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Related papers: A Model for the Redshift-Space Galaxy 4-Point Corr…

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We present a detailed analysis of the two-point correlation function, from the 2dF Galaxy Redshift Survey (2dFGRS). We estimate the redshift-space correlation function, xi(s), from which we measure the redshift-space clustering length,…

The four-point correlation function is the lowest order correlation function for scalar fields that can be used to probe statistical parity invariance in an isotropic universe. There are intriguing claims of detection of parity violation in…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-21 Prakruth Adari , Anže Slosar

We have investigated the redshift space distortions in the optically selected Durham/UKST Galaxy Redshift Survey using the 2-point galaxy correlation function perpendicular and parallel to the observer's line of sight. We present results…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , R. Fong , Q. A. Parker

We compute the connected four point correlation function (the trispectrum in Fourier space) of cosmological density perturbations at one-loop order in Standard Perturbation Theory (SPT) and the Effective Field Theory of Large Scale…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-06 Daniele Bertolini , Katelin Schutz , Mikhail P. Solon , Kathryn M. Zurek

The non-Gaussian part of the covariance matrix of the galaxy power spectrum involves the connected four-point correlation in Fourier space, i.e. trispectrum. This paper introduces a fast method to compute the non-Gaussian part of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-07 Yosuke Kobayashi

In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

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

We show that correlations between the phases of the galaxy density field in redshift space provide additional information about the growth rate of large-scale structure that is complementary to the power spectrum multipoles. In particular,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Joyce Byun , Felipe Oliveira Franco , Cullan Howlett , Camille Bonvin , Danail Obreschkow

We have calculated the two-point correlation functions in redshift space, xi(sigma,pi), for galaxies of different spectral types in the 2dF Galaxy Redshift Survey. Using these correlation functions we are able to estimate values of the…

Redshift-space distortions are a sensitive probe of the growth of large-scale structure. In the linear regime, redshift-space distortions are fully described by the multipoles of the two-point correlation function. In the nonlinear regime,…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Felipe O. Franco , Camille Bonvin , Danail Obreschkow , Kamran Ali , Joyce Byun

We investigate the use of the cross-correlation between galaxies and galaxy groups to measure redshift-space distortions (RSD) and thus probe the growth rate of cosmological structure. This is compared to the classical approach based on…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-24 Faizan G. Mohammad , Sylvain de la Torre , Davide Bianchi , Luigi Guzzo , John A. Peacock

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

The 4-metre Multi-Object Spectroscopic Telescope Cosmology Redshift Survey (4MOST CRS) will obtain 5.4 million spectroscopic redshifts over ~5700 deg^2 to map large-scale structure and enable measurements of baryon acoustic oscillations,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-11 Behnood Bandi , Antoine Rocher , Aurélien Verdier , Jon Loveday , Zhuo Chen , Johan Richard , Jean-Paul Kneib , Tom Shanks , Michael J. I. Brown

Weak gravitational lensing requires precise measurements of galaxy shapes and therefore an accurate knowledge of the PSF model. The latter can be a source of systematics that affect the shear two-point correlation function. A key stake of…

We extend the cosmological bootstrap to correlators involving massless particles with spin. In de Sitter space, these correlators are constrained both by symmetries and by locality. In particular, the de Sitter isometries become conformal…

High Energy Physics - Theory · Physics 2021-09-29 Daniel Baumann , Carlos Duaso Pueyo , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

Using a novel two-dimensional coordinate system, we have derived a particularly simple way to express the redshift distortions in galaxy redshift surveys with arbitrary geometry in closed form. This method provides an almost ideal way to…

Astrophysics · Physics 2009-10-30 Alexander S. Szalay , Takahiko Matsubara , Stephen D. Landy

We present a new algorithm to rapidly compute the two-point (2PCF), three-point (3PCF) and n-point (n-PCF) correlation functions in roughly O(N log N) time for N particles, instead of O(N^n) as required by brute force approaches. The…

Astrophysics · Physics 2007-05-23 Lucy Liuxuan Zhang , Ue-Li Pen

We propose an efficient way to test rotational invariance in the cosmological perturbations by use of galaxy correlation functions. In symmetry-breaking cases, the galaxy power spectrum can have extra angular dependence in addition to the…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-10 Maresuke Shiraishi , Naonori S. Sugiyama , Teppei Okumura

The redshift-space correlation function $\xi_s$ for projected galaxy separations $\simless 1h^{-1}$ Mpc can be expressed as the convolution of the real-space correlation function with the galaxy pairwise velocity distribution function…

Astrophysics · Physics 2009-10-28 Antonaldo Diaferio , Margaret J. Geller