Work

Euclid preparation. Galaxy power spectrum modelling in redshift space

Year: 2026
Type: preprint
Abstract: Accurate modelling of redshift-space distortions (RSD) is essential for maximizing the cosmological information extracted from large galaxy redshift surveys. In preparation for the forthcoming analysis of the Euclid spectroscopic data, we investigate three approaches to modelling RSD effects on the power spectrum multipoles of mock H$α$ emission line galaxies. We focus on two one-loop perturbation theory models -- the effective field theory (EFT) and velocity difference generator (${\rm VDG_ \infty}$) -- which differ in their treatment of the real-to-redshift space mapping on small scales, and a third approach, the BACCO emulator, which adopts a hybrid strategy combining perturbation theory with high-resolution N-body simulations. We assess the ability of these models to recover key cosmological parameters, including the expansion rate $h$, the cold dark matter density parameter $ω_{\rm c}$, and the scalar amplitude $A_{\rm s}$, across four redshift bins spanning $0.9 \leq z \leq 1.8$. In each bin, we find that ${\rm VDG_ \infty}$ and BACCO outperform the EFT model across all scales up to $k_{max} \lesssim 0.35 h\,Mpc^{-1} $. While BACCO saturates in constraining power at intermediate scales and higher redshift, the ${\rm VDG_ \infty}$ model continues to improve parameter constraints beyond $k_{max} \gtrsim 0.30 h\,Mpc^{-1}$. The EFT model, although robust on large scales, exhibits significant parameter biases for $k_{max} \gtrsim 0.25 h\,Mpc^{-1}$, limiting its applicability to Euclid-like H$α$ samples. Among the full perturbation theory-based models, the enhanced treatment of small-scale RSD effects in ${\rm VDG_ \infty}$ improves cosmological parameter constraints by up to a factor of two.
Authors: Euclid Collaboration, Quevedo, B. Camacho, Crocce, M., Ibañez, M. Pellejero, Angulo, R. E., Pezzotta, A., Eggemeier, A., Gambardella, G., Moretti, C., Sefusatti, E., Dizgah, A. Moradinezhad, Gaztanaga, E., Zennaro, M., Breton, M. -A., Chudaykin, A., D'Amico, G., Desjacques, V., de la Torre, S., Fosalba, P., Guidi, M., Kärcher, M., Pardede, K., Porciani, C., Pugno, A., Salvalaggio, J., Sarpa, E., Veropalumbo, A., Altieri, B., Andreon, S., Auricchio, N., Baccigalupi, C., Baldi, M., Bardelli, S., Bender, R., Biviano, A., Branchini, E., Brescia, M., Camera, S., Capobianco, V., Carbone, C., Cardone, V. F., Carretero, J., Casas, S., Castander, F. J., Castellano, M., Castignani, G., Cavuoti, S., Chambers, K. C., Cimatti, A., Colodro-Conde, C., Congedo, G., Conversi, L., Copin, Y., Courbin, F., Courtois, H. M., Degaudenzi, H., De Lucia, G., Dole, H., Douspis, M., Dubath, F., Duncan, C. A. J., Dupac, X., Dusini, S., Escoffier, S., Farina, M., Farinelli, R., Farrens, S., Ferriol, S., Finelli, F., Fotopoulou, S., Fourmanoit, N., Frailis, M., Franceschi, E., Fumana, M., Galeotta, S., George, K., Gillis, B., Giocoli, C., Gracia-Carpio, J., Grazian, A., Grupp, F., Guzzo, L., Haugan, S. V. H., Holmes, W., Hormuth, F., Hornstrup, A., Jahnke, K., Joachimi, B., Kermiche, S., Kiessling, A., Kubik, B., Kümmel, M., Kunz, M., Kurki-Suonio, H., Brun, A. M. C. Le, Ligori, S., Lilje, P. B., Lindholm, V., Lloro, I., Mainetti, G., Maiorano, E., Mansutti, O., Marcin, S., Marggraf, O., Martinelli, M., Martinet, N., Marulli, F., Massey, R. J., Medinaceli, E., Melchior, M., Meneghetti, M., Merlin, E., Meylan, G., Mora, A., Moresco, M., Moscardini, L., Neissner, C., 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., Rhodes, J., Riccio, G., Rizzo, F., Romelli, E., Roncarelli, M., Saglia, R., Sakr, Z., Sánchez, A. G., Sapone, D., Sartoris, B., Schneider, P., Secroun, A., Seidel, G., Sihvola, E., Simon, P., Sirignano, C., Sirri, G., Mancini, A. Spurio, Stanco, L., Tallada-Crespí, P., Tavagnacco, D., Taylor, A. N., Tereno, I., Tessore, N., Toft, S., Toledo-Moreo, R., Torradeflot, F., Tutusaus, I., Valiviita, J., Vassallo, T., Wang, Y., Weller, J., Zamorani, G., Zerbi, F. M., Zucca, E., Allevato, V., Ballardini, M., Boucaud, A., Bozzo, E., Burigana, C., Cabanac, R., Calabrese, M., Cappi, A., Castro, T., Vigo, J. A. Escartin, Gabarra, L., Macias-Perez, J., Maoli, R., Martín-Fleitas, J., Mauri, N., Metcalf, R. B., Monaco, P., Nucita, A. A., Pöntinen, M., Risso, I., Scottez, V., Sereno, M., Tenti, M., Tucci, M., Viel, M., Wiesmann, M., Akrami, Y., Andika, I. T., Angora, G., Archidiacono, M., Atrio-Barandela, F., Bazzanini, L., Bel, J., Bertacca, D., Bethermin, M., Blanchard, A., Blot, L., Böhringer, H., Borgani, S., Brown, M. L., Bruton, S., Calabro, A., Caro, F., Carvalho, C. S., Cogato, F., Cooray, A. R., Davini, S., De Paolis, F., Desprez, G., Díaz-Sánchez, A., Di Domizio, S., Diego, J. M., Duret, V., Elkhashab, M. Y., Enia, A., Fang, Y., Ferrari, A. G., Finoguenov, A., Fontana, A., Fontanot, F., Franco, A., Ganga, K., Gasparetto, T., Giacomini, F., Gianotti, F., Gozaliasl, G., Gruppuso, A., Gutierrez, C. M., Hall, A., Hernández-Monteagudo, C., Hildebrandt, H., Hjorth, J., Kajava, J. J. E., Kang, Y., Kansal, V., Karagiannis, D., Kiiveri, K., Kim, J., Kirkpatrick, C. C., Kruk, S., Legrand, L., Lembo, M., Lepori, F., Leroy, G., Lesci, G. F., Lesgourgues, J., Liaudat, T. I., Magliocchetti, M., Mannucci, F., Martins, C. J. A. P., Maurin, L., Miluzio, M., Montoro, A., Morgante, G., Nadathur, S., Naidoo, K., Navarro-Alsina, A., Nesseris, S., Pagano, L., Paoletti, D., Passalacqua, F., Paterson, K., Patrizii, L., Pisani, A., Potter, D., Pratt, G. W., Quai, S., Radovich, M., Rojas, K., Roster, W., Sacquegna, S., Sahlén, M., Sanders, D. B., Schneider, A., Sciotti, D., Sellentin, E., Smith, L. C., Tanidis, K., Tao, C., Tarsitano, F., Testera, G., Teyssier, R., Tosi, S., Troja, A., Vergani, D., Vernizzi, F., Verza, G., Vielzeuf, P., Vinciguerra, S., Walton, N. A., Wright, A. H.
Institutions: Institute of Space Sciences, Scuola Internazionale Superiore di Studi Avanzati, Trieste Astronomical Observatory, Institute for Fundamental Physics of the Universe, Institut d'Estudis Espacials de Catalunya, Royal Observatory, University of Edinburgh, Ikerbasque, Donostia International Physics Center, Brera Astronomical Observatory, University of Bonn, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Centre National de la Recherche Scientifique, Laboratoire d'Annecy de Physique Théorique, Université Savoie Mont Blanc, University of Portsmouth, University of Oxford, Université Paris Cité, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, Astrophysique, Instrumentation et Modélisation, University of Geneva, University of Parma, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma, Technion – Israel Institute of Technology, Aix-Marseille Université, Osservatorio di Astrofisica e Scienza dello Spazio, National Institute for Astrophysics, University of Bologna, University of Milan, University of Trieste, Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Istituto Nazionale di Fisica Nucleare, Sezione di Genova, University of Genoa, European Space Astronomy Centre, Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Max Planck Institute for Extraterrestrial Physics, Ludwig-Maximilians-Universität München, Astronomical Observatory of Capodimonte, University of Naples Federico II, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Osservatorio Astrofisico di Torino, University of Turin, Astronomical Observatory of Rome, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Port d'Informació Científica, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR), Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, University of Hawaiʻi at Mānoa, University of Hawaii System, Instituto de Astrofísica de Canarias, European Space Agency, European Space Research Institute, Lyon 1 Université, Institut National de Physique Nucléaire et de Physique des Particules, Institut de Physique des 2 Infinis de Lyon, Institució Catalana de Recerca i Estudis Avançats, Institut de Ciències del Cosmos, Institut d'Astrophysique Spatiale, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Centre de physique des particules de Marseille, Institute for Space Astrophysics and Planetology, University of Bristol, Osservatorio Astronomico di Padova, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, University of Oslo, Jet Propulsion Laboratory, Technical University of Denmark, Max Planck Institute for Astronomy, University College London, University of Helsinki, Helsinki Institute of Physics, Université Paris Sciences et Lettres, Observatoire de Paris, Sorbonne Université, Laboratoire d'Étude de l'Univers et des Phénomènes Extrêmes, SKA Observatory, Centre de Calcul de l’Institut National de Physique Nucléaire et de Physique des Particules, FHNW University of Applied Sciences and Arts Northwestern Switzerland, Durham University, École Polytechnique Fédérale de Lausanne, Institute for High Energy Physics, European Space Research and Technology Centre, University of Copenhagen, University of Waterloo, Perimeter Institute, Agenzia Spaziale Italiana, Centre National d'Études Spatiales, Institute of Space Science - INFLPR Subsidiary, Consejo Superior de Investigaciones Científicas, Saint Joseph University, Instituto de Física Teórica, Institut de Recherche en Astrophysique et Planétologie, University of Chile, University of Padua, University of London, Royal Holloway University of London, University of Lisbon, Institute of Astrophysics and Space Sciences, Universidad Politécnica de Cartagena, California Institute of Technology, Infrared Processing and Analysis Center, University of Ferrara, Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara, Istituto di Radioastronomia di Bologna, Osservatorio Astronomico della Regione Autonoma Valle d'Aosta, Regione Autonoma Valle d'Aosta, Université Côte d'Azur, Lagrange Laboratory, Observatoire de la Côte d’Azur, Institut polytechnique de Grenoble, Sapienza University of Rome, University of Salento, Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Université Catholique de Lille, Institut d'Astrophysique de Paris, JUNIA, Case Western Reserve University, Universidad de Salamanca, Université de Toulon, Observatoire astronomique de Strasbourg, Université de Strasbourg, Kavli Institute for the Physics and Mathematics of the Universe, Max Planck Institute for Physics, University of Manchester, University of California, Irvine, University of Groningen, Instituto de Física de Cantabria, Aalto University, Universidad de La Laguna, Ruhr University Bochum, University of Turku, ARC Centre of Excellence for Dark Matter Particle Physics, Swinburne University of Technology, University of the Western Cape, University of Cambridge, CEA Paris-Saclay, Institut de Recherche sur les Lois Fondamentales de l'Univers, Arcetri Astrophysical Observatory, Universidade do Porto, Centro de Astrofísica da Universidade do Porto, University of Zurich, Collurania Teramo Observatory, Uppsala University, Leiden University, Leiden Observatory, University of Nova Gorica, ETH Zurich, Institute for Particle Physics and Astrophysics, Princeton University, Institut de Physique Théorique, The Abdus Salam International Centre for Theoretical Physics (ICTP), Flatiron Institute
Language: English
Open Access status: green
OpenAlex ID: W7126063304
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