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We measure the angular power spectrum and bispectrum of the projected overdensity of photometric DESI luminous red galaxies, and its cross-correlation with maps of the Cosmic Microwave Background lensing convergence from \planck. This…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Lea Harscouet , David Alonso , Andrina Nicola , Anže Slosar

The redshift-space correlation function $\xi_s$ for projected galaxy separations $\simless 1h^{-1}$ Mpc can be expressed as the convolution of the real-space correlation function with the galaxy pairwise velocity distribution function…

Astrophysics · Physics 2009-10-28 Antonaldo Diaferio , Margaret J. Geller

I review the status of large-scale structure studies based on redshift surveys of galaxies and clusters of galaxies. In particular, I compare recent results on the power spectrum and two-point correlation correlation function from the 2dF…

Astrophysics · Physics 2007-05-23 L. Guzzo

We present a new method to estimate redshift distributions and galaxy-dark matter bias parameters using correlation functions in a fully data driven and self-consistent manner. Unlike other machine learning, template, or correlation…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-09 Ben Hoyle , Markus Michael Rau

We show how to enhance the redshift accuracy of surveys consisting of tracers with highly uncertain positions along the line of sight. Photometric surveys with redshift uncertainty delta_z ~ 0.03 can yield final redshift uncertainties of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Jens Jasche , Benjamin D. Wandelt

We use the halo model of clustering to compute two- and three-point correlation functions for weak lensing, and apply them in a new statistical technique to measure properties of massive halos. We present analytical results on the eight…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Bhuvnesh Jain

The integrated shear 3-point correlation function $\zeta_{\pm}$ measures the correlation between the local shear 2-point function $\xi_{\pm}$ and the 1-point shear aperture mass in patches of the sky. Unlike other higher-order statistics,…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-17 Zhengyangguang Gong , Anik Halder , Alexandre Barreira , Stella Seitz , Oliver Friedrich

The squeezed limit of the three-point function of cosmological perturbations is a powerful discriminant of different models of the early Universe. We present a conceptually simple and complete framework to relate any primordial bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Enrico Pajer , Fabian Schmidt , Matias Zaldarriaga

We present an $8.1\sigma$ detection of the non-Gaussian 4-Point Correlation Function (4PCF) using a sample of $N_{\rm g} \approx 8\times 10^5$ galaxies from the BOSS CMASS dataset. Our measurement uses the $\mathcal{O}(N_{\rm g}^2)$ NPCF…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-05 Oliver H. E. Philcox , Jiamin Hou , Zachary Slepian

The 2-point correlation function of the galaxy spatial distribution is a major cosmological observable that enables constraints on the dynamics and geometry of the Universe. The Euclid mission aims at performing an extensive spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-13 Euclid Collaboration , S. de la Torre , F. Marulli , E. Keihänen , A. Viitanen , M. Viel , A. Veropalumbo , E. Branchini , D. Tavagnacco , F. Rizzo , J. Valiviita , V. Lindholm , V. Allevato , G. Parimbelli , E. Sarpa , Z. Ghaffari , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Basset , D. Bonino , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Crocce , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , F. Faustini , S. Ferriol , N. Fourmanoit , M. Frailis , E. Franceschi , P. Franzetti , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , B. R. Granett , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , 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. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , E. Sefusatti , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , C. Surace , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , I. Tutusaus , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , R. Farinelli , F. Finelli , L. Gabarra , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Mora , A. Pezzotta , M. Pöntinen , V. Scottez , P. Simon , A. Spurio Mancini , M. Tenti , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , H. Böhringer , S. Borgani , M. L. Brown , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , F. Cogato , S. Contarini , A. R. Cooray , O. Cucciati , S. Davini , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Fontana , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gregorio , M. Guidi , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , A. M. C. Le Brun , S. Lee , J. Le Graet , L. Legrand , M. Lembo , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , C. Murray , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , K. Paterson , L. Patrizii , A. Pisani , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , M. Sahlén , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , A. Silvestri , L. C. Smith , K. Tanidis , C. Tao , N. Tessore , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , G. Verza , P. Vielzeuf , N. A. Walton

The cosmological surveys that are planned for the current decade will provide us with unparalleled observations of the distribution of galaxies on cosmic scales, by means of which we can probe the underlying large-scale structure (LSS) of…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-23 Euclid Collaboration , K. Tanidis , V. F. Cardone , M. Martinelli , I. Tutusaus , S. Camera , N. Aghanim , A. Amara , S. Andreon , N. Auricchio , M. Baldi , S. Bardelli , E. Branchini , M. Brescia , J. Brinchmann , V. Capobianco , C. Carbone , J. Carretero , S. Casas , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , A. DaSilva , H. Degaudenzi , J. Dinis , F. Dubath , X. Dupac , S. Dusini , M. Farina , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Garilli , W. Gillard , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , I. Hook , A. Hornstrup , K. Jahnke , B. Joachimi , E. Keihanen , S. Kermiche , A. Kiessling , M. Kunz , H. Kurki-Suonio , P. B. Lilje , V. Lindholm , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Meneghetti , G. Meylan , M. Moresco , L. Moscardini , E. Munari , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , J. E. Pollack , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , E. Zucca , A. Biviano , A. Boucaud , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , R. Farinelli , J. Graciá-Carpio , S. Marcin , N. Mauri , V. Scottez , M. Tenti , A. Tramacere , Y. Akrami , V. Allevato , C. Baccigalupi , A. Balaguera-Antolínez , M. Ballardini , D. Benielli , F. Bernardeau , S. Borgani , A. S. Borlaff , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , G. Castignani , T. Castro , G. Cañas-Herrera , K. C. Chambers , A. R. Cooray , J. Coupon , A. Díaz-Sánchez , S. Davini , S. delaTorre , G. DeLucia , G. Desprez , S. DiDomizio , H. Dole , J. A. Escartin Vigo , S. Escoffier , P. G. Ferreira , I. Ferrero , F. Finelli , L. Gabarra , J. García-Bellido , E. Gaztanaga , F. Giacomini , G. Gozaliasl , H. Hildebrandt , S. Ilić , J. J. E. Kajava , V. Kansal , C. C. Kirkpatrick , L. Legrand , A. Loureiro , J. Macias-Perez , M. Magliocchetti , G. Mainetti , R. Maoli , C. J. A. P. Martins , S. Matthew , L. Maurin , R. B. Metcalf , M. Migliaccio , P. Monaco , G. Morgante , S. Nadathur , A. A. Nucita , M. Pöntinen , L. Patrizii , A. Pezzotta , V. Popa , D. Potter , A. G. Sánchez , Z. Sakr , J. A. Schewtschenko , A. Schneider , M. Sereno , P. Simon , A. Spurio Mancini , J. Steinwagner , M. Tewes , R. Teyssier , S. Toft , J. Valiviita , M. Viel , L. Linke

We investigate the evolution of the galaxy two point correlation function (CF) over a wide redshift range, 0.2 < z < 3. For the first time the systematic analysis covers the redshifts above 1 - 1.5. The catalogue of ~250000 galaxies with i+…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-09 A. M. Soltan , M. J. Chodorowski

Starting from first principles, we derive the fundamental equations that relate the $n$-point correlation functions in real and redshift space. Our result generalises the so-called `streaming model' to higher-order statistics: the full…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Joseph Kuruvilla , Cristiano Porciani

Weak gravitational lensing requires precise measurements of galaxy shapes and therefore an accurate knowledge of the PSF model. The latter can be a source of systematics that affect the shear two-point correlation function. A key stake of…

Weak gravitational lensing is becoming a mature technique for constraining cosmological parameters, and future surveys will be able to constrain the dark energy equation of state $w$. When analyzing galaxy surveys, redshift information has…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-07 Andrea Petri , Morgan May , Zoltán Haiman

Weak gravitational lensing of background galaxies offers an excellent opportunity to study the intervening distribution of matter. While much attention to date has focused on the two-point function of the cosmic shear, the three-point…

Astrophysics · Physics 2008-11-26 Scott Dodelson , Pengjie Zhang

We discuss the effects of redshift--space distortions on the estimate of high order galaxy correlation functions. We use both the Perseus--Pisces redshift survey and the results of high--resolution N--body simulations to explore the…

Astrophysics · Physics 2007-05-23 S. Ghigna , S. A. Bonometto , L. Guzzo , R. Giovanelli , M. P. Haynes , A. Klypin , J. R. Primack

Measurements of galaxy clustering are now becoming possible over a range of redshifts out to z=3. We use a semi-analytic model of galaxy formation to compute the expected evolution of the galaxy correlation function with redshift. We…

Astrophysics · Physics 2009-10-31 C. M. Baugh , A. J. Benson , S. Cole , C. S. Frenk , C. G. Lacey

Widefield surveys of the sky probe many clustered scalar fields -- such as galaxy counts, lensing potential, gas pressure, etc. -- that are sensitive to different cosmological and astrophysical processes. Our ability to constrain such…

The forthcoming generation of galaxy redshift surveys will sample the large-scale structure of the Universe over unprecedented volumes with high-density tracers. This advancement will make robust measurements of three-point clustering…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-29 Andrea Oddo , Emiliano Sefusatti , Cristiano Porciani , Pierluigi Monaco , Ariel G. Sánchez