Euclid preparation
Astronomy and Astrophysics, vol. 713, pp. A213
Abstract
The extraction of cosmological information from two-point statistics critically relies on the assumed form of their likelihood. Although a Gaussian likelihood is generally adopted, the first paper of this series showed that the distribution of power-spectrum estimates exhibits non-Gaussian features on both large and small scales ( k < 0.5 h /Mpc), with their amplitudes depending on the survey volume, masking, and shot noise. In this work, we account for this skewness in parameter inference by modelling the likelihood through an Edgeworth expansion. This procedure involves the complete skewness tensor, composed of one-point, two-point, and three-point correlators. To simplify the calculations of this expansion, we performed a change in the basis, which reduced the precision matrix to the identity. In this basis, the off-diagonal elements of the skewness tensor are consistent with zero, while the amplitude of its diagonal match the level expected for a Gaussian underlying field. We performed a parameter inference with this likelihood model and found that including only the diagonal part of the skewness is sufficient; whereas incorporating the full skewness tensor injects noise without improving accuracy. Despite the estimated excess skewness in the original basis, the cosmological constraints remain effectively unchanged when adopting a Gaussian likelihood or considering the more complete Edgeworth expansion, with variations in the figure of merit of cosmological parameters between the two cases below 5%. This result remains unchanged against variations of the survey volume and geometry, scale-cut, as well as the two-point statistics (i.e. power spectrum or correlation function). Using 10 000 cloned Euclid large mocks based on realistic galaxy catalogues with characteristics approximating future Euclid data, we found no detectable excess skewness on intermediate scales, due to the level of shot noise expected for the Euclid spectroscopic sample. We conclude that the Gaussian likelihood assumption is robust for Euclid two-point statistics analyses in both Fourier and the configuration space.
Authors 100
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Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials 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 · Université de Toulon · Centre de Physique Théorique
Affiliation as printed
Aix-Marseille Université, Université de Toulon, CNRS, CPT
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Inserm · Centre de physique des particules de Marseille · Centre de Génétique Médicale de Marseille
Affiliation as printed
Aix Marseille Univ, INSERM, MMG
Aix-Marseille Université, CNRS/IN2P3, CPPM
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National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
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European Space Agency · European Space Astronomy Centre
Affiliation as printed
ESAC/ESA
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National Institute for Astrophysics · Brera Astronomical Observatory
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 · National Institute for Astrophysics · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe
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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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · 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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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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Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique de Paris · Sorbonne Université · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Institut de Physique Théorique
Affiliation as printed
Institut de Physique Théorique, CEA, CNRS, Université Paris-Saclay
Institut d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne Université
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National Institute for Astrophysics · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
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National Institute for Astrophysics · University of Genoa · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · Brera Astronomical Observatory
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
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National Institute for Astrophysics · University of Naples Federico II · Astronomical Observatory of Capodimonte
Affiliation as printed
Department of Physics “E. Pancini”, University Federico II
INAF-Osservatorio Astronomico di Capodimonte
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National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Torino · University of Turin · Osservatorio Astrofisico di Torino
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 · University of Edinburgh · Royal Observatory · Leiden Observatory
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill
Leiden Observatory, Leiden University
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National Institute for Astrophysics · Osservatorio Astrofisico di Torino
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
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National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Astronomical Observatory of Rome
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
INFN-Sezione di Roma,Piazzale Aldo Moro, 2 – c/o Dipartimento di Fisica, Edificio G. Marconi
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Universitat Autònoma de Barcelona · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas · Port d'Informació Científica
Affiliation as printed
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)
Port d’Informació Científica, Campus UAB
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RWTH Aachen University · Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
Affiliation as printed
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR), Linder Höhe
Institute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen University
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National Institute for Astrophysics · Astronomical Observatory of Rome
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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National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · Astronomical Observatory of Capodimonte
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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Instituto de Astrofísica de Canarias
Affiliation as printed
Instituto de Astrofísica de Canarias
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University of Edinburgh · Royal Observatory
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill
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European Space Agency · European Space Astronomy Centre · European Space Research Institute
Affiliation as printed
ESAC/ESA
European Space Agency/ESRIN, Largo Galileo Galilei 1
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · 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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Institut de Ciències del Cosmos · Universitat de Barcelona · Institució Catalana de Recerca i Estudis Avançats · Consejo Superior de Investigaciones Científicas · Institute of Space Sciences
Affiliation as printed
Institució Catalana de Recerca i Estudis Avançats (ICREA)
Institut de Ciencies de l’Espai (IEEC-CSIC), Campus UAB
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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Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials 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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University of Lisbon · Institute of Astrophysics and Space Sciences
Affiliation as printed
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa,Campo Grande
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Affiliation as printed
Department of Astronomy, University of Geneva
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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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National Institute for Astrophysics · Trieste Astronomical Observatory
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 Agency · European Space Astronomy Centre
Affiliation as printed
ESAC/ESA
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Istituto Nazionale di Fisica Nucleare, Sezione di Padova · Istituto Nazionale di Fisica Nucleare
Affiliation as printed
INFN-Padova
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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National Institute for Astrophysics · Institute for Space Astrophysics and Planetology
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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Centre National de la Recherche Scientifique · Université Paris-Saclay · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Astrophysique, Instrumentation et Modélisation · Université Paris Cité
Affiliation as printed
Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · 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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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
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Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials 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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Affiliation as printed
School of Physics, HH Wills Physics Laboratory, University of Bristol
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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National Institute for Astrophysics · Trieste Astronomical Observatory
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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National Institute for Astrophysics · Trieste Astronomical Observatory
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 · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
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University of Edinburgh · Royal Observatory
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna
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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National Institute for Astrophysics · Osservatorio Astronomico di Padova
Affiliation as printed
INAF-Osservatorio Astronomico di Padova
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Ludwig-Maximilians-Universität München · Max Planck Institute for Extraterrestrial Physics
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
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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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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
Department of Physics and Astronomy, University College London
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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille
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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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · 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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Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics
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Affiliation as printed
Department of Physics
Helsinki Institute of Physics
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Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Sorbonne Université · Observatoire de Paris · 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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National Institute for Astrophysics · Osservatorio Astrofisico di Torino
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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Affiliation as printed
Department of Physics
Helsinki Institute of Physics
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Affiliation as printed
SKAO, Jodrell Bank, Lower Withington
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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
Affiliation as printed
Centre de Calcul de l’IN2P3/CNRS
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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 · Trieste Astronomical Observatory
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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FHNW University of Applied Sciences and Arts Northwestern Switzerland
Affiliation as printed
University of Applied Sciences and Arts of Northwestern Switzerland, School of Computer Science
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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
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National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Astronomical Observatory of Rome
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
INFN-Sezione di Roma,Piazzale Aldo Moro, 2 – c/o Dipartimento di Fisica, Edificio G. Marconi
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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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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · 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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Affiliation as printed
Department of Physics, Institute for Computational Cosmology, Durham University
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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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Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Université Paris Cité · Centre Pierre Binétruy
Affiliation as printed
CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3
Université Paris Cité, CNRS, Astroparticule et Cosmologie
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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
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National Institute for Astrophysics · Astronomical Observatory of Rome
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
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École Polytechnique Fédérale de Lausanne
Affiliation as printed
Institute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny
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Affiliation as printed
Telespazio UK S.L. for European Space Agency (ESA)
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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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Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · 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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Affiliation as printed
Universität Bonn, Argelander-Institut für Astronomie
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Universitat Autònoma de Barcelona · Institute for High Energy Physics · Barcelona Institute of Science and Technology · Port d'Informació Científica
Affiliation as printed
Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB
Port d’Informació Científica, Campus UAB
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European Space Agency · European Space Research and Technology Centre
Affiliation as printed
European Space Agency/ESTEC
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Institute for High Energy Physics · Barcelona Institute of Science and Technology
Affiliation as printed
Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB
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Affiliation as printed
Department of Astronomy, University of Geneva
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National Institute for Astrophysics · Trieste Astronomical Observatory
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
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Affiliation as printed
DARK, Niels Bohr Institute, University of Copenhagen
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