| Issue |
A&A
Volume 652, August 2021
Planck 2018 results
|
|
|---|---|---|
| Article Number | C4 | |
| Number of page(s) | 3 | |
| Section | Cosmology (including clusters of galaxies) | |
| DOI | https://doi.org/10.1051/0004-6361/201833910e | |
| Published online | 06 August 2021 | |
Planck 2018 results
VI. Cosmological parameters (Corrigendum)
1
AIM, CEA, CNRS, Université Paris-Saclay, Université Paris-Diderot, Sorbonne Paris Cité, 91191 Gif-sur-Yvette, France
2
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
3
African Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South Africa
4
Aix Marseille Univ, CNRS, CNES, LAM, Marseille, France
5
Astrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UK
6
Astrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa
7
CITA, University of Toronto, 60 St. George St., Toronto, ON M5S 3H8, Canada
8
CNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse cedex 4, France
9
Cahill Center for Astronomy and Astrophysics, California Institute of Technology, Pasadena, CA 91125, USA
10
California Institute of Technology, Pasadena, CA, USA
11
Centre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
12
Computational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, CA, USA
13
DTU Space, National Space Institute, Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, Denmark
14
Département de Physique Théorique, Université de Genève, 24, Quai E. Ansermet, 1211 Genève 4, Switzerland
15
Département de Physique, École normale supérieure, PSL Research University, CNRS, 24 rue Lhomond, 75005 Paris, France
16
Departamento de Astrofísica, Universidad de La Laguna (ULL), 38206 La Laguna, Tenerife, Spain
17
Departamento de Física, Universidad de Oviedo, C/ Federico García Lorca, 18, Oviedo, Spain
18
Department of Astrophysics/IMAPP, Radboud University, PO Box 9010, 6500 GL Nijmegen, The Netherlands
19
Department of Mathematics, University of Stellenbosch, Stellenbosch 7602, South Africa
20
Department of Physics & Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, Canada
21
Department of Physics & Astronomy, University of the Western Cape, Cape Town 7535, South Africa
22
Department of Physics and Astronomy, University College London, London WC1E 6BT, UK
23
Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UK
24
Department of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, Finland
25
Department of Physics, Princeton University, Princeton, NJ, USA
26
Department of Physics, University of California, Berkeley, CA, USA
27
Department of Physics, University of California, One Shields Avenue, Davis, CA, USA
28
Department of Physics, University of California, Santa Barbara, CA, USA
29
Dipartimento di Fisica e Astronomia G. Galilei, Università degli Studi di Padova, Via Marzolo 8, 35131 Padova, Italy
30
Dipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italy
31
Dipartimento di Fisica, Università La Sapienza, P. le A. Moro 2, Roma, Italy
32
Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria, 16, Milano, Italy
33
Dipartimento di Fisica, Università degli Studi di Trieste, Via A. Valerio 2, Trieste, Italy
34
Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, Roma, Italy
35
European Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, Madrid, Spain
36
European Space Agency, ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands
37
Gran Sasso Science Institute, INFN, Viale F. Crispi 7, 67100 L’Aquila, Italy
38
HEP Division, Argonne National Laboratory, Lemont, IL 60439, USA
39
Haverford College Astronomy Department, 370 Lancaster Avenue, Haverford, PA, USA
40
Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland
41
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
42
INAF – Osservatorio Astronomico di Padova, Vicolo dell’Osservatorio 5, Padova, Italy
43
INAF – Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, Trieste, Italy
44
INAF, Istituto di Radioastronomia, Via Piero Gobetti 101, 40129 Bologna, Italy
45
INAF/IASF Milano, Via E. Bassini 15, Milano, Italy
46
INFN – CNAF, Viale Berti Pichat 6/2, 40127 Bologna, Italy
47
INFN, Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
48
INFN, Sezione di Ferrara, Via Saragat 1, 44122 Ferrara, Italy
49
INFN, Sezione di Milano, Via Celoria 16, Milano, Italy
50
INFN, Sezione di Roma 1, Università di Roma Sapienza, Piazzale Aldo Moro 2, 00185 Roma, Italy
51
INFN, Sezione di Roma 2, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, Roma, Italy
52
IUCAA, Post Bag 4, Ganeshkhind, Pune University Campus, Pune 411 007, India
53
Imperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London SW7 2AZ, UK
54
Institut d’Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay cedex, France
55
Institut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, France
56
Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, 52056 Aachen, Germany
57
Institute Lorentz, Leiden University, PO Box 9506 Leiden 2300 RA, The Netherlands
58
Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UK
59
Institute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, Norway
60
Instituto de Astrofísica de Canarias, C/Vía Láctea s/n, La Laguna, Tenerife, Spain
61
Instituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, Spain
62
Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via Marzolo 8, 35131 Padova, Italy
63
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, USA
64
Jodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UK
65
Kavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UK
66
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo, Chiba 277- 8583, Japan
67
Laboratoire d’Océanographie Physique et Spatiale (LOPS), Univ. Brest, CNRS, Ifremer, IRD, Brest, France
68
Laboratoire de Physique Subatomique et Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, 53, rue des Martyrs, 38026 Grenoble Cedex, France
69
Laboratoire de Physique Théorique, Université Paris-Sud 11 & CNRS, Bâtiment 210, 91405 Orsay, France
70
Lawrence Berkeley National Laboratory, Berkeley, CA, USA
71
Low Temperature Laboratory, Department of Applied Physics, Aalto University, Espoo, 00076 AALTO, Finland
72
Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, Germany
73
Mullard Space Science Laboratory, University College London, Surrey RH5 6NT, UK
74
NAOC-UKZN Computational Astrophysics Centre (NUCAC), University of KwaZulu-Natal, Durban 4000, South Africa
75
National Centre for Nuclear Research, ul. L. Pasteura 7, 02-093 Warsaw, Poland
76
Physics Department, Shahid Beheshti University, Velenjak, Tehran 19839, Iran
77
Purple Mountain Observatory, No. 8 Yuan Hua Road, 210034 Nanjing, PR China
78
SISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, Italy
79
San Diego Supercomputer Center, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA
80
School of Chemistry and Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South Africa
81
School of Physical Sciences, National Institute of Science Education and Research, HBNI, Jatni, 752050 Odissa, India
82
School of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff CF24 3AA, UK
83
School of Physics and Astronomy, Sun Yat-sen University, 2 Daxue Rd, Tangjia, Zhuhai, PR China
84
School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK
85
School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala PO, Vithura, Thiruvananthapuram, 695551 Kerala, India
86
School of Physics, The University of New South Wales, Sydney, NSW 2052, Australia
87
Simon Fraser University, Department of Physics, 8888 University Drive, Burnaby, BC, Canada
88
Sorbonne Université, Institut Lagrange de Paris (ILP), 98 bis Boulevard Arago, 75014 Paris, France
89
Sorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, France
90
Sorbonne Université, UMR7095, Institut d’Astrophysique de Paris, 98 bis Boulevard Arago, 75014 Paris, France
91
Space Research Institute (IKI), Russian Academy of Sciences, Profsoyuznaya Str, 84/32, Moscow 117997, Russia
92
Space Science Data Center – Agenzia Spaziale Italiana, Via del Politecnico snc, 00133 Roma, Italy
93
Space Sciences Laboratory, University of California, Berkeley, CA, USA
94
The Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University, AlbaNova, 106 91 Stockholm, Sweden
95
Université de Toulouse, UPS-OMP, IRAP, 31028 Toulouse cedex 4, France
96
University of Heidelberg, Institute for Theoretical Physics, Philosophenweg 16, 69120 Heidelberg, Germany
97
Warsaw University Observatory, Aleje Ujazdowskie 4, 00-478 Warszawa, Poland
Key words: cosmic background radiation / cosmological parameters / errata, addenda
In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, τ(15, 30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are:
These bounds are a factor of ∼3 larger than the originally reported results. Consequently, the new bounds do not significantly improve upon previous results from Planck data presented in Millea & Bouchet (2018) as was stated, but are instead comparable. Equations (1) and (2) give results that are now similar to those of Heinrich & Hu (2021), who used the same Planck 2018 data to derive a 95 % upper bound of 0.020 using the principal component analysis (PCA) model and uniform priors on the PCA mode amplitudes.
Acknowledgments
We thank Xiaohan Wu for discussions which led to finding this error.
References
- Heinrich, C., & Hu, W. 2021, ArXiv e-prints [arXiv:2104.13998] [Google Scholar]
- Millea, M., & Bouchet, F. 2018, A&A, 617, A96 [CrossRef] [EDP Sciences] [Google Scholar]
© ESO 2021
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