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We perform a blinded cosmology analysis with cosmic shear two-point correlation functions (2PCFs) measured from more than 25 million galaxies in the Hyper Suprime-Cam three-year shear catalog in four tomographic redshift bins ranging from…

We present a method of combining cluster abundances and large-scale two-point correlations, namely galaxy clustering, galaxy--cluster cross-correlations, cluster auto-correlations, and cluster lensing. This data vector yields comparable…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 C. To , E. Krause , E. Rozo , H. Wu , D. Gruen , J. DeRose , E. S. Rykoff , R. H. Wechsler , M. R. Becker , M. Costanzi , T. Eifler , M. E. S. Pereira , N. Kokron

We revisit the performance and biases of the two-dimensional approach to galaxy-galaxy lensing. This method exploits the information for the actual positions and ellipticities of source galaxies, rather than using only the ensemble…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-03 Andrej Dvornik , Sebastiaan L. Zoutendijk , Henk Hoekstra , Konrad Kuijken

We present a method to obtain a high-significance detection of relativistic effects on cosmological scales. Measurements of such effects would be instrumental for our understanding of the Universe, as they would provide a further…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Federico Montano , Stefano Camera

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

Studying the matter distribution in the universe through the Lyman-$\alpha$ forest allows us to constrain small-scale physics in the high-redshift regime. Spectroscopic quasar surveys are generating increasingly large datasets that require…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-23 Josue De-Santiago , Rafael Gutiérrez-Balboa , Gustavo Niz , Alma X. González-Morales

The two-point correlation function (2PCF) is a cornerstone of precision cosmology, yet its estimation from imaging surveys is vulnerable to contamination and incompleteness arising from imperfect target selection and pipeline-level…

Instrumentation and Methods for Astrophysics · Physics 2026-03-13 Arya Farahi

In Papers I-III [arXiv:2210.10435, arXiv:2210.11085, arXiv:2304.13304], we use the flat-sky and distant-observer approximations to develop a formalism with which the correlation statistics of cosmological tensor fields are calculated by the…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-23 Takahiko Matsubara

The fully general calculation of the cosmic error on N-point correlation functions and related quantities is presented. More precisely, the variance caused by the finite volume, discreteness, and edge effects is determined for {\em any}…

Astrophysics · Physics 2016-11-23 I. Szapudi

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

The \textit{Euclid} satellite will deliver a catalogue of optically-selected galaxy clusters spanning from around $2000$ deg$^2$ in Data Release (DR) 1 to around $14\,000$ deg$^2$ in DR3. We assess the validity of cluster clustering (CC)…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Euclid Collaboration , E. Tsaprazi , A. Fumagalli , F. Marulli , A. Heavens , G. F. Lesci , M. Romanello , M. Bolzonella , Z. Sakr , B. Altieri , S. Andreon , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , E. Branchini , M. Brescia , S. Camera , 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 , H. Degaudenzi , S. de la Torre , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , 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. Kümmel , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , O. Mansutti , O. Marggraf , M. Martinelli , N. Martinet , R. J. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , M. Moresco , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , E. Sihvola , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , P. Tallada-Crespí , A. N. Taylor , 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 , M. Ballardini , C. Benoist , A. Boucaud , E. Bozzo , C. Burigana , M. Calabrese , T. Castro , J. A. Escartin Vigo , L. Gabarra , J. García-Bellido , J. Macias-Perez , R. Maoli , J. Martín-Fleitas , N. Mauri , R. B. Metcalf , P. Monaco , A. A. Nucita , A. Pezzotta , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Tucci , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , G. Angora , 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 , B. Camacho Quevedo , F. Caro , C. S. Carvalho , F. Cogato , S. Contarini , A. R. Cooray , M. Costanzi , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , J. M. Diego , V. Duret , M. Y. Elkhashab , A. Enia , Y. Fang , A. Finoguenov , A. Franco , K. Ganga , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , E. J. Gonzalez , G. Gozaliasl , A. Gruppuso , M. Guidi , 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 , J. Le Graet , L. Legrand , M. Lembo , F. Lepori , G. Leroy , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , M. Magliocchetti , A. Manjón-García , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Miluzio , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , D. Paoletti , K. Paterson , L. Patrizii , C. Pattison , 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 , M. Schultheis , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , F. Tarsitano , G. Testera , R. Teyssier , S. Tosi , A. Troja , C. Valieri , A. Venhola , D. Vergani , G. Verza , S. Vinciguerra , N. A. Walton , A. H. Wright

Any multivariate distribution can be uniquely decomposed into marginal (1-point) distributions, and a function called the copula, which contains all of the information on correlations between the distributions. The copula provides an…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Robert J. Scherrer , Andreas A. Berlind , Qingqing Mao , Cameron K. McBride

We present a simple and efficient phenomenological model for the two-dimensional two-point galaxy correlation function that works well over a wide range of scales, from large scales down to scales as small as 25Mpc/h. Our model incorporates…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Chia-Hsun Chuang , Yun Wang

The standard cosmological model is inherently relativistic, and yet a wide range of cosmological observations can be predicted accurately from essentially Newtonian theory. This is not the case on `ultra-large' distance scales, around the…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-03 Louis Coates , Julian Adamek , Philip Bull , Caroline Guandalin , Chris Clarkson

We present analyses of the two-point correlation function derived from an all-sky redshift survey of 5313 galaxies extracted from the Infrared Astronomical Satellite (IRAS) database. The redshift space correlation function \xi(s) is well…

Astrophysics · Physics 2015-06-24 Karl B. Fisher , Marc Davis , Michael A. Strauss , Amos Yahil , John Huchra

Using conformal field theory, we perform a complete analysis of the chiral six-point correlation function C(z)=< \phi_{1,2}\phi_{1,2} \Phi_{1/2,0}(z, \bar z) \phi_{1,2}\phi_{1,2} >, with the four \phi_{1,2} operators at the corners of an…

Statistical Mechanics · Physics 2011-07-13 Jacob J. H. Simmons , Peter Kleban

It is usually assumed that in the linear regime the two-point correlation function of galaxies contains only a monopole, quadrupole and hexadecapole. Looking at cross-correlations between different populations of galaxies, this turns out…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Enrique Gaztanaga , Camille Bonvin , Lam Hui

The angular two-point correlation function between background QSOs and foreground galaxies induced by gravitational lensing is derived. It is shown that the shape of this correlation function depends sensitively on the spectrum of the…

Astrophysics · Physics 2007-05-23 Matthias Bartelmann

Above the equality scale the galaxy bispectrum will be a key probe for measuring primordial non-Gaussianity which can help differentiate between different inflationary models and other theories of the early universe. On these scales a…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-13 Eline M. de Weerd , Chris Clarkson , Sheean Jolicoeur , Roy Maartens , Obinna Umeh

It has been shown recently that relativistic distortions generate a dipolar modulation in the two-point correlation function of galaxies. To measure this relativistic dipole it is necessary to cross-correlate different populations of…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Camille Bonvin , Lam Hui , Enrique Gaztanaga
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