A

Euclid preparation. CosmoPostProcess: A simulation calibrated framework for weak lensing selection bias in richness-selected galaxy clusters

arXiv (Cornell University)

Abstract

We present \texttt{CosmoPostProcess}, a simulation-based forward-modelling algorithm calibrated to reproduce Euclid optical cluster observables. Its main deliverable is a correction for stacked surface-density profiles, binned in richness and redshift, accounting for selection systematics in richness-selected samples relative to unbiased references. We focus on the Euclid richness definition foreseen for cosmological analyses, which does not apply a colour selection; red-sequence richness is not considered. The algorithm processes $N$-body simulations by painting galaxies with a halo-occupation model and emulating survey detection and richness assignment. We also implement a novel estimate of optical cluster centres from projected galaxy densities, validated against Euclid pipelines. Baryonic effects are included through a correction calibrated on hydrodynamical simulations; the baryon-corrected excess surface density agrees within \(2\,\%\) over \(r\in[0.1,\,5]\,h^{-1}\,\mathrm{Mpc}\). Selection-bias contributions are assessed by varying cosmology and the mass--richness relation. Projection-induced selection bias follows a robust pattern: correlated large-scale structure projected along the line of sight enhances the stacked profile near the one-halo to two-halo transition, peaking at about \(1\,h^{-1}\,\mathrm{Mpc}\) with an amplitude of \(20\!-\!40\,\%\), depending on richness and redshift. The effect is mild at low and intermediate redshift ($z\lesssim0.7$), at the few-percent level, but becomes more relevant at higher redshift ($z\gtrsim0.7$). Baryonic modifications remain sub-dominant outside the core, at about \(2\,\%\) beyond \(r\gtrsim0.3\,h^{-1}\,\mathrm{Mpc}\). The framework delivers radial profile corrections with uncertainties, combining projection-induced selection bias, baryonic physics, and miscentring, to control systematics in Euclid DR1 cluster cosmology. (abridged)

Authors 100

  1. University of Trieste · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy

    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

  2. University of Trieste · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy

    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

  3. Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    ICSC - Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Via Magnanelli 2, Bologna, Italy

  4. University of Trieste · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing

    Affiliation as printed

    Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy

    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

    ICSC - Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Via Magnanelli 2, Bologna, Italy

  5. University of Trieste · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing

    Affiliation as printed

    Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy

    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

    ICSC - Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Via Magnanelli 2, Bologna, Italy

  6. University of Trieste · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    Dipartimento di Fisica - Sezione di Astronomia, Università di Trieste, Via Tiepolo 11, 34131 Trieste, Italy

    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

  7. Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  8. Universität Innsbruck

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    Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstr. 25/8, 6020 Innsbruck, Austria

  9. Centre National de la Recherche Scientifique · Université Paris Cité

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    Université Paris Cité, CNRS, Astroparticule et Cosmologie, 75013 Paris, France

  10. Centre National de la Recherche Scientifique · Université Côte d'Azur · Lagrange Laboratory · Observatoire de la Côte d’Azur

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    Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Laboratoire Lagrange, Bd de l'Observatoire, CS 34229, 06304 Nice cedex 4, France

  11. 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

  12. 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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    INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy

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    IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

    INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy

    SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy

  16. 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

    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

  17. 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

  19. 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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  21. Astronomical Observatory of Capodimonte · University of Naples Federico II

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  23. Osservatorio Astrofisico di Torino · National Institute for Astrophysics

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    INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese

  24. National Institute for Astrophysics

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    INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy

  25. 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

  26. Astronomical Observatory of Rome · National Institute for Astrophysics

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    INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy

  27. 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

  28. 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

  29. University of Bologna

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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

  30. Instituto de Astrofísica de Canarias

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    Instituto de Astrofísica de Canarias, E-38205 La Laguna, Tenerife, Spain

  31. Royal Observatory · University of Edinburgh

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    Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK

  32. 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

  33. 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

  34. 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

  35. 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

  36. University of Geneva

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    Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland

  37. Trieste Astronomical Observatory

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    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  38. University of Geneva

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    Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

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    Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, 91191, Gif-sur-Yvette, France

  44. 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

  45. 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

  46. Institut d'Estudis Espacials de Catalunya

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    Institut d'Estudis Espacials de Catalunya

    Institute of Space Sciences

  47. Trieste Astronomical Observatory

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    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  48. 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

  49. National Institute for Astrophysics

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    INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy

  50. Ludwig-Maximilians-Universität München

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    University Observatory, LMU Faculty of Physics, Scheinerstr.~1, 81679 Munich, Germany

  51. Royal Observatory · University of Edinburgh

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    Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK

  52. 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

  53. Max Planck Institute for Extraterrestrial Physics

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    Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany

  54. Osservatorio Astronomico di Padova

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    INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy

  55. 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

  56. University of Oslo

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    Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway

  57. Leiden University · Leiden Observatory

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    Leiden Observatory, Leiden University, Einsteinweg 55, 2333 CC Leiden, The Netherlands

  58. Jet Propulsion Laboratory

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    Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA

  59. Affiliation as printed

    Felix Hormuth Engineering, Goethestr. 17, 69181 Leimen, Germany

  60. Technical University of Denmark

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    Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, Denmark

    Cosmic Dawn Center

  61. 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

  63. University College London

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    Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK

  64. 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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  67. University of Helsinki · Helsinki Institute of Physics

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  70. University of Oslo

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  75. Trieste Astronomical Observatory

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  76. University of Bonn

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    Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany

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  79. 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 "Augusto Righi" - Alma Mater Studiorum Università di Bologna, via Piero Gobetti 93/2, 40129 Bologna, Italy

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  80. Durham University

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    Department of Physics, Institute for Computational Cosmology, Durham University, South Road, Durham, DH1 3LE, UK

  81. Centre National de la Recherche Scientifique · Université Côte d'Azur · Lagrange Laboratory · Observatoire de la Côte d’Azur

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    Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Laboratoire Lagrange, Bd de l'Observatoire, CS 34229, 06304 Nice cedex 4, France

  82. 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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    Université Paris Cité, CNRS, Astroparticule et Cosmologie, 75013 Paris, France

    CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3, Berkeley, USA

  84. 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

  85. Osservatorio Astronomico di Padova

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    INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy

  86. École Polytechnique Fédérale de Lausanne

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    Institute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne

  87. European Space Agency

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    Telespazio UK S.L. for European Space Agency

  88. 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, via Piero Gobetti 93/2, 40129 Bologna, Italy

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy

  89. 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 "Augusto Righi" - Alma Mater Studiorum Università di Bologna, via Piero Gobetti 93/2, 40129 Bologna, Italy

    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

  90. Institute for High Energy Physics · Port d'Informació Científica

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    Institut de Física d'Altes Energies

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  91. European Space Agency · European Space Research and Technology Centre

    Affiliation as printed

    European Space Agency/ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands

  92. Institute for High Energy Physics

    Affiliation as printed

    Institut de Física d'Altes Energies

  93. University of Geneva

    Affiliation as printed

    Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland

  94. Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy

  95. University of Copenhagen

    Affiliation as printed

    DARK, Niels Bohr Institute, University of Copenhagen, Jagtvej 155, 2200 Copenhagen, Denmark

  96. European Space Agency · European Space Research and Technology Centre

    Affiliation as printed

    European Space Agency/ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands

  97. 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, 91191, Gif-sur-Yvette, France

  98. Agenzia Spaziale Italiana

    Affiliation as printed

    Space Science Data Center, Italian Space Agency, via del Politecnico snc, 00133 Roma, Italy

  99. Centre National d'Études Spatiales

    Affiliation as printed

    Centre National d'Etudes Spatiales -- Centre spatial de Toulouse, 18 avenue Edouard Belin, 31401 Toulouse Cedex 9, France

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