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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

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

We report a new test of modified gravity theories using the large-scale structure of the Universe. This paper is the first attempt to (1) apply a joint analysis of the anisotropic components of galaxy two- and three-point correlation…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-12 Naonori S. Sugiyama , Daisuke Yamauchi , Tsutomu Kobayashi , Tomohiro Fujita , Shun Arai , Shin'ichi Hirano , Shun Saito , Florian Beutler , Hee-Jong Seo

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We calculate quasilinear effects in the growth of structure in f(R) models of gravity using perturbation…

Astrophysics · Physics 2009-10-29 Alex Borisov , Bhuvnesh Jain

The field of cosmology is entering an epoch of unparalleled wealth of observational data thanks to galaxy surveys such as DESI, Euclid, and Roman. Therefore, it is essential to have a firm theoretical basis that allows the effective…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 William Ortolá Leonard , Zachary Slepian , Jiamin Hou

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

We analyze the consequences of models of structure formation for higher-order ($n$-point) galaxy correlation functions in the mildly non-linear regime. Several variations of the standard $\Omega=1$ cold dark matter model with…

Astrophysics · Physics 2016-08-30 Joshua A. Frieman , Enrique Gaztanaga

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

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

The theoretical basis of dark energy remains unknown and could signify a need to modify the laws of gravity on cosmological scales. In this study we investigate how the clustering and motions of galaxies can be used as probes of modified…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-10 Stuart Lyall , Chris Blake , Ryan Turner , Rossana Ruggeri , Hans Winther

We propose a new marked two-point correlation function weighted by the global gravitational potential as a probe for testing gravity models. Using the LCDM model based on general relativity (GR) as a reference, we investigate two…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Yizhao Yang , Yu Yu , Pengjie Zhang

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,…

Higher-order statistics are a useful and complementary tool for measuring the clustering of galaxies, containing information on the non-gaussian evolution and morphology of large-scale structure in the Universe. In this work we present…

We report results for the angular three-point galaxy correlation function in the APM survey and compare them with theoretical expectations. For the first time, these measurements extend to sufficiently large scales to probe the weakly…

Astrophysics · Physics 2009-10-31 J. A. Frieman , E. Gaztanaga

We investigate clustering properties of dark matter halos and galaxies to search for optimal statistics and scales where possible departures from general relativity (GR) could be found. We use large N-body cosmological simulations to…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-26 Jorge Enrique García-Farieta , Wojciech A. Hellwing , Suhani Gupta , Maciej Bilicki

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 study the corrections to the galaxy three-point correlation function (3PCF) induced by weak lensing magnification due to the matter distribution along the line of sight. We consistently derive all the correction terms arising up to…

Astrophysics · Physics 2008-11-26 Fabian Schmidt , Alberto Vallinotto , Emiliano Sefusatti , Scott Dodelson

We present new results for the 3-point correlation function, \zeta, measured as a function of scale, luminosity and colour from the final version of the two-degree field galaxy redshift survey (2dFGRS). The reduced three point correlation…

Astrophysics · Physics 2009-11-11 E. Gaztanaga , P. Norberg , C. M. Baugh , D. J. Croton

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 present a configuration-space model of the large-scale galaxy 3-point correlation function (3PCF) based on leading-order perturbation theory and including redshift space distortions (RSD). This model should be useful in extracting…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-21 Zachary Slepian , Daniel J. Eisenstein
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