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We demonstrate the effectiveness of a relatively straightforward analysis of the complex 3D Fourier transform of galaxy coordinates derived from redshift surveys. Numerical demonstrations of this approach are carried out on a volume-limited…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-07 Jeffrey D. Scargle , Michael Way , Paul Gazis

We show that intrinsic (not lensing-induced) correlations between galaxy shapes offer a new probe of primordial non-Gaussianity and inflationary physics which is complementary to galaxy number counts. Specifically, intrinsic alignment…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-25 Fabian Schmidt , Nora Elisa Chisari , Cora Dvorkin

Traditional galaxy-galaxy lensing is a well-established method of probing the statistical properties of the Universe's matter and galaxy distribution. However, this measure does not carry all the statistical information, provided the matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Jonathan Oel , Lucas Porth , Peter Schneider , Elena Silvestre-Rosello

Effective field theory (EFT) provides a systematic framework for parametrizing possible higher-energy corrections to general relativity through higher-curvature interactions. In this work, we investigate gravitational lensing in both weak-…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Takamasa Kanai

It is anticipated that the large sky areas covered by planned wide-field weak lensing surveys will reduce statistical errors to such an extent that systematic errors will instead become the dominant source of uncertainty. It is therefore…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-22 Marc Gentile , Frederic Courbin , Georges Meylan

The most effective use of data from current and upcoming large scale structure~(LSS) and CMB observations requires the ability to predict the clustering of LSS with very high precision. The Effective Field Theory of Large Scale Structure…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-26 Matteo Cataneo , Simon Foreman , Leonardo Senatore

The intrinsic alignment (IA) of galaxies acts as a systematic effect in weak lensing measurements and tends to introduce biases. It mimics the gravitational lensing signal which makes it difficult to distinguish it from the true…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-08 Abinash Das

This review presents a comprehensive overview of galaxy bias, that is, the statistical relation between the distribution of galaxies and matter. We focus on large scales where cosmic density fields are quasi-linear. On these scales, the…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-15 Vincent Desjacques , Donghui Jeong , Fabian Schmidt

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

The intrinsic alignment (IA) of galaxy shapes probes the underlying gravitational tidal field, thus offering cosmological information complementary to galaxy clustering. In this paper, we perform a Fisher forecast to assess the benefit of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-06 Junsup Shim , Teppei Okumura , Atsushi Taruya

We present the 3-{\it dimensional} intrinsic alignment power spectra between the projected 2d galaxy shape/spin and the 3d tidal field across $0.1<k/h{\rm Mpc}^{-1}<60$ using cosmological hydrodynamical simulation, Illustris-TNG300, at…

Astrophysics of Galaxies · Physics 2021-03-17 Jingjing Shi , Toshiki Kurita , Masahiro Takada , Ken Osato , Yosuke Kobayashi , Takahiro Nishimichi

We formulate the Lagrangian perturbation theory of galaxy intrinsic alignments and compute the resulting auto and cross power spectra of galaxy shapes, densities and matter to 1-loop order. Our model represents a consistent effective-theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-03 Shi-Fan Chen , Nickolas Kokron

Given a galaxy image, one cannot simply measure its flexion. An image's spin one and three shape properties, typically associated with F- and G-flexion, are actually complicated functions of the galaxy's intrinsic shape and the telescope's…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-26 Rebecca Sobel Levinson

We show with analytic models that the assumption of uncorrelated intrinsic ellipticities of target sources that is usually made in searches for weak gravitational lensing due to large-scale mass inhomogeneities (``field lensing'') is…

Astrophysics · Physics 2009-12-15 Paolo Catelan , Marc Kamionkowski , Roger D. Blandford

We compute the connected four point correlation function (the trispectrum in Fourier space) of cosmological density perturbations at one-loop order in Standard Perturbation Theory (SPT) and the Effective Field Theory of Large Scale…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-06 Daniele Bertolini , Katelin Schutz , Mikhail P. Solon , Kathryn M. Zurek

An effective practical model with two characteristic parameters is presented to describe both of the tidally induced shape and spin alignments of the galactic halos with the large-scale tidal fields. We test this model against the numerical…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Jounghun Lee

Galaxy intrinsic alignments (IA) are a critical uncertainty for current and future weak lensing measurements. We describe a perturbative expansion of IA, analogous to the treatment of galaxy biasing. From an astrophysical perspective, this…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-13 Jonathan Blazek , Niall MacCrann , M. A. Troxel , Xiao Fang

Current and future imaging surveys will measure cosmic shear with a statistical precision that demands a deeper understanding of potential systematic biases in galaxy shape measurements than has been achieved to date. We investigate the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 J. E. Meyers , P. R. Burchat

We perform theoretical and numerical studies of the full relativistic two-point galaxy correlation function, considering the linear-order scalar and tensor perturbation contributions and the wide-angle effects. Using the gauge-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Fulvio Scaccabarozzi , Jaiyul Yoo , Sang Gyu Biern

We investigate the accuracy of the perturbative galaxy bias expansion in view of the forthcoming analysis of the Euclid spectroscopic galaxy samples. We compare the performance of an Eulerian galaxy bias expansion, using state-of-art…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-06 Euclid Collaboration , A. Pezzotta , C. Moretti , M. Zennaro , A. Moradinezhad Dizgah , M. Crocce , E. Sefusatti , I. Ferrero , K. Pardede , A. Eggemeier , A. Barreira , R. E. Angulo , M. Marinucci , B. Camacho Quevedo , S. de la Torre , D. Alkhanishvili , M. Biagetti , M. -A. Breton , E. Castorina , G. D'Amico , V. Desjacques , M. Guidi , M. Kärcher , A. Oddo , M. Pellejero Ibanez , C. Porciani , A. Pugno , J. Salvalaggio , E. Sarpa , A. Veropalumbo , Z. Vlah , A. Amara , S. Andreon , N. Auricchio , M. Baldi , S. Bardelli , R. Bender , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , S. Cavuoti , A. Cimatti , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , A. M. Di Giorgio , J. Dinis , X. Dupac , S. Dusini , A. Ealet , M. Farina , S. Farrens , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Gillis , C. Giocoli , B. R. Granett , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , F. Hormuth , A. Hornstrup , K. Jahnke , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , T. Kitching , B. Kubik , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , Y. Mellier , M. Meneghetti , E. Merlin , 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 , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , C. Surace , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , E. Zucca , A. Biviano , E. Bozzo , C. Burigana , C. Colodro-Conde , D. Di Ferdinando , G. Mainetti , M. Martinelli , N. Mauri , Z. Sakr , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Anselmi , C. Baccigalupi , M. Ballardini , F. Bernardeau , A. Blanchard , S. Borgani , S. Bruton , R. Cabanac , A. Cappi , C. S. Carvalho , G. Castignani , T. Castro , G. Cañas-Herrera , K. C. Chambers , S. Contarini , A. R. Cooray , J. Coupon , S. Davini , G. De Lucia , G. Desprez , S. Di Domizio , H. Dole , A. Díaz-Sánchez , J. A. Escartin Vigo , S. Escoffier , P. G. Ferreira , F. Finelli , L. Gabarra , K. Ganga , J. García-Bellido , F. Giacomini , G. Gozaliasl , A. Hall , S. Ilić , S. Joudaki , J. J. E. Kajava , V. Kansal , C. C. Kirkpatrick , L. Legrand , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , C. J. A. P. Martins , S. Matthew , L. Maurin , R. B. Metcalf , M. Migliaccio , P. Monaco , G. Morgante , S. Nadathur , Nicholas A. Walton , L. Patrizii , V. Popa , D. Potter , A. Pourtsidou , M. Pöntinen , I. Risso , P. -F. Rocci , A. G. Sánchez , M. Sahlén , A. Schneider , M. Sereno , P. Simon , A. Spurio Mancini , J. Steinwagner , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf