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The angular power spectrum is a natural tool to analyse the observed galaxy number count fluctuations. In a standard analysis, the angular galaxy distribution is sliced into concentric redshift bins and all correlations of its harmonic…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Guglielmo Faggioli , Konstantinos Tanidis , Stefano Camera

We study the angular power spectrum of gravitational-wave and galaxy catalogs in tomographic redshift and distance bins as a probe of late-time cosmology, focusing specifically on next-generation ground-based interferometers in combination…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-15 Alessandro Pedrotti , Michele Mancarella , Julien Bel , Davide Gerosa

The large-scale structure growth index $\gamma$ provides a consistency test of the standard cosmology and is a potential indicator of modified gravity. We investigate the constraints on $\gamma$ from next-generation spectroscopic surveys,…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-12 José Fonseca , Jan-Albert Viljoen , Roy Maartens

We present the framework for measuring angular power spectra in the Euclid mission. The observables in galaxy surveys, such as galaxy clustering and cosmic shear, are not continuous fields, but discrete sets of data, obtained only at the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-14 Euclid Collaboration , N. Tessore , B. Joachimi , A. Loureiro , A. Hall , G. Cañas-Herrera , I. Tutusaus , N. Jeffrey , K. Naidoo , J. D. McEwen , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , F. Bernardeau , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , 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. Cropper , A. Da Silva , H. Degaudenzi , G. De Lucia , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , F. Faustini , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , E. Maiorano , O. Mansutti , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , J. J. Mohr , M. Moresco , B. Morin , L. Moscardini , E. Munari , R. Nakajima , S. -M. Niemi , 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 , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , F. Finelli , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , V. Scottez , A. Spurio Mancini , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , M. Ballardini , D. Benielli , A. Blanchard , L. Blot , H. Böhringer , S. Borgani , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , A. R. Cooray , S. de la Torre , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , W. G. Hartley , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , F. Lacasa , M. Lattanzi , A. M. C. Le Brun , J. Le Graet , L. Legrand , J. Lesgourgues , T. I. Liaudat , 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 , A. Montoro , C. Moretti , G. Morgante , C. Murray , S. Nadathur , Nicholas A. Walton , L. Patrizii , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , R. P. Rollins , M. Sahlén , E. Sarpa , A. Schneider , M. Sereno , P. Simon , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf , M. L. Brown , E. Sellentin

We address key points for an efficient implementation of likelihood codes for modern weak lensing large-scale structure surveys. Specifically, we focus on the joint weak lensing convergence power spectrum-bispectrum probe and we tackle the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-02 Matteo Rizzato , Karim Benabed , Francis Bernardeau , Fabien Lacasa

Precision measurements of the galaxy power spectrum P(k) require a data analysis pipeline that is both fast enough to be computationally feasible and accurate enough to take full advantage of high-quality data. We present a rigorous…

Astrophysics · Physics 2009-10-07 Max Tegmark , Andrew Hamilton , Michael Strauss , Michael Vogeley , Alexander Szalay

Angular power spectra are central to the study of our Universe. In this paper, I develop a new method for the numeric evaluation and analytic estimation of the angular cross-power spectrum of two random fields using complex analysis and…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-27 Job Feldbrugge

Spectroscopic redshift surveys offer great prospects for constraining the dark sector in cosmology. Future surveys will however be both deep and wide and will thus require an analysis in 3-dimensional spherical geometry. We review and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Andrina Nicola , Alexandre Refregier , Adam Amara , Aseem Paranjape

Angular power spectra are an important measure of the angular clustering of a given distribution. In Cosmology, they are applied to such vastly different observations as galaxy surveys that cover a fraction of the sky and the Cosmic…

Astrophysics · Physics 2007-11-15 Brett Hayes , Robert Brunner , Volodymyr Kindratenko

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

Based on realistic simulations, we propose an hybrid method to reconstruct the lensing potential power spectrum, directly on PLANCK-like CMB frequency maps. It implies using a large galactic mask and dealing with a strong inhomogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 S. Plaszczynski , A. Lavabre , L. Perotto , J. -L. Starck

We propose an Analytical method of Blind Separation (ABS) of cosmic magnification from the intrinsic fluctuations of galaxy number density in the observed galaxy number density distribution. The ABS method utilizes the different dependences…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-27 Xinjuan Yang , Jun Zhang , Yu Yu , Pengjie Zhang

Upcoming spectroscopic galaxy surveys are extremely promising to help in addressing the major challenges of cosmology, in particular in understanding the nature of the dark universe. The strength of these surveys comes from their…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 F. Lanusse , A. Rassat , J. -L. Starck

The control of photometric redshift (photo-$z$) errors is a crucial and challenging task for precision weak lensing cosmology. The spacial cross-correlations (equivalently, the angular cross power spectra) of galaxies between tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-03 L. Sun , H. Zhan , C. Tao

Future precision cosmology from large-scale structure experiments including the Dark Energy Spectroscopic Instrument (DESI) and Euclid will probe wider and deeper cosmic volumes than those covered by previous surveys. The Cartesian power…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-12 Mike Shengbo Wang , Santiago Avila , Davide Bianchi , Robert Crittenden , Will J. Percival

By obtaining photometric redshift information, tomography allows us to cross-correlate galaxy ellipticities in different source redshift bins. The cross-correlation is non-vanishing because the different bins share much of the foreground…

Astrophysics · Physics 2009-11-10 Masahiro Takada , Martin White

We measure the power spectrum of galaxy clustering in real space from the APM Galaxy Survey. We present an improved technique for the numerical inversion of Limber's equation that relates the angular clustering of galaxies to an integral…

Astrophysics · Physics 2009-11-07 N. D. Padilla , C. M. Baugh

The angular power spectrum is a powerful statistic for analysing cosmological signals imprinted in the clustering of matter. However, current galaxy and quasar surveys cover limited portions of the sky, and are contaminated by systematics…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-29 Boris Leistedt , Hiranya V. Peiris , Daniel J. Mortlock , Aurélien Benoit-Lévy , Andrew Pontzen

Upcoming weak lensing surveys on wide fields will provide the opportunity to reconstruct the structure along the line of sight tomographically by employing photometric redshift information about the source distribution. We define…

Astrophysics · Physics 2009-10-31 Wayne Hu

We present the strategy used to identify and mitigate potential sources of angular systematics in the \textit{Euclid} spectroscopic galaxy survey, and we quantify their impact on galaxy clustering measurements and cosmological parameter…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-30 Euclid Collaboration , P. Monaco , M. Y. Elkhashab , B. R. Granett , J. Salvalaggio , E. Sefusatti , C. Scarlata , B. Zabelle , M. Bethermin , S. Bruton , C. Carbone , S. de la Torre , S. Dusini , A. Eggemeier , L. Guzzo , G. Lavaux , S. Lee , K. Markovic , K. S. McCarthy , M. Moresco , F. Passalacqua , W. J. Percival , I. Risso , A. G. Sánchez , D. Scott , C. Sirignano , Y. Wang , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , V. F. Cardone , 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 , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , C. A. J. Duncan , X. Dupac , S. Escoffier , M. Farina , R. Farinelli , S. Ferriol , N. Fourmanoit , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , W. Gillard , 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 , E. Keihänen , 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 , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , L. Moscardini , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , G. Seidel , S. Serrano , P. Simon , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , C. Surace , P. Tallada-Crespí , A. N. Taylor , H. I. Teplitz , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , A. Veropalumbo , D. Vibert , J. Weller , A. Zacchei , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , J. A. Escartin Vigo , G. Fabbian , L. Gabarra , W. G. Hartley , R. Maoli , J. Martín-Fleitas , S. Matthew , N. Mauri , R. B. Metcalf , A. Pezzotta , M. Pöntinen , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , S. Avila , D. Bertacca , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , A. R. Cooray , O. Cucciati , S. Davini , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , A. Enia , Y. Fang , A. G. Ferrari , A. Finoguenov , A. Fontana , A. Franco , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , M. Guidi , C. M. Gutierrez , A. Hall , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , V. Le Brun , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , L. Leuzzi , T. I. Liaudat , S. J. Liu , A. Loureiro , J. Macias-Perez , M. Magliocchetti , 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 , A. Pisani , D. Potter , S. Quai , M. Radovich , G. Rodighiero , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , A. Venhola , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , N. A. Walton
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