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

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Future galaxy surveys will measure baryon acoustic oscillations (BAOs) with high significance, and a complete understanding of the anisotropies of BAOs in redshift space will be important to exploit the cosmological information in BAOs.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Donghui Jeong , Liang Dai , Marc Kamionkowski , Alexander S. Szalay

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

Analytical templates for the 4-Point Correlation Function (4PCF) covariance matrix have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the second part of the beyond GRF calculation of the 4PCF…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 William Ortolá Leonard , Zachary Slepian

Analytical templates for the covariance matrix of the 4-Point Correlation Function (4PCF) have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the first non-Gaussian calculation of the 4PCF…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 William Ortolá Leonard , Zachary Slepian

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo…

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

We calculate the normalized angular three-point correlation function (3PCF), $q$, as well as the normalized angular skewness, $s_3$, assuming the small-angle approximation, for a biased mass distribution in flat and open cold-dark-matter…

Astrophysics · Physics 2009-10-31 Ari Buchalter , Marc Kamionkowski , Andrew H. Jaffe

In a detailed analysis of the three point correlation function (3PCF) for the 2dF Galaxy Redshift Survey we have accurately measured the 3PCF for galaxies of different luminosity. The 3PCF amplitudes [$\Qsu$ or $\Qrpu$] of the galaxies…

Astrophysics · Physics 2009-11-10 Y. P. Jing , G. Boerner

We present the measurements of the redshift-space three-point correlation function (3PCF) for z~0.5 luminous red galaxies of the CMASS sample in the Sloan Digital Sky Survey-III Baryon Oscillation Spectroscopic Survey Data Release 11. The…

We present an algorithm that computes the multipole coefficients of the galaxy three-point correlation function (3PCF) without explicitly considering triplets of galaxies. Rather, centering on each galaxy in the survey, it expands the…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Zachary Slepian , Daniel J. Eisenstein

We constrain the linear and quadratic bias parameters from the configuration dependence of the three-point correlation function (3PCF) in both redshift and projected space, utilizing measurements of spectroscopic galaxies in the Sloan…

We analyze the 2-point correlation function (2PCF) of galaxy groups identified from the 2-degree Field Galaxy Redshift Survey with the halo based group finder recently developed by Yang et al (2004b). With this group catalogue we are able…

Astrophysics · Physics 2009-11-10 Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , Y. P. Jing

We present FuGa3D, a code for fast computation of correlation functions and power spectra for galaxy survey observables, including galaxy clustering and cosmic shear. We define the redshift-space correlation function (RCF) as the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Elina Keihänen , Jani Haapala , Valtteri Lindholm , Martin Reinecke , Susan Rissanen , Jussi Valiviita , Akke Viitanen

Starting with the density field equation of a self-gravity fluid in a static Universe, using the Schwinger functional differentiation technique, we derive the field equation of the 4-point correlation function (4PCF) of galaxies in the…

Astrophysics of Galaxies · Physics 2024-06-11 Yang Zhang , Shu-Guang Wu

We introduce a two-particle correlation function (2PCF) for the Milky Way, constructed to probe spatial correlations in the orthogonal directions of the stellar disk in the Galactic cylindrical coordinates of $R$, $\phi$, and $z$. We use…

Astrophysics of Galaxies · Physics 2023-01-16 Austin Hinkel , Susan Gardner , Brian Yanny

Recently the galaxy matter density 4-point correlation function has been looked at to investigate parity violation in large scale structure surveys. The 4-point correlation function is the lowest order statistic which is sensitive to parity…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Pritha Paul , Chris Clarkson , Roy Maartens

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…

We investigate the three-point correlation function (3PCF) in the squeezed limit by considering galaxy pairs as discrete objects and cross-correlating them with the galaxy field. We develop an efficient algorithm using Fast Fourier…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-08 Sihan Yuan , Daniel J. Eisenstein , Lehman H. Garrison

We present measurements of the redshift--space three-point correlation function of galaxies in the Sloan Digital Sky Survey (SDSS). For the first time, we analyze the dependence of this statistic on galaxy morphology, color and luminosity.…

We consider an alternative to conventional three-point statistics such as the bispectrum, which is purely based on the Fourier phases of the density field: the line correlation function. This statistic directly probes the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Alexander Eggemeier , Robert E. Smith

We investigate the impact of baryonic feedback on two-point and three-point correlation functions (2PCFs and 3PCFs hereafter, respectively) involving galaxy density fields (g) and weak lensing shear fields (G), from simulated photometric…