<i>Euclid</i> preparation

In this paper 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 positions of galaxies. We show how to compute the angular power spectra of such discrete data sets, without treating observations as maps of an underlying continuous field that is overlaid with a noise component. This formalism allows us to compute the exact theoretical expectations for our measured spectra, under a number of assumptions that we track explicitly. In particular, we obtain exact expressions for the additive biases (‘shot noise’) in angular galaxy clustering and cosmic shear. For efficient practical computations, we introduce a spin-weighted spherical convolution with a well-defined convolution theorem, which allows us to apply exact theoretical predictions to finite-resolution maps, including HEALPix . When validating our methodology, we find that our measurements are biased by less than 1% of their statistical uncertainty in simulations of Euclid ’s first data release.

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Publication Details

Journal
Astronomy and Astrophysics
Published
2025-02-01
DOI
https://doi.org/10.1051/0004-6361/202452018
Citations
3
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
5.61

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article

Euclid preparation

A Hall, G. Seidel, J. Brinchmann, J. Hjorth et al.
3 citations
Astronomy and Astrophysics
Particle physics theoretical and experimental studies
5.61
article

Euclid preparation

A Hall, G. Seidel, J. Brinchmann, J. Hjorth, Will J. Percival, M. Ballardini, M. Calabrese, G. Mainetti, R. P. Saglia, P. Tallada-Crespí, S Matthew, G. Riccio, L. Conversi, F. Gianotti, C. Sirignano, M. Brescia, E. Merlin, M. Kunz, I. Ferrero, A. Boucaud, C. Baccigalupi, M. Bolzonella, J. Carretero, M. Schirmer, J. Steinwagner, F. Marulli, J. García-Bellido, S. Borgani, A.G Ferrari, N. Mauri, S Ferriol, C. Giocoli, O. Marggraf, J. F. Macías–Pérez, F. Courbin, Y. Copin, A. Kiessling, A. Troja, Michael D. Brown, Santiago Casas, F. Grupp, A. Grazian, M. Jhabvala, F. Torradeflot, A. Díaz‐Sánchez, G. Sirri, G. Gozaliasl, E. Sellentin, Pierluigi Monaco, S. Mei, S. Bardelli, G. Desprez, P. Reimberg, F Faustini, E. Munari, M. Martinelli, A. Finoguenov, M. Magliocchetti, G Verza, M. Melchior, S. Nadathur, V. Capobianco, L. Moscardini, S.-M Niemi, T. Schrabback, L. Gabarra, M Miluzio, S. Farrens, C. J. A. P. Martins, J Le Graet, E. Zucca, S. Andreon, S. Pires, S. V. H. Haugan, D. Vergani, R. Massey, T. Vassallo, Benjamin Joachimi, S. Paltani, R. Toledo-Moreo, B. Camacho Quevedo, S Bruton, M. Moresco, D. Sapone, Shahab Joudaki, C. S. Carvalho, T. Castro, M. Meneghetti, D. Bonino, F. Lacasa, J. J. E. Kajava, M. Lattanzi, G. Congedo, L. Valenziano, T.I Liaudat, K. Ganga, H. Dole, A. Caillat, N Tessore, H. Hildebrandt, J.D. McEwen, E. Romelli, C. Burigana, Christopher J. Conselice, Henk Hoekstra, A. Biviano, I. Tutusaus, H. Degaudenzi, O. Mansutti, G. Zamorani, Matteo Viel, B. Morin, Julien Lesgourgues, N. Martinet, I Risso, J. Väliviita, W. Gillard, D. Karagiannis, S. Escoffier, C. Padilla Aranda, L Blot, E. Maiorano, B. Gillis, M Sahlén, M. Roncarelli, F. Dubath, R. B. Metcalf, F. Fornari, A. Hornstrup, E. Medinaceli, Sandor Kruk, C. Tao, A. Amara, M. Pöntinen, S. Di Domizio, K. Jahnkę, A. Secroun, M. Farina, Antonello Calabrò, F. Mannucci, F. Pasian, L. Guzzo, C.A.J Duncan, V. Kansal, S Anselmi, J. Weller, N Jeffrey, S. Ligori, M. Castellano, F. Giacomini, S. Galeotta, F. Raison, A. Balaguera-Antolínez, E. Franceschi, Marco Baldi, L. Patrizii, ENRIQUE GAZTAÑAGA, J Martín-Fleitas, P. Gómez-Álvarez, Ariel G. Sánchez, S. Dusini, N. A. Walton, G Cañas-Herrera, J. Gracia-Carpio, Alain Blanchard, R. Cabanac, S. Camera, Z. Sakr, J. J. Mohr, K Tanidis, L. Legrand, E. Bozzo, Romain Teyssier, Asantha Cooray, K. C. Chambers, M. Archidiacono, F. Finelli⋆, T Gasparetto, J. Dinis, V. Lindholm, Jason Rhodes, A. N. Taylor, P.-F Rocci, M. Sereno, M. Cropper, E. Keihänen, B. Sartoris, G. Castignani, P Vielzeuf, R. Nakajima, S. Cavuoti, Krishna Naidoo, N. Auricchio, M. Frailis, V Scottez, M. Fumana, A. Spurio Mancini, Petra Schneider, P. Šimon, W.G Hartley, C. Carbone, S. Kermiche, R. P. Rollins, Arthur Loureiro, F Caro, E Sarpa, Sune Toft, P. B. Lilje, Chiara Moretti, Y. Mellier, A. Fontana, S. Serrano, G. Polenta, E. Rossetti, A Pezzotta, Clare Murray, A.M.C Le Brun, Aurel Schneider, D. Potter, E. Branchini, M. Kümmel, Y. Akrami, G. De Lucia, F. Atrio‐Barandela, H. M. Courtois, Yun Wang, S. Tosi, A. Da Silva, Pedro G. Ferreira, L. Stančo, L. Maurin, C. M. Gutiérrez, A. Jiménez Muñoz, D. Benielli, M. D. Seiffert, A. Cappi, C. C. Kirkpatrick, X. Dupac, M. Tenti, L. Popa, D. Di Ferdinando, I. Tereno, V. Pettorino, A. Cimatti, V. Popa, G. Meylan, H. Kurki‐Suonio, M. Tucci, P. Hudelot, M. Wiesmann, W. A. Holmes, F. Hormuth, M. Poncet, J.A. Escartin Vigo, B. Kubik, V. F. Cardone, G. Testera, C Valieri, S. de la Torre, H. Böhringer, I. Lloro, Francis Bernardeau, G Morgante, A. Renzi, A Montoro
article en
3 citations

Abstract

In this paper 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 positions of galaxies. We show how to compute the angular power spectra of such discrete data sets, without treating observations as maps of an underlying continuous field that is overlaid with a noise component. This formalism allows us to compute the exact theoretical expectations for our measured spectra, under a number of assumptions that we track explicitly. In particular, we obtain exact expressions for the additive biases (‘shot noise’) in angular galaxy clustering and cosmic shear. For efficient practical computations, we introduce a spin-weighted spherical convolution with a well-defined convolution theorem, which allows us to apply exact theoretical predictions to finite-resolution maps, including HEALPix . When validating our methodology, we find that our measurements are biased by less than 1% of their statistical uncertainty in simulations of Euclid ’s first data release.

Astronomy and AstrophysicsVol. 694
Université Claude Bernard Lyon 1 (FR), Institut polytechnique de Grenoble (FR), University of Geneva (CH), Institució Catalana de Recerca i Estudis Avançats (ES), Leiden University (NL), California Institute of Technology (US), Uppsala University (SE), University of Copenhagen (DK), Centre National de la Recherche Scientifique (FR), University of Minnesota (US), Goddard Space Flight Center (US), Université Libre de Bruxelles (BE), Institute of Space Sciences (ES), University of Hawaii System (US), Jet Propulsion Laboratory (US), University of Helsinki (FI), Université Toulouse III - Paul Sabatier (FR), Consejo Superior de Investigaciones Científicas (ES), University of Bonn (DE), Scuola Internazionale Superiore di Studi Avanzati (IT), University of Padua (IT), University of Lisbon (PT), University of Trieste (IT), University of Waterloo (CA), University of Turku (FI), Universidad de La Laguna (ES), Stockholm University (SE), Queen Mary University of London (GB), Université Fédérale de Toulouse Midi-Pyrénées (FR), Universidade do Porto (PT), Perimeter Institute (CA), Royal Holloway University of London (GB), University of Oslo (NO), Universidad de Salamanca (ES), Institute for High Energy Physics (ES), University of Milan (IT), Durham University (GB), Universität Innsbruck (AT), University of Saint Joseph (US), Princeton University (US), University of Ferrara (IT), Université Côte d'Azur (FR), University of Zurich (CH), University of California, Irvine (US), Université Paris Cité (FR), Aix-Marseille Université (FR), Heidelberg University (DE), University of Cambridge (GB), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR), Université Paris Sciences et Lettres (FR), Université Paris-Saclay (FR), Centre National d'Études Spatiales (FR), Arcetri Astrophysical Observatory (IT), Helsinki Institute of Physics (FI), Astronomical Observatory of Rome (IT), Agenzia Spaziale Italiana (IT), Trieste Astronomical Observatory (IT), Institut d'Astrophysique de Paris (FR), Astronomical Observatory of Capodimonte (IT), Laboratoire AstroParticule et Cosmologie (FR), Brera Astronomical Observatory (IT), University of Surrey (GB), University of Manchester (GB), FHNW University of Applied Sciences and Arts Northwestern Switzerland (CH), Institute for High Performance Computing and Networking (IT), Universidad Politécnica de Cartagena (ES), Sorbonne Université (FR), University of Oxford (GB), Técnicas Reunidas (Spain) (ES), Astrophysique, Instrumentation et Modélisation (FR), Max Planck Institute for Physics (DE), Laboratoire Univers et Théories (FR), Institute of Astrophysics and Space Sciences (PT), ARC Centre of Excellence for Dark Matter Particle Physics (AU), Max Planck Institute for Extraterrestrial Physics (DE), Institut d'Estudis Espacials de Catalunya (ES), European Space Astronomy Centre (ES), Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT), Institute for Space Astrophysics and Planetology (IT), Institut d'Astrophysique Spatiale (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Padova (IT), Osservatorio Astrofisico di Torino (IT), Royal Observatory (GB), Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT), Centro de Astrofísica da Universidade do Porto (PT), Max Planck Institute for Astronomy (DE), Istituto di Radioastronomia di Bologna (IT), Université Bourgogne Franche-Comté (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Genova (IT), Observatoire de la Côte d’Azur (FR), CEA Paris-Saclay (FR), Instituto de Astrofísica de Canarias (ES), Institut National de Physique Nucléaire et de Physique des Particules (FR), Istituto Nazionale di Fisica Nucleare, Sezione di Milano (IT), Institute of Space Science - INFLPR Subsidiary (RO), Centre de Calcul de l’Institut National de Physique Nucléaire et de Physique des Particules (FR), Osservatorio Astronomico della Regione Autonoma Valle d'Aosta (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Bologna (IT), Port d'Informació Científica (ES), Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT), Institute for Fundamental Physics of the Universe (IT), Flatiron Health (United States) (US), Istituto Nazionale di Fisica Nucleare, Sezione di Roma I (IT), Osservatorio Astronomico di Padova (IT), Institut de Physique Théorique (FR), European Space Research Institute (IT), Institut de Recherche sur les Lois Fondamentales de l'Univers (FR), Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (ES), Institut de Recherche en Astrophysique et Planétologie (FR), Infrared Processing and Analysis Center (US), Osservatorio di Astrofisica e Scienza dello Spazio, Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Flatiron Institute (US), European Space Research and Technology Centre (NL), University College London (GB), Imperial College London (GB), École Polytechnique Fédérale de Lausanne (CH), University of Turin (IT), Swinburne University of Technology (AU), New York University (US), Case Western Reserve University (US), University of Portsmouth (GB), Universidad Autónoma de Madrid (ES), Saint Mary's University (CA), University of Chile (CL), Heidelberg Institute for Theoretical Studies (DE), Universitat de Barcelona (ES), The University of Tokyo (JP), Ludwig-Maximilians-Universität München (DE), University of Genoa (IT), Sapienza University of Rome (IT), University of the Western Cape (ZA), National Institute for Astrophysics (IT), RWTH Aachen University (DE), Université Grenoble Alpes (FR), Ruhr University Bochum (DE), Netherlands Institute for Radio Astronomy (NL), University of Bologna (IT), Universitat Politècnica de Catalunya (ES), Technical University of Denmark (DK), American University of Beirut (LB), University of Edinburgh (GB), Aalto University (FI)
National Aeronautics and Space Administration, UK Space Agency, Ministerio de Ciencia, Innovación y Universidades, European Space Agency, Generalitat de Catalunya, Magyar Tudományos Akadémia, Agenzia Spaziale Italiana, National Astronomical Observatory of Japan, Agenția Spațială Română, Norsk Romsenter, Institut de Física d'Altes Energies, Fundação para a Ciência e a Tecnologia, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Agencia Estatal de Investigación
Openalex Percentile: Top 6%
Particle physics theoretical and experimental studies
5.61
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