Euclid preparation LIX. Angular power spectra from discrete observations

Tessore, N.; Joachimi, B.; Loureiro, A.; Hall, A.; Canas-Herrera, G.; Tutusaus, I.; Jeffrey, N.; Naidoo, K.; McEwen, J. D.; Amara, A.; Andreon, S.; Auricchio, N.; Baccigalupi, C.; Baldi, M.; Bardelli, S.; Bernardeau, F.; Bonino, D.; Branchini, E.; Brescia, M.; Brinchmann, J.; Caillat, A.; Camera, S.; Capobianco, V.; Carbone, C.; Cardone, V. F.; Carretero, J.; Casas, S.; Castellano, M.; Castignani, G.; Cavuoti, S.; Cimatti, A.; Colodro-Conde, C.; Congedo, G.; Conselice, C. J.; Conversi, L.; Copin, Y.; Courbin, F.; Courtois, H. M.; Cropper, M.; Da Silva, A.; Degaudenzi, H.; De Lucia, G.; Dinis, J.; Dubath, F.; Duncan, C. A. J.; Dupac, X.; Dusini, S.; Farina, M.; Farrens, S.; Faustini, F.; Ferriol, S.; Frailis, M.; Franceschi, E.; Fumana, M.; Galeotta, S.; Gillard, W.; Gillis, B.; Giocoli, C.; Gomez-Alvarez, P.; Grazian, A.; Grupp, F.; Guzzo, L.; Haugan, S. V. H.; Hoekstra, H.; Holmes, W.; Hormuth, F.; Hornstrup, A.; Hudelot, P.; Jahnke, K.; Jhabvala, M.; Keihanen, E.; Kermiche, S.; Kiessling, A.; Kubik, B.; Kummel, M.; Kunz, M.; Kurki-Suonio, H.; Ligori, S.; Lilje, P. B.; Lindholm, V.; Lloro, I.; Mainetti, G.; Maiorano, E.; Mansutti, O.; Marggraf, O.; Martinelli, M.; Martinet, N.; Marulli, F.; Massey, R.; Medinaceli, E.; Mei, S.; Melchior, M.; Mellier, Y.; Meneghetti, M.; Merlin, E.; Meylan, G.; Mohr, J. J.; Moresco, M.; Morin, B.; Moscardini, L.; Munari, E.; Nakajima, R.; Niemi, S-M; Padilla, C.; Paltani, S.; Pasian, F.; Pedersen, K.; Percival, W. J.; Pettorino, V.; Pires, S.; Polenta, G.; Poncet, M.; Popa, L. A.; Raison, F.; Renzi, A.; Rhodes, J.; Riccio, G.; Romelli, E.; Roncarelli, M.; Rossetti, E.; Saglia, R.; Sakr, Z.; Sanchez, A. G.; Sapone, D.; Sartoris, B.; Schirmer, M.; Schneider, P.; Schrabback, T.; Secroun, A.; Seidel, G.; Seiffert, M.; Serrano, S.; Sirignano, C.; Sirri, G.; Stanco, L.; Steinwagner, J.; Tallada-Crespi, P.; Taylor, A. N.; Tereno, I.; Toledo-Moreo, R.; Torradeflot, F.; Valenziano, L.; Vassallo, T.; Wang, Y.; Weller, J.; Zamorani, G.; Zucca, E.; Biviano, A.; Bolzonella, M.; Boucaud, A.; Bozzo, E.; Burigana, C.; Calabrese, M.; Di Ferdinando, D.; Vigo, J. A. Escartin; Finelli, F.; Gracia-Carpio, J.; Matthew, S.; Mauri, N.; Pezzotta, A.; Pontinen, M.; Scottez, V.; Mancini, A. Spurio; Tenti, M.; Viel, M.; Wiesmann, M.; Akrami, Y.; Anselmi, S.; Archidiacono, M.; Atrio-Barandela, F.; Balaguera-Antolinez, A.; Ballardini, M.; Benielli, D.; Blanchard, A.; Blot, L.; Bohringer, H.; Borgani, S.; Bruton, S.; Cabanac, R.; Calabro, A.; Quevedo, B. Camacho; Cappi, A.; Caro, F.; Carvalho, C. S.; Castro, T.; Chambers, K. C.; Cooray, A. R.; de la Torre, S.; Desprez, G.; Diaz-Sanchez, A.; Di Domizio, S.; Dole, H.; Escoffier, S.; Ferrari, A. G.; Ferreira, P. G.; Ferrero, I.; Finoguenov, A.; Fontana, A.; Fornari, F.; Gabarra, L.; Ganga, K.; Garcia-Bellido, J.; Gasparetto, T.; Gaztanaga, E.; Giacomini, F.; Gianotti, F.; Gozaliasl, G.; Gutierrez, C. M.; Hartley, W. G.; Hildebrandt, H.; Hjorth, J.; Munoz, A. Jimenez; Joudaki, S.; Kajava, J. J. E.; Kansal, V.; Karagiannis, D.; Kirkpatrick, C. C.; Kruk, S.; Lacasa, F.; Lattanzi, M.; Le Brun, A. M. C.; Le Graet, J.; Legrand, L.; Lesgourgues, J.; Liaudat, T. I.; Macias-Perez, J.; Magliocchetti, M.; Mannucci, F.; Maoli, R.; Martin-Fleitas, J.; Martins, C. J. A. P.; Maurin, L.; Metcalf, R. B.; Miluzio, M.; Monaco, P.; Montoro, A.; Moretti, C.; Morgante, G.; Murray, C.; Nadathur, S.; Walton, N. A.; Patrizii, L.; Popa, V.; Potter, D.; Reimberg, P.; Risso, I.; Rocci, P-F; Rollins, R. P.; Sahlén, Martin; Sarpa, E.; Schneider, A.; Sereno, M.; Simon, P.; Tanidis, K.; Tao, C.; Testera, G.; Teyssier, R.; Toft, S.; Tosi, S.; Troja, A.; Tucci, M.; Valieri, C.; Valiviita, J.; Vergani, D.; Verza, G.; Vielzeuf, P.; Brown, M. L.; Sellentin, E.

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Euclid preparation LIX. Angular power spectra from discrete observations

Tessore, N.

UCL, Dept Phys & Astron, Gower St, London WC1E 6BT, England..

Joachimi, B.

UCL, Dept Phys & Astron, Gower St, London WC1E 6BT, England..

Loureiro, A.

Stockholm Univ, Dept Phys, Oskar Klein Ctr Cosmoparticle Phys, SE-10691 Stockholm, Sweden.;Imperial Coll London, Blackett Lab, Astrophys Grp, London SW7 2AZ, England..

Hall, A.

Univ Edinburgh, Inst Astron, Royal Observ, Blackford Hill, Edinburgh EH9 3HJ, Midlothian, Scotland..

Canas-Herrera, G.

Tutusaus, I.

Jeffrey, N.

Naidoo, K.

McEwen, J. D.

Amara, A.

Andreon, S.

Auricchio, N.

Baccigalupi, C.

Baldi, M.

Bardelli, S.

Bernardeau, F.

Bonino, D.

Branchini, E.

Brescia, M.

Brinchmann, J.

Caillat, A.

Camera, S.

Capobianco, V.

Carbone, C.

Cardone, V. F.

Carretero, J.

Casas, S.

Castellano, M.

Castignani, G.

Cavuoti, S.

Cimatti, A.

Colodro-Conde, C.

Congedo, G.

Conselice, C. J.

Conversi, L.

Copin, Y.

Courbin, F.

Courtois, H. M.

Cropper, M.

Da Silva, A.

Degaudenzi, H.

De Lucia, G.

Dinis, J.

Dubath, F.

Duncan, C. A. J.

Dupac, X.

Dusini, S.

Farina, M.

Farrens, S.

Faustini, F.

Ferriol, S.

Frailis, M.

Franceschi, E.

Fumana, M.

Galeotta, S.

Gillard, W.

Gillis, B.

Giocoli, C.

Gomez-Alvarez, P.

Grazian, A.

Grupp, F.

Guzzo, L.

Haugan, S. V. H.

Hoekstra, H.

Holmes, W.

Hormuth, F.

Hornstrup, A.

Hudelot, P.

Jahnke, K.

Jhabvala, M.

Keihanen, E.

Kermiche, S.

Kiessling, A.

Kubik, B.

Kummel, M.

Kunz, M.

Kurki-Suonio, H.

Ligori, S.

Lilje, P. B.

Lindholm, V.

Lloro, I.

Mainetti, G.

Maiorano, E.

Mansutti, O.

Marggraf, O.

Martinelli, M.

Martinet, N.

Marulli, F.

Massey, R.

Medinaceli, E.

Mei, S.

Melchior, M.

Mellier, Y.

Meneghetti, M.

Merlin, E.

Meylan, G.

Mohr, J. J.

Moresco, M.

Morin, B.

Moscardini, L.

Munari, E.

Nakajima, R.

Niemi, S-M

Padilla, C.

Paltani, S.

Pasian, F.

Pedersen, K.

Percival, W. J.

Pettorino, V.

Pires, S.

Polenta, G.

Poncet, M.

Popa, L. A.

Raison, F.

Renzi, A.

Rhodes, J.

Riccio, G.

Romelli, E.

Roncarelli, M.

Rossetti, E.

Saglia, R.

Sakr, Z.

Sanchez, A. G.

Sapone, D.

Sartoris, B.

Schirmer, M.

Schneider, P.

Schrabback, T.

Secroun, A.

Seidel, G.

Seiffert, M.

Serrano, S.

Sirignano, C.

Sirri, G.

Stanco, L.

Steinwagner, J.

Tallada-Crespi, P.

Taylor, A. N.

Tereno, I.

Toledo-Moreo, R.

Torradeflot, F.

Valenziano, L.

Vassallo, T.

Wang, Y.

Weller, J.

Zamorani, G.

Zucca, E.

Biviano, A.

Bolzonella, M.

Boucaud, A.

Bozzo, E.

Burigana, C.

Calabrese, M.

Di Ferdinando, D.

Vigo, J. A. Escartin

Finelli, F.

Gracia-Carpio, J.

Matthew, S.

Mauri, N.

Pezzotta, A.

Pontinen, M.

Scottez, V.

Mancini, A. Spurio

Tenti, M.

Viel, M.

Wiesmann, M.

Akrami, Y.

Anselmi, S.

Archidiacono, M.

Atrio-Barandela, F.

Balaguera-Antolinez, A.

Ballardini, M.

Benielli, D.

Blanchard, A.

Blot, L.

Bohringer, H.

Borgani, S.

Bruton, S.

Cabanac, R.

Calabro, A.

Quevedo, B. Camacho

Cappi, A.

Caro, F.

Carvalho, C. S.

Castro, T.

Chambers, K. C.

Cooray, A. R.

de la Torre, S.

Desprez, G.

Diaz-Sanchez, A.

Di Domizio, S.

Dole, H.

Escoffier, S.

Ferrari, A. G.

Ferreira, P. G.

Ferrero, I.

Finoguenov, A.

Fontana, A.

Fornari, F.

Gabarra, L.

Ganga, K.

Garcia-Bellido, J.

Gasparetto, T.

Gaztanaga, E.

Giacomini, F.

Gianotti, F.

Gozaliasl, G.

Gutierrez, C. M.

Hartley, W. G.

Hildebrandt, H.

Hjorth, J.

Munoz, A. Jimenez

Joudaki, S.

Kajava, J. J. E.

Kansal, V.

Karagiannis, D.

Kirkpatrick, C. C.

Kruk, S.

Lacasa, F.

Lattanzi, M.

Le Brun, A. M. C.

Le Graet, J.

Legrand, L.

Lesgourgues, J.

Liaudat, T. I.

Macias-Perez, J.

Magliocchetti, M.

Mannucci, F.

Maoli, R.

Martin-Fleitas, J.

Martins, C. J. A. P.

Maurin, L.

Metcalf, R. B.

Miluzio, M.

Monaco, P.

Montoro, A.

Moretti, C.

Morgante, G.

Murray, C.

Nadathur, S.

Walton, N. A.

Patrizii, L.

Popa, V.

Potter, D.

Reimberg, P.

Risso, I.

Rocci, P-F

Rollins, R. P.

Sahlén, Martin

Sarpa, E.

Schneider, A.

Sereno, M.

Simon, P.

Tanidis, K.

Tao, C.

Testera, G.

Teyssier, R.

Toft, S.

Tosi, S.

Troja, A.

Tucci, M.

Valieri, C.

Valiviita, J.

Vergani, D.

Verza, G.

Vielzeuf, P.

Brown, M. L.

Sellentin, E.

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2025 (English)In: Astronomy and Astrophysics, ISSN 0004-6361, E-ISSN 1432-0746, Vol. 694, article id A141Article in journal (Refereed) Published

Abstract [en]

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.

Place, publisher, year, edition, pages

EDP Sciences, 2025. Vol. 694, article id A141

Keywords [en]

gravitational lensing: weak, methods: statistical, surveys, cosmology: observations, large-scale structure of Universe

National Category

Astronomy, Astrophysics and Cosmology

Identifiers

URN: urn:nbn:se:uu:diva-555951DOI: 10.1051/0004-6361/202452018ISI: 001426034000001Scopus ID: 2-s2.0-85218102268OAI: oai:DiVA.org:uu-555951DiVA, id: diva2:1956901

Available from: 2025-05-07 Created: 2025-05-07 Last updated: 2025-05-07Bibliographically approved

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