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The nature of dark energy and the complete theory of gravity are two central questions currently facing cosmology. A vital tool for addressing them is the 3-point correlation function (3PCF), which probes deviations from a spatially random…

Aims. Our goal is to find the relation between the two-point correlation functions (CFs) of projected and spatial density fields of galaxies in the context of the cosmic web. Methods. To investigate relations between spatial (3D) and…

宇宙学与河外天体物理 · 物理学 2021-09-01 J. Einasto , G. Hütsi , M. Einasto

Spatial coherence plays an important role in several real-world applications ranging from imaging to communication. As a result, its accurate characterization and measurement are extremely crucial for its optimal application. However,…

光学 · 物理学 2024-03-04 Pranay Mohta , Abhinandan Bhattacharjee , Anand K. Jha

The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for clustering analysis of cosmic large scale structure. These functions are third order statistics but can be measured…

宇宙学与河外天体物理 · 物理学 2015-05-20 Kelai Meng , Jun Pan , Istvan Szapudi , Longlong Feng

We present the first calculation of the cross-correlation between three-dimensional cosmic shear and the integrated Sachs-Wolfe (iSW) effect. Both signals are combined in a single formalism, which permits the computation of the full…

宇宙学与河外天体物理 · 物理学 2016-03-22 Britta Zieser , Philipp M. Merkel

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

高能物理 - 理论 · 物理学 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

We study the statistics of weak lensing convergence peaks, such as their abundance and two-point correlation function (2PCF), for a wide range of cosmological parameters $\Omega_m$ and $\sigma_8$ within the standard $\Lambda$CDM paradigm,…

宇宙学与河外天体物理 · 物理学 2019-10-08 Christopher T. Davies , Marius Cautun , Baojiu Li

Weak gravitational lensing has emerged as a leading probe of the growth of cosmic structure. However, the shear signal is very small and accurate measurement depends critically on our ability to understand how non-ideal instrumental effects…

To render cosmic shear an astronomical tool of high precision, it is essential to eliminate systematic effects upon its signal, one of the most significant ones being correlations between the gravitational shear and the intrinsic…

天体物理学 · 物理学 2008-10-21 B. Joachimi , P. Schneider

The weak lensing signal (cosmic shear) has been shown to be strongly contaminated by the various types of galaxy intrinsic alignment (IA) correlations, which poses a barrier to precision weak lensing measurements. The redshift dependence of…

宇宙学与河外天体物理 · 物理学 2015-06-04 M. A. Troxel , Mustapha Ishak

We estimate the amplitude of the source-lens clustering bias and of the intrinsic-alignment bias of weak lensing estimators of the two-point and three-point convergence and cosmic-shear correlation functions. We use a linear galaxy bias…

宇宙学与河外天体物理 · 物理学 2014-01-17 Patrick Valageas

We report a measurement of the large-scale 3-point correlation function of galaxies using the largest dataset for this purpose to date, 777, 202 Luminous Red Galaxies in the Sloan Digital Sky Survey Baryon Acoustic Oscillation Spectroscopic…

A tetrahedron is the simplest shape that cannot be rotated into its mirror image in 3D. The 4-Point Correlation Function (4PCF), which quantifies excess clustering of quartets of galaxies over random, is the lowest-order statistic sensitive…

宇宙学与河外天体物理 · 物理学 2025-05-27 Jiamin Hou , Zachary Slepian , Robert N. Cahn

In conformal field theory (CFT), the four-point correlator is a fundamental object that encodes CFT properties, constrains CFT structures, and connects to the gravitational scattering amplitude in holography theory. However, the four-point…

统计力学 · 物理学 2023-06-09 Chao Han , Liangdong Hu , W. Zhu , Yin-Chen He

Images taken by space telescopes typically have a superb spatial resolution, but a relatively poor sampling rate due to the finite CCD pixel size. Beyond the Nyquist limit, it becomes uncertain how much the pixelation effect may affect the…

宇宙学与河外天体物理 · 物理学 2022-06-06 Zhi Shen , Jun Zhang , Hekun Li , Haoran Wang , Chengliang Wei , Guoliang Li , Xiaobo Li , Zhang Ban , Dan Yue

Phase correlations are an efficient way to extract astrophysical information that is largely independent from the power spectrum. We develop an estimator for the line correlation function (LCF) of projected fields, given by the correlation…

宇宙学与河外天体物理 · 物理学 2022-06-23 Felipe Oliveira Franco , Boryana Hadzhiyska , David Alonso

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…

天体物理学 · 物理学 2009-11-13 Elisabetta Semboloni , Catherine Heymans , Ludovic van Waerbeke , Peter Schneider

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

高能物理 - 理论 · 物理学 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

We present a Gaussianity test of the cosmic microwave background (CMB) polarization by analyzing the statistics of unpolarized points in the sky, classified into three distinct types: saddles, comets, and beaks. This classification of…

宇宙学与河外天体物理 · 物理学 2025-12-01 K. O. Parfenov , D. I. Novikov , A. O. Mihalchenko

With the developments of large galaxy surveys or cosmic shear surveys it is now possible to map the dark matter distribution at truly cosmological scales. Detailed examinations of the statistical properties of the dark matter distribution…

天体物理学 · 物理学 2007-05-23 Francis Bernardeau