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Higher-order correlation functions of the large-scale galaxy distribution offer access to information beyond that contained in standard 2-point statistics such as the power spectrum. In this work we assess this potential for the…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-13 Euclid Collaboration , K. Pardede , A. Eggemeier , D. Alkhanishvili , E. Sefusatti , A. Moradinezhad Dizgah , L. Christoph , A. Chudaykin , M. Kärcher , D. Linde , M. Marinucci , C. Porciani , A. Veropalumbo , M. Crocce , M. S. Cagliari , B. Camacho Quevedo , L. Castiblanco , E. Castorina , G. D'Amico , V. Desjacques , A. Farina , G. Gambardella , M. Guidi , F. Janssen , J. Lesgourgues , C. Moretti , A. Pezzotta , A. Pugno , J. Salvalaggio , B. Altieri , S. Andreon , N. Auricchio , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Escoffier , M. Farina , R. Farinelli , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , N. Fourmanoit , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , S. Kermiche , A. Kiessling , B. Kubik , 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. J. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , C. Neissner , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , S. Serrano , E. Sihvola , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , A. Boucaud , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , T. Castro , J. A. Escartin Vigo , L. Gabarra , J. García-Bellido , V. Gautard , S. Hemmati , J. Macias-Perez , R. Maoli , J. Martín-Fleitas , N. Mauri , R. B. Metcalf , P. Monaco , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Tucci , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , G. Angora , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , L. Bazzanini , J. Bel , D. Bertacca , M. Bethermin , F. Beutler , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , F. Caro , C. S. Carvalho , F. Cogato , S. Conseil , A. R. Cooray , S. Davini , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , J. M. Diego , V. Duret , M. Y. Elkhashab , A. Enia , Y. Fang , A. Finoguenov , A. Fontana , F. Fontanot , A. Franco , K. Ganga , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gruppuso , C. M. Gutierrez , A. Hall , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , T. I. Liaudat , S. J. Liu , M. Magliocchetti , C. J. A. P. Martins , L. Maurin , M. Miluzio , G. Morgante , S. Nadathur , K. Naidoo , P. Natoli , A. Navarro-Alsina , S. Nesseris , L. Pagano , D. Paoletti , F. Passalacqua , K. Paterson , L. Patrizii , R. Paviot , A. Pisani , D. Potter , G. W. Pratt , S. Quai , M. Radovich , K. Rojas , W. Roster , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , C. Tao , F. Tarsitano , G. Testera , R. Teyssier , S. Tosi , A. Troja , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , S. Vinciguerra , N. A. Walton , A. H. Wright

The galaxy power spectrum is now a well-known tool of precision cosmology. In addition to the overall shape, baryon oscillations and the small-scale suppression of power by massive neutrinos capture complimentary information on cosmological…

Astrophysics · Physics 2009-11-10 Asantha Cooray

We develop a general method to "self-calibrate" observations of galaxy clustering with respect to systematics associated with photometric calibration errors. We first point out the danger posed by the multiplicative effect of calibration…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-24 Daniel L. Shafer , Dragan Huterer

Likelihood fitting to two-point clustering statistics made from galaxy surveys usually assumes a multivariate normal distribution for the measurements, with justification based on the central limit theorem given the large number of…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-23 Mike Shengbo Wang , Will J. Percival , Santiago Avila , Robert Crittenden , Davide Bianchi

Weak lensing of CMB anisotropies and polarization for the power spectra and higher order statistics can be handled directly in harmonic-space without recourse to real-space correlation functions. For the power spectra, this approach not…

Astrophysics · Physics 2009-10-31 Wayne Hu

Intrinsic galaxy alignments yield an important contribution to the observed statistics of galaxy shapes. The general bias expansion for galaxy sizes and shapes in three dimensions has been recently described by Vlah, Chisari \& Schmidt…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-02 Zvonimir Vlah , Nora Elisa Chisari , Fabian Schmidt

Extracting the three dimensional power spectrum from the 2D distribution of galaxies has become a standard tool of cosmology. This extraction requires some assumptions about the scaling of the power spectrum with redshift; all treatments to…

Astrophysics · Physics 2007-05-23 R. Scranton , S. Dodelson

We explore the phenomenological consequences of general late-time modifications of gravity in the quasi-static approximation, in the case where cold dark matter is non-minimally coupled to the gravitational sector. Assuming spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-16 Jérôme Gleyzes , David Langlois , Michele Mancarella , Filippo Vernizzi

We derive an analytic expression for the two-point correlation function in redshift space which (i) is nonlinear; (ii) is valid on the full sky, i.e. the distant-observer limit is not assumed; (iii) can account for the effect of…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Lawrence Dam , Camille Bonvin

We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor

We derive and implement a full Bayesian large scale structure inference method aiming at precision recovery of the cosmological power spectrum from galaxy redshift surveys. Our approach improves over previous Bayesian methods by performing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Jens Jasche , Benjamin D. Wandelt

Properties of galaxies like their absolute magnitude and their stellar mass content are correlated. These correlations are tighter for close pairs of galaxies, which is called galactic conformity. In hierarchical structure formation…

Astrophysics of Galaxies · Physics 2018-07-25 Martin Kerscher

While galaxy cluster catalogs were compiled many decades ago, other structural elements of cosmic web are detected at definite level only in the newest works. For example, extragalactic filaments were described by velocity field and SDSS…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 A. V. Tugay

It has long been known that galaxy shapes align coherently with the large-scale density field. Characterizing this effect is essential to interpreting measurements of weak gravitational lensing, the deflection of light from distant galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-17 Sukhdeep Singh , Ali Shakir , Yesukhei Jagvaral , Rachel Mandelbaum

Source confusion has been a long-standing problem in the astronomical history. In the previous formulation, sources are assumed to be distributed homogeneously on the sky. This fundamental assumption is not realistic in many applications.…

Astrophysics · Physics 2009-11-10 Tsutomu T. Takeuchi , Takako T. Ishii

In galaxy survey analysis, the observed clustering statistics do not directly match theoretical predictions but rather have been processed by a window function that arises from the survey geometry including the sky footprint,…

This article looks at the combined constraints from a photometric and spectroscopic survey. These surveys will measure cosmology using weak lensing (WL), galaxy clustering, baryon acoustic oscillations (BAO) and redshift space distortions…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-22 Martin Eriksen , Enrique Gaztanaga

Lensing peaks have been proposed as a useful statistic, containing cosmological information from non-Gaussianities that is inaccessible from traditional two-point statistics such as the power spectrum or two-point correlation functions.…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-05 Jia Liu , Andrea Petri , Zoltan Haiman , Lam Hui , Jan M. Kratochvil , Morgan May

We use the 2dF Galaxy Group Catalogue constructed by Merch\'an & Zandivarez to study the large scale structure of the Universe traced by galaxy groups. We concentrate on the computation of the power spectrum and the two point correlation…

Astrophysics · Physics 2009-11-07 Ariel Zandivarez , Manuel E. Merchan , Nelson D. Padilla

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