Euclid preparation
Astronomy and Astrophysics, vol. 713, pp. A212
Abstract
The Euclid satellite will measure spectroscopic redshifts for tens of millions of emission-line galaxies, allowing for one of the most precise tests of the cosmological model. In the context of Stage-IV surveys such as Euclid , the 3D clustering of galaxies plays a key role, providing both geometrical and dynamical cosmological constraints. In this paper, we conduct a comprehensive model comparison campaign for the multipole moments of the galaxy 2-point correlation function (2PCF) in redshift space. We tested state-of-the-art models, in particular the effective field theory of large-scale structure (EFT), a model based on the velocity difference generating function (VDG ∞ ), and variants of the Lagrangian perturbation theory (LPT), namely convolutional Lagrangian perturbation theory (CLPT) and convolutional Lagrangian effective field theory (CLEFT). We analysed the first three even multipole moments of the 2PCF in the Flagship 1 simulation of emission-line galaxies, which consists of four snapshots at z ∈ {0.9, 1.2, 1.5, 1.8} covering the redshift range of the Euclid spectroscopic sample. We studied template-fitting and full-shape approaches and compared the different models in terms of three performance metrics: reduced χ 2 , a figure of merit, and a figure of bias. We find that with the template-fitting approach, only the VDG ∞ model is able to reach a minimum fitting scale of s min = 20 h −1 Mpc at z = 0.9 without biasing the recovered parameters. Indeed, the EFT model becomes inaccurate already at s min = 30 h −1 Mpc. Conversely, in the full-shape analysis, the CLEFT and VDG ∞ models perform similarly well, but only the CLEFT model can reach s min = 20 h −1 Mpc, while the VDG ∞ model is unbiased down to s min = 25 h −1 Mpc at the lowest redshift. Overall, in order to achieve the accuracy required by Euclid , non-perturbative modelling, such as in the VDG ∞ or CLEFT models, should be considered. At the highest redshift probed by Euclid , the CLPT model is sufficient to describe the data with a high figure of merit. This comparison selects baseline models that perform best in ideal conditions and sets the stage for an optimal analysis of Euclid data in configuration space.
Authors 100
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Centre National de la Recherche Scientifique · Université de Toulon · University of Milan · Aix-Marseille Université · Centre de Physique Théorique
Affiliation as printed
Aix-Marseille Université, CNRS, CNES, LAM
Aix-Marseille Université, Université de Toulon, CNRS, CPT
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
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Centre National de la Recherche Scientifique · Université Paris Cité · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Université Paris-Saclay · Astrophysique, Instrumentation et Modélisation
Affiliation as printed
Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM
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Centre National de la Recherche Scientifique · Aix-Marseille Université
Affiliation as printed
Aix-Marseille Université, CNRS, CNES, LAM
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
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Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
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Scuola Internazionale Superiore di Studi Avanzati · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing
Affiliation as printed
ICSC – Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
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Ikerbasque · Donostia International Physics Center
Affiliation as printed
Donostia International Physics Center (DIPC)
IKERBASQUE, Basque Foundation for Science
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Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
SISSA, International School for Advanced Studies
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Bielefeld University · Newcastle University
Affiliation as printed
Fakultät für Physik, Universität Bielefeld
School of Mathematics, Statistics and Physics, Newcastle University
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University of Milan · Istituto Nazionale di Fisica Nucleare, Sezione di Milano
Affiliation as printed
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
INFN-Sezione di Milano
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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics
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Technion – Israel Institute of Technology
Affiliation as printed
Technion Israel Institute of Technology
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
Affiliation as printed
Dipartimento di Fisica e Astronomia, Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Affiliation as printed
INFN Gruppo Collegato di Parma
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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
Affiliation as printed
Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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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
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
Affiliation as printed
Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
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Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma
Affiliation as printed
INFN Gruppo Collegato di Parma
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Brera Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Brera
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Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Affiliation as printed
Department of Physics, Oxford University
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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
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European Space Astronomy Centre
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo
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Affiliation as printed
Institut für Theoretische Physik, University of Heidelberg
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Brera Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Brera
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
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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
Affiliation as printed
Dipartimento di Fisica e Astronomia, Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
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Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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Astronomical Observatory of Capodimonte · University of Naples Federico II · National Institute for Astrophysics
Affiliation as printed
Department of Physics “E. Pancini”, University Federico II
INAF-Osservatorio Astronomico di Capodimonte
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Istituto Nazionale di Fisica Nucleare, Sezione di Torino · Osservatorio Astrofisico di Torino · University of Turin · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università degli Studi di Torino
INAF-Osservatorio Astrofisico di Torino
INFN-Sezione di Torino
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Leiden University · Royal Observatory · Leiden Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
Leiden Observatory, Leiden University
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Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
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National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
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Astronomical Observatory of Rome · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
INFN-Sezione di Roma, Piazzale Aldo Moro
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Universitat Autònoma de Barcelona · Port d'Informació Científica · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
Affiliation as printed
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)
Port d’Informació Científica, Campus UAB
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Astronomical Observatory of Rome · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Istituto Nazionale di Fisica Nucleare · Astronomical Observatory of Capodimonte · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Capodimonte
INFN section of Naples
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University of Hawaiʻi at Mānoa · University of Hawaii System
Affiliation as printed
Institute for Astronomy, University of Hawaii
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Affiliation as printed
Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna
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Instituto de Astrofísica de Canarias
Affiliation as printed
Instituto de Astrofísica de Canarias
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Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
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European Space Agency · European Space Astronomy Centre · European Space Research Institute
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo
European Space Agency/ESRIN
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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
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
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Institució Catalana de Recerca i Estudis Avançats · Institute of Space Sciences · Consejo Superior de Investigaciones Científicas · Institut de Ciències del Cosmos · Universitat de Barcelona
Affiliation as printed
Institució Catalana de Recerca i Estudis Avançats (ICREA)
Institut de Ciencies de l’Espai (IEEC-CSIC), Campus UAB, Carrer de Can Magrans
Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (IEEC-UB)
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
Affiliation as printed
UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon
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Affiliation as printed
Department of Astronomy, University of Geneva
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
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Affiliation as printed
Department of Astronomy, University of Geneva
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European Space Astronomy Centre
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo
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Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Padova
Affiliation as printed
INFN-Padova
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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
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
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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
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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Institute for Space Astrophysics and Planetology · National Institute for Astrophysics
Affiliation as printed
INAF-Istituto di Astrofisica e Planetologia Spaziali
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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Astronomical Observatory of Rome · Agenzia Spaziale Italiana · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
Space Science Data Center, Italian Space Agency
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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
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
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Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
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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
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
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National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
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Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Ludwig-Maximilians-Universität München
Affiliation as printed
University Observatory, LMU Faculty of Physics
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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
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
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Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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Max Planck Institute for Extraterrestrial Physics
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
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Osservatorio Astronomico di Padova · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Padova
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Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
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University of Milan · Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Milano · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Milano
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Affiliation as printed
Institute of Theoretical Astrophysics, University of Oslo
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
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Affiliation as printed
Felix Hormuth Engineering
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Technical University of Denmark
Affiliation as printed
Cosmic Dawn Center (DAWN)
Technical University of Denmark
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Max Planck Institute for Astronomy
Affiliation as printed
Max-Planck-Institut für Astronomie
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Affiliation as printed
NASA Goddard Space Flight Center
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Affiliation as printed
Department of Physics and Astronomy, University College London
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University of Helsinki · Helsinki Institute of Physics
Affiliation as printed
Department of Physics and Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki
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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
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
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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
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
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Ludwig-Maximilians-Universität München
Affiliation as printed
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics
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University of Helsinki · Helsinki Institute of Physics
Affiliation as printed
Department of Physics, P.O. Box 64, University of Helsinki
Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki
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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
Affiliation as printed
Laboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS
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Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
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Affiliation as printed
Institute of Theoretical Astrophysics, University of Oslo
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