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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

The linear point (LP), defined as the mid-point between the dip and the peak of the two-point clustering correlation function (TPCF), has been shown to be an excellent standard ruler for cosmology. In fact, it is nearly…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 G. Parimbelli , S. Anselmi , M. Viel , C. Carbone , F. Villaescusa-Navarro , P. S. Corasaniti , Y. Rasera , R. Sheth , G. D. Starkman , I. Zehavi

We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

We investigate the possibility of constraining coupled dark energy (cDE) cosmologies using the three-point correlation function (3PCF). Making use of the CoDECS N-body simulations, we study the statistical properties of cold dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Michele Moresco , Federico Marulli , Marco Baldi , Lauro Moscardini , Andrea Cimatti

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

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

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,…

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 perform detailed comparison of the semi-analytic halo model predictions with measurements in numerical simulations of the two and three point correlation functions (3PCF), as well as power spectrum and bispectrum. We discuss the accuracy…

Astrophysics · Physics 2009-11-11 Pablo Fosalba , Jun Pan , Istvan Szapudi , .

Exploiting the Persistent Homology technique and its complementary representations, we examine the footprint of summed neutrino mass ($M_{\nu}$) in the various density fields simulated by the publicly available Quijote suite. The evolution…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-02 M. H. Jalali Kanafi , S. Ansarifard , S. M. S. Movahed

We present an optimised multipole algorithm for computing the three-point correlation function (3PCF), tailored for application to large-scale cosmological datasets. The algorithm builds on a $in\, situ$ interpretation of correlation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Wenjie Ju , Longlong Feng , Zhiqi Huang , Xin Sun , Weishan Zhu

Cosmological neutrinos strongly affect the evolution of the largest structures in the Universe, i.e. galaxies and galaxy clusters. We use large box-size full hydrodynamic simulations to investigate the non-linear effects that massive…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-16 Federico Marulli , Carmelita Carbone , Matteo Viel , Lauro Moscardini , Andrea Cimatti

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…

The cosmic neutrino background and other light relics leave distinct imprints in the cosmic microwave background anisotropies through their gravitational influence. Since neutrinos decoupled from the primordial plasma about one second after…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-18 Gabriele Montefalcone , Benjamin Wallisch , Katherine Freese

Massive neutrinos suppress the growth of cosmic structure on small, non-linear, scales. It is thus often proposed that using statistics beyond the power spectrum can tighten constraints on the neutrino mass by extracting additional…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-16 Adrian E. Bayer , Arka Banerjee , Uros Seljak

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 non-zero mass of neutrinos suppresses the growth of cosmic structure on small scales. Since the level of suppression depends on the sum of the masses of the three active neutrino species, the evolution of large-scale structure is a…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Jia Liu , Simeon Bird , José Manuel Zorrilla Matilla , J. Colin Hill , Zoltán Haiman , Mathew S. Madhavacheril , Andrea Petri , David N. Spergel

Massive neutrinos are expected to influence the formation of the large-scale structure of the Universe, depending on the value of their total mass, $\Sigma m_\nu$. In particular Planck data indicate that a non-zero $\Sigma m_\nu$ may help…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Mauro Roncarelli , Carmelita Carbone , Lauro Moscardini

Massive neutrinos suppress the growth of structure under their free-streaming scales. The effect is most prominent on small scales where the widely-used two-point statistics can no longer capture the full information. In this work, we study…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-03 Wei Liu , Aoxiang Jiang , Wenjuan Fang

We explore the effects of massive neutrinos on the cosmic web using the FLAMINGO simulations. We classify the cosmic web into voids, sheets, filaments, and clusters, and find that massive neutrinos affect the environment by decreasing the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 Leonor N. L. Simões , Krishna Naidoo , Benjamin Joachimi , Willem Elbers , Carlos S. Frenk
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