Euclid preparation. Galaxy power spectrum and bispectrum modelling
Abstract
Higher-order correlation functions of the large-scale galaxy distribution offer access to information beyond that contained in standard 2-point statistics such as the power spectrum. In this work we assess this potential for the $\textit{Euclid}$ mission using synthetic catalogues of H$α$ galaxies based on the 54 $\, h^{-3} \, {\rm Gpc}^3$ Flagship I simulation, designed to reproduce the $\textit{Euclid}$ spectroscopic sample. We comprehensively validate the one-loop galaxy power spectrum and tree-level bispectrum predictions from perturbation theory in both real and redshift space. Assuming scale cuts consistent with our previous power spectrum study on the same catalogues, this modelling yields unbiased cosmological constraints for the bispectrum up to $k_{\rm max} = 0.15\,\, h \, {\rm Mpc}^{-1}$ in real space and $0.08 \, (0.1)\,\, h \, {\rm Mpc}^{-1}$ at the lowest (highest) redshift, corresponding to $z=0.9$ ($z=1.8$), for the monopole and quadrupole in redshift space using statistical uncertainties corresponding to the full simulation volume. With these scale cuts, adding bispectrum information to the power spectrum improves constraints on the amplitude of scalar perturbations and the matter density by up to 30 %, increasing the overall figure of merit for key cosmological parameters by a factor of about 2.5. Similar conclusions hold when statistical uncertainties are rescaled to a $\textit{Euclid}$-like volume, highlighting the importance of the bispectrum for fully exploiting the forthcoming $\textit{Euclid}$ data. Our analysis also provides the first detailed characterisation of the nonlinear bias model of H$α$ emitters, showing that bias relations calibrated on low-resolution \textit{N}-body simulations do not adequately describe the clustering of H$α$ galaxies at low redshift, whereas excursion-set and co-evolution relations for tidal biases remain accurate.
Authors 99
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The Abdus Salam International Centre for Theoretical Physics (ICTP) · Jet Propulsion Laboratory · Scuola Internazionale Superiore di Studi Avanzati · Institute for Fundamental Physics of the Universe · Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Affiliation as printed
INFN Gruppo Collegato di Parma, Viale delle Scienze 7/A 43124 Parma, Italy
SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy
International Centre for Theoretical Physics
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany
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Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy
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Centre National de la Recherche Scientifique · Laboratoire d'Annecy de Physique Théorique · Université Savoie Mont Blanc
Affiliation as printed
Laboratoire d'Annecy-le-Vieux de Physique Theorique, CNRS \& Universite Savoie Mont Blanc, 9 Chemin de Bellevue, BP 110, Annecy-le-Vieux, 74941 ANNECY Cedex, France
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Centre National de la Recherche Scientifique · Laboratoire d'Annecy de Physique Théorique · Université Savoie Mont Blanc
Affiliation as printed
Laboratoire d'Annecy-le-Vieux de Physique Theorique, CNRS \& Universite Savoie Mont Blanc, 9 Chemin de Bellevue, BP 110, Annecy-le-Vieux, 74941 ANNECY Cedex, France
Institute for Theoretical Particle Physics and Cosmology
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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics, 24 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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Affiliation as printed
Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy
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Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
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INFN Gruppo Collegato di Parma, Viale delle Scienze 7/A 43124 Parma, Italy
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University of Padua · Istituto Nazionale di Fisica Nucleare, Sezione di Padova
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Dipartimento di Fisica e Astronomia "G. Galilei", Università di Padova, Via Marzolo 8, 35131 Padova, Italy
INFN-Padova, Via Marzolo 8, 35131 Padova, Italy
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa
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INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy
INFN-Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy
Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy
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Institut d'Estudis Espacials de Catalunya
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Institute of Space Sciences
Institut d'Estudis Espacials de Catalunya
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Centre National de la Recherche Scientifique · Laboratoire d'Annecy de Physique Théorique · Université Savoie Mont Blanc
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Laboratoire d'Annecy-le-Vieux de Physique Theorique, CNRS \& Universite Savoie Mont Blanc, 9 Chemin de Bellevue, BP 110, Annecy-le-Vieux, 74941 ANNECY Cedex, France
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Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy
INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
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Bielefeld University · Newcastle University
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School of Mathematics, Statistics and Physics, Newcastle University, Herschel Building, Newcastle-upon-Tyne, NE1 7RU, UK
Fakultät für Physik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany
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University of Milan · Istituto Nazionale di Fisica Nucleare, Sezione di Milano
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Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy
INFN-Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
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University of Parma · Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
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Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Viale delle Scienze 7/A 43124 Parma, Italy
INFN Gruppo Collegato di Parma, Viale delle Scienze 7/A 43124 Parma, Italy
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Technion – Israel Institute of Technology
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Technion Israel Institute of Technology, Israel
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa
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Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy
INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy
INFN-Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy
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Institut d'Estudis Espacials de Catalunya
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Institute of Space Sciences
Institut d'Estudis Espacials de Catalunya
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
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Dipartimento di Fisica e Astronomia, Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy
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California Institute of Technology
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Institute for Theoretical Particle Physics and Cosmology
California Institute of Technology, 1200 E California Blvd, Pasadena, CA 91125, USA
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Affiliation as printed
Institute for Theoretical Particle Physics and Cosmology
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Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy
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Brera Astronomical Observatory
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INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy
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Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany
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University of Trieste · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy
INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy
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European Space Astronomy Centre
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Brera Astronomical Observatory
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
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Dipartimento di Fisica e Astronomia, Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy
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INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
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Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy
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Astronomical Observatory of Capodimonte · University of Naples Federico II
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Department of Physics "E. Pancini", University Federico II, Via Cinthia 6, 80126, Napoli, Italy
INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy
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Istituto Nazionale di Fisica Nucleare, Sezione di Torino · Osservatorio Astrofisico di Torino · University of Turin · National Institute for Astrophysics
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Leiden University · Royal Observatory · Leiden Observatory · University of Edinburgh
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Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK
Leiden Observatory, Leiden University, Einsteinweg 55, 2333 CC Leiden, The Netherlands
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National Institute for Astrophysics
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Astronomical Observatory of Rome · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · National Institute for Astrophysics
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INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy
INFN-Sezione di Roma, Piazzale Aldo Moro, 2 - c/o Dipartimento di Fisica, Edificio G. Marconi, 00185 Roma, Italy
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Port d'Informació Científica · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
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Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra
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Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
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Institute for Theoretical Particle Physics and Cosmology
Deutsches Zentrum für Luft- und Raumfahrt e. V
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Astronomical Observatory of Rome · National Institute for Astrophysics
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INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
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Astronomical Observatory of Capodimonte · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli
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INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy
INFN section of Naples, Via Cinthia 6, 80126, Napoli, Italy
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University of Hawaiʻi at Mānoa · University of Hawaii System
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Institute for Astronomy, University of Hawaii, 2680 Woodlawn Drive, Honolulu, HI 96822, USA
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Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
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Instituto de Astrofísica de Canarias
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Instituto de Astrofísica de Canarias, E-38205 La Laguna, Tenerife, Spain
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Affiliation as printed
Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
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European Space Agency · European Space Astronomy Centre · European Space Research Institute
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European Space Agency/ESRIN, Largo Galileo Galilei 1, 00044 Frascati, Roma, Italy
ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain
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Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
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Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France
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Institució Catalana de Recerca i Estudis Avançats · Institute of Space Sciences · Institut de Ciències del Cosmos
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Institut de Ciències del Cosmos
Institució Catalana de Recerca i Estudis Avançats
Institut de Ciencies de l'Espai
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Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
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UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon, 4 rue Enrico Fermi, 69622 Villeurbanne, France
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University of Lisbon · Institute of Astrophysics and Space Sciences
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Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande, PT1749-016 Lisboa, Portugal
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal
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Affiliation as printed
Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland
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Centre National de la Recherche Scientifique · Aix-Marseille Université
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Aix-Marseille Université, CNRS, CNES, LAM, Marseille, France
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Trieste Astronomical Observatory
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
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Université Paris-Saclay, CNRS, Institut d'astrophysique spatiale, 91405, Orsay, France
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Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland
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European Space Astronomy Centre
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ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain
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Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules
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Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France
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Institute for Space Astrophysics and Planetology · National Institute for Astrophysics
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INAF-Istituto di Astrofisica e Planetologia Spaziali, via del Fosso del Cavaliere, 100, 00100 Roma, Italy
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
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Astronomical Observatory of Rome · Agenzia Spaziale Italiana · National Institute for Astrophysics
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INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy
Space Science Data Center, Italian Space Agency, via del Politecnico snc, 00133 Roma, Italy
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Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
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Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
INFN-Bologna, Via Irnerio 46, 40126 Bologna, Italy
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Institut d'Estudis Espacials de Catalunya
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Institut d'Estudis Espacials de Catalunya
Institute of Space Sciences
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Affiliation as printed
School of Physics, HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK
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Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules
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Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France
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Trieste Astronomical Observatory
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
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National Institute for Astrophysics
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INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy
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Trieste Astronomical Observatory
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INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy
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Ludwig-Maximilians-Universität München
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University Observatory, LMU Faculty of Physics, Scheinerstr.~1, 81679 Munich, Germany
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Royal Observatory · University of Edinburgh
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Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
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INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy
INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
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Max Planck Institute for Extraterrestrial Physics
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Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany
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Osservatorio Astronomico di Padova
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INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy
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Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München
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Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstr.~1, 81679 München, Germany
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Affiliation as printed
Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA
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Felix Hormuth Engineering, Goethestr. 17, 69181 Leimen, Germany
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Technical University of Denmark
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Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, Denmark
Cosmic Dawn Center
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Max Planck Institute for Astronomy
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Max-Planck-Institut für Astronomie, Königstuhl 17, 69117 Heidelberg, Germany
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NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA
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Affiliation as printed
Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK
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Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules
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Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA
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Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
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Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France
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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics, 24 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland
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University of Helsinki · Helsinki Institute of Physics
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Department of Physics, P.O. Box 64, University of Helsinki, 00014 Helsinki, Finland
Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, 00014 Helsinki, Finland
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Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d'Étude de l'Univers et des Phénomènes Extrêmes
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Laboratoire d'etude de l'Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS, 92190 Meudon, France
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Osservatorio Astrofisico di Torino · National Institute for Astrophysics
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INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese
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Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway
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University of Helsinki · Helsinki Institute of Physics
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Department of Physics, P.O. Box 64, University of Helsinki, 00014 Helsinki, Finland
Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, 00014 Helsinki, Finland
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Affiliation as printed
SKAO, Jodrell Bank, Lower Withington, Macclesfield SK11 9FT, UK
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Centre National de la Recherche Scientifique · Centre de Calcul de l’Institut National de Physique Nucléaire et de Physique des Particules
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Centre de Calcul de l'IN2P3/CNRS, 21 avenue Pierre de Coubertin 69627 Villeurbanne Cedex, France
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