Nava , Alejandro Aviles , Juan Carlos Hidalgo

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-25 Lucas Porth , Sven Heydenreich , Pierre Burger , Laila Linke , Peter Schneider

We present the integrated 3-point shear correlation function $i\zeta_{\pm}$ -- a higher-order statistic of the cosmic shear field -- which can be directly estimated in wide-area weak lensing surveys without measuring the full 3-point shear…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-05 Anik Halder , Oliver Friedrich , Stella Seitz , Tamas N. Varga

The integrated shear 3-point correlation function $\zeta_{\pm}$ measures the correlation between the local shear 2-point function $\xi_{\pm}$ and the 1-point shear aperture mass in patches of the sky. Unlike other higher-order statistics,…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-17 Zhengyangguang Gong , Anik Halder , Alexandre Barreira , Stella Seitz , Oliver Friedrich

We provide a systematic study of the position-dependent correlation function in weak lensing convergence maps and its relation to the squeezed limit of the three-point correlation function (3PCF) using state-of-the-art numerical…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-14 D. Munshi , G. Jung , T. D. Kitching , J. McEwen , M. Liguori , T. Namikawa , A. Heavens

Cosmological weak lensing measurements rely on a precise measurement of the shear two-point correlation function (2PCF) along with a deep understanding of systematics that affect it. In this work, we demonstrate a general framework for…

Data-driven approaches using deep learning are emerging as powerful techniques to extract non-Gaussian information from cosmological large-scale structure. This work presents the first simulation-based inference (SBI) pipeline that combines…

The three-point correlation function (3PCF) of the spin-2 fields, the cosmic shear and cosmic microwave background polarization fields, is a statistical measure of non-Gaussian signals. At each vertex of a triangle, the shear field has two…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Bhuvnesh Jain

The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space distortions. I investigate the projected 3PCF,…

Astrophysics · Physics 2009-11-10 Zheng Zheng

The 3-Point Correlation Function (3PCF), which measures correlations between triplets of galaxies encodes information about peculiar velocities, which distort the observed positions of galaxies along the line of sight away from their true…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-09 Karolina Garcia , Zachary Slepian

We present a Simulation-Based Inference (SBI) framework for cosmological parameter estimation via void lensing analysis. Despite the absence of an analytical model of void lensing, SBI can effectively learn posterior distributions through…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-09 Chen Su , Huanyuan Shan , Cheng Zhao , Wenshuo Xu , Jiajun Zhang

Cosmological analyses are moving past the well understood 2-point statistics to extract more information from cosmological fields. A natural step in extending inference pipelines to other summary statistics is to include higher order…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-20 Kai Lehman , Zhengyangguang Gong , David Gebauer , Stella Seitz , Jochen Weller

Ongoing and future spectroscopic galaxy surveys will cover unprecedented volumes with a number of objects large enough to effectively probe clustering anisotropies through higher-order statistics. In this work, we present a novel and…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Antonio Farina , Alfonso Veropalumbo , Enzo Branchini , Massimo Guidi

Precise cosmological inference from next-generation weak lensing surveys requires extracting non-Gaussian information beyond standard two-point statistics. We present a hybrid machine-learning (ML) framework that integrates field-level…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Jiacheng Ding , Chen Su , Ji Yao , Le Zhang , Huanyuan Shan

The integrated shear 3-point correlation function $\zeta_{\pm}$ is a higher-order statistic of the cosmic shear field that describes the modulation of the 2-point correlation function $\xi_{\pm}$ by long-wavelength features in the field.…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-16 Anik Halder , Alexandre Barreira

Extracting maximum cosmological information from current and upcoming large-scale structure data requires going beyond summary statistics as currently used in likelihood-based inference. Simulation-Based Inference (SBI) promises to enable…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Giulio Scelfo , Satvik Mishra , Mauro Rigo , Roberto Trotta , Matteo Viel

The three-point correlation function (3PCF) provides an important view into the clustering of galaxies that is not available to its lower order cousin, the two-point correlation function (2PCF). Higher order statistics, such as the 3PCF,…

We investigate the impact of the observed correlation between a galaxies shape and its surrounding density field on the measurement of third order weak lensing shear statistics. Using numerical simulations, we estimate the systematic error…

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