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Small- and intermediate-scale galaxy clustering can be used to establish the galaxy-halo connection to study galaxy formation and evolution and to tighten constraints on cosmological parameters. With the increasing precision of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Zheng Zheng , Hong Guo

We introduce a physically-motivated model of the matter power spectrum, based on the halo model and perturbation theory. This model achieves 1\% accuracy on all $k-$scales between $k=0.02h\,\mathrm{Mpc}^{-1}$ to $k=1h\,\mathrm{Mpc}^{-1}$.…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Oliver H. E. Philcox , David N. Spergel , Francisco Villaescusa-Navarro

Third-order statistics provide information beyond two-point measures, but extracting this information requires accurate and consistent modelling. We measure and detect the three-point correlation function and third-order aperture-mass…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-27 Casper Vedder , Thomas Bakx , Nora Elisa Chisari , Henk Hoekstra , Matthieu Schaller

Using the Ly$\alpha$ mass assignment scheme (LyMAS), we make theoretical predictions for the 3-dimensional 3-point correlation function (3PCF) of the Ly$\alpha$ forest at redshift $z=2.3$. We bootstrap results from the (100 $h^{-1} \mbox{…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 Suk Sien Tie , David H. Weinberg , Paul Martini , Wei Zhu , Sebastien Peirani , Teresita Suarez , Stephane Colombi

This paper is the first in a set that analyses the covariance matrices of clustering statistics obtained from several approximate methods for gravitational structure formation. We focus here on the covariance matrices of anisotropic…

We report the measurement of the three-point correlation function (3PCF) of galaxies for the Las Campanas Redshift Survey (LCRS). We have not only measured the 3PCF in redshift space but also developed a method to measure the projected 3PCF…

Astrophysics · Physics 2009-10-30 Y. P. Jing , G. Boerner

We study the mean number counts and two-point correlation functions, along with their covariance matrices, of cosmological surveys such as for clusters. In particular, we consider correlation functions averaged over finite redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Patrick Valageas , Nicolas Clerc , Florian Pacaud , Marguerite Pierre

We investigate the possible accuracy that can be reached by analytical models for the matter density power spectrum and correlation function. Using a realistic description of the power spectrum that combines perturbation theory with a halo…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-17 Patrick Valageas

The galaxy-halo connection traces processes by which galaxies form and evolve. The halo occupation distribution (HOD) describes the relationship between galaxies and their host dark matter haloes. Measurements of the galaxy two-point…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-20 Jacob Kennedy , Eric Gawiser , Kartheik G. Iyer , L. Y. Aaron Yung

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

Elucidating the connection between the properties of galaxies and the properties of their hosting haloes is a key element in galaxy formation. When the spatial distribution of objects is also taken under consideration, it becomes very…

We investigate the accuracy and range of validity of the perturbative model for the 2-point (2PCF) and 3-point (3PCF) correlation functions in real space in view of the forthcoming analysis of the Euclid mission spectroscopic sample. We…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Euclid Collaboration , M. Guidi , A. Veropalumbo , A. Pugno , M. Moresco , E. Sefusatti , C. Porciani , E. Branchini , M. -A. Breton , B. Camacho Quevedo , M. Crocce , S. de la Torre , V. Desjacques , A. Eggemeier , A. Farina , M. Kärcher , D. Linde , M. Marinucci , A. Moradinezhad Dizgah , C. Moretti , K. Pardede , A. Pezzotta , E. Sarpa , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , D. Bagot , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , H. Dole , M. Douspis , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , B. Morin , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , J. A. Schewtschenko , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , G. Seidel , M. Seiffert , S. Serrano , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , M. Bolzonella , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , D. Di Ferdinando , J. A. Escartin Vigo , L. Gabarra , J. Martín-Fleitas , S. Matthew , M. Maturi , N. Mauri , R. B. Metcalf , A. A. Nucita , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , D. Bertacca , M. Bethermin , L. Blot , H. Böhringer , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , S. Contarini , A. R. Cooray , O. Cucciati , S. Davini , F. De Paolis , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , P. Dimauro , A. Enia , Y. Fang , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Franco , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , L. Leuzzi , T. I. Liaudat , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , C. J. A. P. Martins , L. Maurin , M. Miluzio , P. Monaco , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , L. Pagano , F. Passalacqua , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , P. Reimberg , P. -F. Rocci , G. Rodighiero , S. Sacquegna , M. Sahlén , D. B. Sanders , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , A. Venhola , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , N. A. Walton

We model the abundance of haloes in the $\sim(3 \ \text{Gpc}/h)^3$ volume of the MICE Grand Challenge simulation by fitting the universal mass function with an improved Jack-Knife error covariance estimator that matches theory predictions.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-24 Kai Hoffmann , Julien Bel , Enrique Gaztanaga

We present a test to quantify how well some approximate methods, designed to reproduce the mildly non-linear evolution of perturbations, are able to reproduce the clustering of DM halos once the grouping of particles into halos is defined…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-09 Emiliano Munari , Pierluigi Monaco , Jun Koda , Francisco-Shu Kitaura , Emiliano Sefusatti , Stefano Borgani

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…

Reliable extraction of cosmological information from clustering measurements of galaxy surveys requires estimation of the error covariance matrices of observables. The accuracy of covariance matrices is limited by our ability to generate…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-29 Mohammadjavad Vakili , Francisco-Shu Kitaura , Yu Feng , Gustavo Yepes , Cheng Zhao , Chia-Hsun Chuang , ChangHoon Hahn

Data analysis in cosmology requires reliable covariance matrices. Covariance matrices derived from numerical simulations often require a very large number of realizations to be accurate. When a theoretical model for the covariance matrix…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-21 Alessandra Fumagalli , Matteo Biagetti , Alexandro Saro , Emiliano Sefusatti , Anže Slosar , Pierluigi Monaco , Alfonso Veropalumbo

The connection between galaxies and dark matter halos encompasses a range of processes and play a pivotal role in our understanding of galaxy formation and evolution. Traditionally, this link has been established through physical or…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-28 Natália V. N. Rodrigues , Natalí S. M. de Santi , L. Raul Abramo , Antonio D. Montero-Dorta

The halo model provides a powerful framework for interpreting galaxy clustering by linking the spatial distribution of dark matter haloes to the underlying matter distribution. A key assumption within the halo bias approximation of the halo…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Emy Mons , Vipul Prasad Maranchery , M. S. Suryan Sivadas , Charles Jose

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