A

Planck 2018 results

Astronomy and Astrophysics, vol. 641, pp. A6

Abstract

We present cosmological parameter results from the final full-mission Planck measurements of the cosmic microwave background (CMB) anisotropies, combining information from the temperature and polarization maps and the lensing reconstruction. Compared to the 2015 results, improved measurements of large-scale polarization allow the reionization optical depth to be measured with higher precision, leading to significant gains in the precision of other correlated parameters. Improved modelling of the small-scale polarization leads to more robust constraints on many parameters, with residual modelling uncertainties estimated to affect them only at the 0.5 σ level. We find good consistency with the standard spatially-flat 6-parameter ΛCDM cosmology having a power-law spectrum of adiabatic scalar perturbations (denoted “base ΛCDM” in this paper), from polarization, temperature, and lensing, separately and in combination. A combined analysis gives dark matter density Ω c h 2 = 0.120 ± 0.001, baryon density Ω b h 2 = 0.0224 ± 0.0001, scalar spectral index n s = 0.965 ± 0.004, and optical depth τ = 0.054 ± 0.007 (in this abstract we quote 68% confidence regions on measured parameters and 95% on upper limits). The angular acoustic scale is measured to 0.03% precision, with 100 θ * = 1.0411 ± 0.0003. These results are only weakly dependent on the cosmological model and remain stable, with somewhat increased errors, in many commonly considered extensions. Assuming the base-ΛCDM cosmology, the inferred (model-dependent) late-Universe parameters are: Hubble constant H 0 = (67.4 ± 0.5) km s −1 Mpc −1 ; matter density parameter Ω m = 0.315 ± 0.007; and matter fluctuation amplitude σ 8 = 0.811 ± 0.006. We find no compelling evidence for extensions to the base-ΛCDM model. Combining with baryon acoustic oscillation (BAO) measurements (and considering single-parameter extensions) we constrain the effective extra relativistic degrees of freedom to be N eff = 2.99 ± 0.17, in agreement with the Standard Model prediction N eff = 3.046, and find that the neutrino mass is tightly constrained to ∑ m ν < 0.12 eV. The CMB spectra continue to prefer higher lensing amplitudes than predicted in base ΛCDM at over 2 σ , which pulls some parameters that affect the lensing amplitude away from the ΛCDM model; however, this is not supported by the lensing reconstruction or (in models that also change the background geometry) BAO data. The joint constraint with BAO measurements on spatial curvature is consistent with a flat universe, Ω K = 0.001 ± 0.002. Also combining with Type Ia supernovae (SNe), the dark-energy equation of state parameter is measured to be w 0 = −1.03 ± 0.03, consistent with a cosmological constant. We find no evidence for deviations from a purely power-law primordial spectrum, and combining with data from BAO, BICEP2, and Keck Array data, we place a limit on the tensor-to-scalar ratio r 0.002 < 0.06. Standard big-bang nucleosynthesis predictions for the helium and deuterium abundances for the base-ΛCDM cosmology are in excellent agreement with observations. The Planck base-ΛCDM results are in good agreement with BAO, SNe, and some galaxy lensing observations, but in slight tension with the Dark Energy Survey’s combined-probe results including galaxy clustering (which prefers lower fluctuation amplitudes or matter density parameters), and in significant, 3.6 σ , tension with local measurements of the Hubble constant (which prefer a higher value). Simple model extensions that can partially resolve these tensions are not favoured by the Planck data.

Authors 96

  1. Université Paris-Sud · Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    Institut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, France

  2. Leiden University · Centre National de la Recherche Scientifique · University of Oslo · Université Paris Sciences et Lettres · École Normale Supérieure - PSL

    Affiliation as printed

    Département de Physique, École normale supérieure, PSL Research University, CNRS, 24 rue Lhomond, 75005 Paris, France

    Institute Lorentz, Leiden University, PO Box 9506, Leiden 2300 RA, The Netherlands

    Institute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, Norway

  3. University of Cambridge

    Affiliation as printed

    Astrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge, CB3 0HE, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  4. Université Toulouse III - Paul Sabatier · Institut de Recherche en Astrophysique et Planétologie · Université de Toulouse

    Affiliation as printed

    Université de Toulouse, UPS-OMP, IRAP, 31028 Toulouse Cedex 4, France

  5. Scuola Internazionale Superiore di Studi Avanzati

    Affiliation as printed

    SISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, Italy

  6. Osservatorio di Astrofisica e Scienza dello Spazio · University of the Western Cape · National Institute for Astrophysics

    Affiliation as printed

    Department of Physics & Astronomy, University of the Western Cape, Cape Town 7535, South Africa

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

  7. Centre National de la Recherche Scientifique · Université Toulouse III - Paul Sabatier · Institut de Recherche en Astrophysique et Planétologie · Université de Toulouse

    Affiliation as printed

    CNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France

    Université de Toulouse, UPS-OMP, IRAP, 31028 Toulouse Cedex 4, France

  8. Universidad de Cantabria · Instituto de Física de Cantabria

    Affiliation as printed

    Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, Spain

  9. University of Padua · Istituto Nazionale di Fisica Nucleare, Sezione di Padova

    Affiliation as printed

    Dipartimento di Fisica e Astronomia G. Galilei, Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy

    Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy

  10. Indian Institute of Science Education and Research Thiruvananthapuram

    Affiliation as printed

    School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala PO, Vithura, Thiruvananthapuram 695551, Kerala, India

  11. University of Manchester

    Affiliation as printed

    Jodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UK

  12. Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université

    Affiliation as printed

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, UMR7095, Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

  13. Centre National de la Recherche Scientifique · Université Toulouse III - Paul Sabatier · Institut de Recherche en Astrophysique et Planétologie · Université de Toulouse

    Affiliation as printed

    CNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France

    Université de Toulouse, UPS-OMP, IRAP, 31028 Toulouse Cedex 4, France

  14. University of Milan · National Institute for Astrophysics

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria, 16, Milano, Italy

    INAF/IASF Milano, Via E. Bassini 15, Milano, Italy

  15. Scuola Internazionale Superiore di Studi Avanzati · National Centre for Nuclear Research

    Affiliation as printed

    National Centre for Nuclear Research, ul. L. Pasteura 7, 02-093 Warsaw, Poland

    SISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, Italy

  16. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

    California Institute of Technology, Pasadena, California, USA

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

  17. University of Toronto · Canadian Institute for Theoretical Astrophysics

    Affiliation as printed

    CITA, University of Toronto, 60 St. George St., Toronto, ON M5S 3H8, Canada

  18. Lawrence Berkeley National Laboratory · Space Sciences Laboratory · University of California, Berkeley

    Affiliation as printed

    Computational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Space Sciences Laboratory, University of California, Berkeley, CA, USA

  19. Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université

    Affiliation as printed

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, UMR7095, Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

  20. Université Paris-Sud · Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Université Paris-Saclay · Observatoire de Paris · Institut d'Astrophysique de Paris · Sorbonne Université · Institut d'Astrophysique Spatiale · Laboratoire d’Etudes du Rayonnement et de la Matière en Astrophysique et Atmosphères

    Affiliation as printed

    Institut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, France

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, France

  21. Centre National de la Recherche Scientifique · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Observatoire de Paris · Laboratoire AstroParticule et Cosmologie · Sorbonne Paris Cité · Institut National de Physique Nucléaire et de Physique des Particules · Université Paris Diderot · University of KwaZulu-Natal

    Affiliation as printed

    APC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France

    Astrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa

  22. University of Ferrara · Istituto di Radioastronomia di Bologna · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna

    Affiliation as printed

    Dipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy

    INAF, Istituto di Radioastronomia, Via Piero Gobetti 101, 40129 Bologna, Italy

    INFN, Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy

  23. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

  24. Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université

    Affiliation as printed

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, UMR7095, Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

  25. University of Sussex

    Affiliation as printed

    Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK

  26. University of Cambridge

    Affiliation as printed

    Centre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK

    Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  27. Princeton University · University of KwaZulu-Natal

    Affiliation as printed

    Astrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa

    Department of Physics, Princeton University, Princeton, NJ, USA

  28. University of Manchester

    Affiliation as printed

    Jodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UK

  29. University of Milan

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria, 16, Milano, Italy

  30. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Laboratoire de Physique Subatomique et de Cosmologie · Université Grenoble Alpes

    Affiliation as printed

    Laboratoire de Physique Subatomique et Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, 53 rue des Martyrs, 38026 Grenoble Cedex, France

  31. University of British Columbia

    Affiliation as printed

    Department of Physics & Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, Canada

  32. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

    California Institute of Technology, Pasadena, California, USA

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

  33. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

  34. Sapienza University of Rome

    Affiliation as printed

    Dipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, Roma, Italy

  35. Osservatorio Astronomico di Padova · National Institute for Astrophysics

    Affiliation as printed

    INAF – Osservatorio Astronomico di Padova, Vicolo dell'Osservatorio 5, Padova, Italy

  36. Centre National de la Recherche Scientifique · Ifremer · Laboratory for Ocean Physics and Satellite Remote Sensing · Institut de Recherche pour le Développement

    Affiliation as printed

    Laboratoire d'Océanographie Physique et Spatiale (LOPS), Univ. Brest, CNRS, Ifremer, IRD, Brest, France

  37. University of Manchester

    Affiliation as printed

    Jodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UK

  38. Universidad de Cantabria · Instituto de Física de Cantabria

    Affiliation as printed

    Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, Spain

  39. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

    California Institute of Technology, Pasadena, California, USA

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

  40. Université Paris-Sud · Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    Institut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, France

  41. Kavli Institute for the Physics and Mathematics of the Universe · The University of Tokyo

    Affiliation as printed

    Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo, Chiba 277- 8583, Japan

  42. European Space Agency · European Space Astronomy Centre

    Affiliation as printed

    European Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, Madrid, Spain

  43. Istituto Nazionale di Fisica Nucleare, Sezione di Padova

    Affiliation as printed

    Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy

  44. University of Cambridge

    Affiliation as printed

    Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  45. Max Planck Institute for Astrophysics

    Affiliation as printed

    Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, Germany

  46. Max Planck Institute for Astrophysics

    Affiliation as printed

    Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, Germany

  47. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, Norway

  48. African Institute for Mathematical Sciences · Stellenbosch University

    Affiliation as printed

    African Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South Africa

    Department of Mathematics, University of Stellenbosch, Stellenbosch 7602, South Africa

  49. Shahid Beheshti University

    Affiliation as printed

    Physics Department, Shahid Beheshti University, Velenjak, Tehran 19839, Iran

  50. University of Cambridge

    Affiliation as printed

    Centre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK

  51. Universidad de Cantabria · Instituto de Física de Cantabria

    Affiliation as printed

    Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, Spain

  52. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

    INFN, Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy

  53. University of Ferrara · Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara

    Affiliation as printed

    Dipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy

    INFN, Sezione di Ferrara, Via Saragat 1, 44122 Ferrara, Italy

  54. Trieste Astronomical Observatory

    Affiliation as printed

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

  55. Princeton University

    Affiliation as printed

    Department of Physics, Princeton University, Princeton, NJ, USA

  56. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

  57. Trieste Astronomical Observatory

    Affiliation as printed

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

  58. Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université

    Affiliation as printed

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, UMR7095, Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

  59. Centre National de la Recherche Scientifique · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Observatoire de Paris · Laboratoire AstroParticule et Cosmologie · Sorbonne Paris Cité · Institut National de Physique Nucléaire et de Physique des Particules · Université Paris Diderot

    Affiliation as printed

    APC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France

  60. Universidad de La Laguna · Instituto de Astrofísica de Canarias

    Affiliation as printed

    Departamento de Astrofísica, Universidad de La Laguna (ULL), 38206 La Laguna, Tenerife, Spain

    Instituto de Astrofísica de Canarias, C/Vía Láctea s/n, La Laguna, Tenerife, Spain

  61. Argonne National Laboratory

    Affiliation as printed

    HEP Division, Argonne National Laboratory, Lemont, IL 60439, USA

  62. California Institute of Technology · National Institute of Science Education and Research

    Affiliation as printed

    Cahill Center for Astronomy and Astrophysics, California Institute of Technology, Pasadena, CA 91125, USA

    School of Physical Sciences, National Institute of Science Education and Research, HBNI, Jatni, 752050 Odissa, India

  63. Universidad de Oviedo

    Affiliation as printed

    Departamento de Física, Universidad de Oviedo, C/ Federico García Lorca, 18, Oviedo, Spain

  64. California Institute of Technology · Jet Propulsion Laboratory · University of Warsaw

    Affiliation as printed

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

    Warsaw University Observatory, Aleje Ujazdowskie 4, 00-478 Warszawa, Poland

  65. University of Cambridge

    Affiliation as printed

    Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  66. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF – OAS Bologna, Istituto Nazionale di Astrofisica – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Area della Ricerca del CNR, Via Gobetti 101, 40129 Bologna, Italy

    INFN, Sezione di Bologna, viale Berti Pichat 6/2, 40127 Bologna, Italy

  67. Stockholm University · Princeton University · AlbaNova

    Affiliation as printed

    Department of Physics, Princeton University, Princeton, NJ, USA

    The Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University, AlbaNova 106 91, Stockholm, Sweden

  68. UNSW Sydney

    Affiliation as printed

    School of Physics, The University of New South Wales, Sydney, NSW 2052, Australia

  69. University of Cambridge

    Affiliation as printed

    Astrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge, CB3 0HE, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  70. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, Norway

  71. Universidad de Cantabria · Instituto de Física de Cantabria

    Affiliation as printed

    Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, Spain

  72. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

    California Institute of Technology, Pasadena, California, USA

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

  73. Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université

    Affiliation as printed

    Institut d'Astrophysique de Paris, CNRS (UMR7095), 98bis boulevard Arago, 75014 Paris, France

    Sorbonne Université, UMR7095, Institut d'Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

  74. Sun Yat-sen University

    Affiliation as printed

    School of Physics and Astronomy, Sun Yat-sen University, 2 Daxue Rd, Tangjia, Zhuhai, PR China

  75. Imperial College London

    Affiliation as printed

    Imperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London SW7 2AZ, UK

  76. Princeton University

    Affiliation as printed

    Department of Physics, Princeton University, Princeton, NJ, USA

  77. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, Norway

  78. University of Helsinki

    Affiliation as printed

    Department of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, Finland

  79. Lawrence Berkeley National Laboratory

    Affiliation as printed

    Computational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, CA, USA

  80. University of Helsinki · Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, Finland

    Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland

  81. Max Planck Institute for Astrophysics

    Affiliation as printed

    Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, Germany

  82. Lawrence Berkeley National Laboratory

    Affiliation as printed

    Lawrence Berkeley National Laboratory, Berkeley, CA, USA

  83. University of California, Davis

    Affiliation as printed

    Department of Physics, University of California, One Shields Avenue, Davis, CA, USA

  84. Scuola Internazionale Superiore di Studi Avanzati

    Affiliation as printed

    SISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, Italy

  85. Université Paris-Sud · University of Geneva · Centre National de la Recherche Scientifique · African Institute for Mathematical Sciences · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    African Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South Africa

    Département de Physique Théorique, Université de Genève, 24 quai E. Ansermet, 1211 Genève 4, Switzerland

    Institut d'Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay Cedex, France

  86. University of Helsinki · Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, Finland

    Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland

  87. Centre National de la Recherche Scientifique · Aix-Marseille Université

    Affiliation as printed

    Aix Marseille Univ, CNRS, CNES, LAM, Marseille, France

  88. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’Etudes du Rayonnement et de la Matière en Astrophysique et Atmosphères

    Affiliation as printed

    Sorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, France

  89. University of Cambridge

    Affiliation as printed

    Astrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge, CB3 0HE, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  90. University of Ferrara · Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara

    Affiliation as printed

    Dipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy

    INFN, Sezione di Ferrara, Via Saragat 1, 44122 Ferrara, Italy

  91. California Institute of Technology · Jet Propulsion Laboratory

    Affiliation as printed

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

  92. Centre National de la Recherche Scientifique · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Observatoire de Paris · Laboratoire AstroParticule et Cosmologie · Sorbonne Paris Cité · Institut National de Physique Nucléaire et de Physique des Particules · Université Paris Diderot

    Affiliation as printed

    APC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France

  93. University of Cambridge

    Affiliation as printed

    Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK

    Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK

  94. Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d’Etudes du Rayonnement et de la Matière en Astrophysique et Atmosphères

    Affiliation as printed

    Sorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, France

  95. University of Sussex

    Affiliation as printed

    Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK

  96. University of Padua · Istituto Nazionale di Fisica Nucleare, Sezione di Padova

    Affiliation as printed

    Dipartimento di Fisica e Astronomia G. Galilei, Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy

    Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy

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