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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

Analyses of the galaxy N-Point Correlation Functions (NPCFs) have a large number of degrees of freedom, meaning one cannot directly estimate an invertible covariance matrix purely from mock catalogs, as has been the standard approach for…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Jessica Chellino , Alessandro Greco , Simon May , Zachary Slepian

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 present new measurements of the redshift-space three-point correlation function (3PCF) of Luminous Red Galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS). Using the largest dataset to date, the Data Release 7 (DR7) LRGs, and an…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Felipe Marin

We have investigated the statistical clustering properties of galaxies by calculating the 2-point galaxy correlation function from the Durham/UKST Galaxy Redshift Survey. This survey is magnitude limited to bj = 17, contains 2500 galaxies…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , Q. A. Parker , R. Fong , .

Observations of redshift-space distortions in spectroscopic galaxy surveys offer an attractive method for observing the build-up of cosmological structure. In this paper we develop and test a new statistic based on anisotropies in the…

Astrophysics · Physics 2009-11-13 Will J Percival , Martin White

Angular cosmological correlators are infamously difficult to compute due to the highly oscillatory nature of the projection integrals. Motivated by recent development on analytic approaches to cosmological perturbation theory, in this paper…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Hayden Lee , Cora Dvorkin

We study the behavior of the three-point correlation function xi_3 of dark matter and mock galaxies, concentrating on the effects of redshift-space distortions and the determination of galaxy bias parameters in current redshift galaxy…

Astrophysics · Physics 2011-05-12 E. Gaztanaga , R. Scoccimarro

We explore the enhanced self-calibration of photometric galaxy redshift distributions, $n(z)$, through the combination of up to six two-point functions. Our $\rm 3\times2pt$ configuration is comprised of photometric shear, spectroscopic…

Higher-order lensing statistics contain a wealth of cosmological information that is not captured by second-order statistics. Stage-III lensing surveys have sufficient statistical power to significantly detect cumulant-based statistics up…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Lucas Porth , Elena Silvestre-Rosello , Peter Schneider , Martina Larma

As well as the galaxy number density and peculiar velocity, the galaxy intrinsic alignment can be used to test the cosmic isotropy. We study distinctive impacts of the isotropy breaking on the configuration-space two-point correlation…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-11 Maresuke Shiraishi , Teppei Okumura , Kazuyuki Akitsu

We present GEO-FPT (Geometric Fitted Perturbation Theory), a new model for the galaxy bispectrum anisotropic signal in redshift space, with functional form rooted in perturbation theory. It also models the dependence of the bispectrum with…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-20 Sergi Novell-Masot , Davide Gualdi , Héctor Gil-Marín , Licia Verde

We extend our previous redshift space power spectrum code to the redshift space correlation function. Here we focus on the Gaussian Streaming Model (GSM). Again, the code accommodates a wide range of modified gravity and dark energy models.…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-30 Benjamin Bose , Kazuya Koyama

In the standard (classic) approach, galaxy clustering measurements from spectroscopic surveys are compressed into baryon acoustic oscillations and redshift space distortions measurements, which in turn can be compared to cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-28 Samuel Brieden , Héctor Gil-Marín , Licia Verde

We present a new $\texttt{python}$ package SARABANDE for measuring 3 & 4 Point Correlation Functions (3/4 PCFs) in $\mathcal{O}(N_{\rm g} \log N_{\rm g})$ time using Fast Fourier Transforms (FFTs), with $N_{\rm g}$ the number of grid points…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 James Sunseri , Zachary Slepian , Stephen Portillo , Jiamin Hou , Sule Kahraman , Douglas P. Finkbeiner

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

In order to best improve constraints on cosmological parameters and on models of modified gravity using current and future galaxy surveys it is necessary maximally exploit the available data. As redshift-space distortions mean statistical…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Donough Regan

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

Conventional approaches to cosmology inference from galaxy redshift surveys are based on n-point functions, which are under rigorous perturbative control on sufficiently large scales. Here, we present an alternative approach, which employs…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-23 Fabian Schmidt , Franz Elsner , Jens Jasche , Nhat Minh Nguyen , Guilhem Lavaux
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