Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)

N. Aghanim; Y. Akrami; M. Ashdown; J. Aumont; C. Baccigalupi; M. Ballardini; A. J. Banday; R. B. Barreiro; N. Bartolo; S. Basak; R. Battye; K. Benabed; J. P. Bernard; M. Bersanelli; P. Bielewicz; J. J. Bock; J. R. Bond; J. Borrill; F. R. Bouchet; F. Boulanger; M. Bucher; C. Burigana; R. C. Butler; E. Calabrese; J. F. Cardoso; J. Carron; A. Challinor; H. C. Chiang; J. Chluba; L. P.L. Colombo; C. Combet; D. Contreras; B. P. Crill; F. Cuttaia; P. De Bernardis; G. De Zotti; J. Delabrouille; J. M. Delouis; E. DI Valentino; J. M. DIego; O. Doré; M. Douspis; A. Ducout; X. Dupac; S. Dusini; G. Efstathiou; F. Elsner; T. A. Enßlin; H. K. Eriksen; Y. Fantaye; M. Farhang; J. Fergusson; R. Fernandez-Cobos; F. Finelli; F. Forastieri; M. Frailis; A. A. Fraisse; E. Franceschi; A. Frolov; S. Galeotta; S. Galli; K. Ganga; R. T. Génova-Santos; M. Gerbino; T. Ghosh; J. González-Nuevo; K. M. Górski; S. Gratton; A. Gruppuso; J. E. Gudmundsson; J. Hamann; W. Handley; F. K. Hansen; D. Herranz; S. R. Hildebrandt; E. Hivon; Z. Huang; A. H. Jaffe; W. C. Jones; A. Karakci; E. Keihänen; R. Keskitalo; K. Kiiveri; J. Kim; T. S. Kisner; L. Knox; N. Krachmalnicoff; M. Kunz; H. Kurki-Suonio; G. Lagache; J. M. Lamarre; A. Lasenby; M. Lattanzi; C. R. Lawrence; M. Le Jeune; P. Lemos; J. Lesgourgues; F. Levrier; A. Lewis; M. Liguori; P. B. Lilje; M. Lilley; V. Lindholm; M. López-Caniego; P. M. Lubin; Y. Z. Ma; J. F. MacÍas-Pérez; G. Maggio; D. Maino; N. Mandolesi; A. Mangilli; A. Marcos-Caballero; M. Maris; P. G. Martin; M. Martinelli; E. Martínez-González; S. Matarrese; N. Mauri; J. D. McEwen; P. R. Meinhold; A. Melchiorri; A. Mennella; M. Migliaccio; M. Millea; S. Mitra; M. A. Miville-Deschênes; D. Molinari; L. Montier; G. Morgante; A. Moss; P. Natoli; H. U. Nørgaard-Nielsen; L. Pagano; D. Paoletti; B. Partridge; G. Patanchon; H. V. Peiris; F. Perrotta; V. Pettorino; F. Piacentini; L. Polastri; G. Polenta; J. L. Puget; J. P. Rachen; M. Reinecke; M. Remazeilles; A. Renzi; G. Rocha; C. Rosset; G. Roudier; J. A. Rubiño-Martín; B. Ruiz-Granados; L. Salvati; M. Sandri; M. Savelainen; D. Scott; E. P.S. Shellard; C. Sirignano; G. Sirri; L. D. Spencer; R. Sunyaev; A. S. Suur-Uski; J. A. Tauber; D. Tavagnacco; M. Tenti; L. Toffolatti; M. Tomasi; T. Trombetti; L. Valenziano; J. Valiviita; B. Van Tent; L. Vibert; P. Vielva; F. Villa; N. Vittorio; B. D. Wandelt; I. K. Wehus; M. White; S. D.M. White; A. Zacchei; A. Zonca

doi:10.1051/0004-6361/201833910e

Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)

N. Aghanim, Y. Akrami, M. Ashdown, J. Aumont, C. Baccigalupi, M. Ballardini, A. J. Banday, R. B. Barreiro, N. Bartolo, S. Basak, R. Battye, K. Benabed, J. P. Bernard, M. Bersanelli, P. Bielewicz, J. J. Bock, J. R. Bond, J. Borrill, F. R. Bouchet, F. BoulangerM. Bucher, C. Burigana, R. C. Butler, E. Calabrese, J. F. Cardoso, J. Carron, A. Challinor, H. C. Chiang, J. Chluba, L. P.L. Colombo, C. Combet, D. Contreras, B. P. Crill, F. Cuttaia, P. De Bernardis, G. De Zotti, J. Delabrouille, J. M. Delouis, E. DI Valentino, J. M. DIego, O. Doré, M. Douspis, A. Ducout, X. Dupac, S. Dusini, G. Efstathiou, F. Elsner, T. A. Enßlin, H. K. Eriksen, Y. Fantaye, M. Farhang, J. Fergusson, R. Fernandez-Cobos, F. Finelli, F. Forastieri, M. Frailis, A. A. Fraisse, E. Franceschi, A. Frolov, S. Galeotta, S. Galli, K. Ganga, R. T. Génova-Santos, M. Gerbino, T. Ghosh, J. González-Nuevo, K. M. Górski, S. Gratton, A. Gruppuso, J. E. Gudmundsson, J. Hamann, W. Handley, F. K. Hansen, D. Herranz, S. R. Hildebrandt, E. Hivon, Z. Huang, A. H. Jaffe, W. C. Jones, A. Karakci, E. Keihänen, R. Keskitalo, K. Kiiveri, J. Kim, T. S. Kisner, L. Knox, N. Krachmalnicoff, M. Kunz, H. Kurki-Suonio, G. Lagache, J. M. Lamarre, A. Lasenby, M. Lattanzi, C. R. Lawrence, M. Le Jeune, P. Lemos, J. Lesgourgues, F. Levrier, A. Lewis, M. Liguori, P. B. Lilje, M. Lilley, V. Lindholm, M. López-Caniego, P. M. Lubin, Y. Z. Ma, J. F. MacÍas-Pérez, G. Maggio, D. Maino, N. Mandolesi, A. Mangilli, A. Marcos-Caballero, M. Maris, P. G. Martin, M. Martinelli, E. Martínez-González, S. Matarrese, N. Mauri, J. D. McEwen, P. R. Meinhold, A. Melchiorri, A. Mennella, M. Migliaccio, M. Millea, S. Mitra, M. A. Miville-Deschênes, D. Molinari, L. Montier, G. Morgante, A. Moss, P. Natoli, H. U. Nørgaard-Nielsen, L. Pagano, D. Paoletti, B. Partridge, G. Patanchon, H. V. Peiris, F. Perrotta, V. Pettorino, F. Piacentini, L. Polastri, G. Polenta, J. L. Puget, J. P. Rachen, M. Reinecke, M. Remazeilles, A. Renzi, G. Rocha, C. Rosset, G. Roudier, J. A. Rubiño-Martín, B. Ruiz-Granados, L. Salvati, M. Sandri, M. Savelainen, D. Scott, E. P.S. Shellard, C. Sirignano, G. Sirri, L. D. Spencer, R. Sunyaev, A. S. Suur-Uski, J. A. Tauber, D. Tavagnacco, M. Tenti, L. Toffolatti, M. Tomasi, T. Trombetti, L. Valenziano, J. Valiviita, B. Van Tent, L. Vibert, P. Vielva, F. Villa, N. Vittorio, B. D. Wandelt, I. K. Wehus, M. White, S. D.M. White, A. Zacchei, A. Zonca

Faculty of Physical Sciences

Research output: Contribution to journal › Comment/debate

212 Citations (Scopus)

Abstract

In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, (15,30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are: τ(15,30) < 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) < 0:023 (lowE, flat knot, FlexKnot): (2) 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.

Original language	English
Article number	C4
Journal	Astronomy and Astrophysics
Volume	652
DOIs	https://doi.org/10.1051/0004-6361/201833910e
Publication status	Published - 1 Aug 2021

Bibliographical note

Publisher Copyright:
© ESO 2021.

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10.1051/0004-6361/201833910e

Cite this

Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Battye, R., Benabed, K., Bernard, J. P., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., ... Zonca, A. (2021). Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910). Astronomy and Astrophysics, 652, [C4]. https://doi.org/10.1051/0004-6361/201833910e

@article{7fb7b25dd0b24c219d3dfce225d8aaad,

title = "Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)",

abstract = "In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, (15,30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are: τ(15,30) < 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) < 0:023 (lowE, flat knot, FlexKnot): (2) 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.",

author = "N. Aghanim and Y. Akrami and M. Ashdown and J. Aumont and C. Baccigalupi and M. Ballardini and Banday, {A. J.} and Barreiro, {R. B.} and N. Bartolo and S. Basak and R. Battye and K. Benabed and Bernard, {J. P.} and M. Bersanelli and P. Bielewicz and Bock, {J. J.} and Bond, {J. R.} and J. Borrill and Bouchet, {F. R.} and F. Boulanger and M. Bucher and C. Burigana and Butler, {R. C.} and E. Calabrese and Cardoso, {J. F.} and J. Carron and A. Challinor and Chiang, {H. C.} and J. Chluba and Colombo, {L. P.L.} and C. Combet and D. Contreras and Crill, {B. P.} and F. Cuttaia and {De Bernardis}, P. and {De Zotti}, G. and J. Delabrouille and Delouis, {J. M.} and {DI Valentino}, E. and DIego, {J. M.} and O. Dor{\'e} and M. Douspis and A. Ducout and X. Dupac and S. Dusini and G. Efstathiou and F. Elsner and En{\ss}lin, {T. A.} and Eriksen, {H. K.} and Y. Fantaye and M. Farhang and J. Fergusson and R. Fernandez-Cobos and F. Finelli and F. Forastieri and M. Frailis and Fraisse, {A. A.} and E. Franceschi and A. Frolov and S. Galeotta and S. Galli and K. Ganga and G{\'e}nova-Santos, {R. T.} and M. Gerbino and T. Ghosh and J. Gonz{\'a}lez-Nuevo and G{\'o}rski, {K. M.} and S. Gratton and A. Gruppuso and Gudmundsson, {J. E.} and J. Hamann and W. Handley and Hansen, {F. K.} and D. Herranz and Hildebrandt, {S. R.} and E. Hivon and Z. Huang and Jaffe, {A. H.} and Jones, {W. C.} and A. Karakci and E. Keih{\"a}nen and R. Keskitalo and K. Kiiveri and J. Kim and Kisner, {T. S.} and L. Knox and N. Krachmalnicoff and M. Kunz and H. Kurki-Suonio and G. Lagache and Lamarre, {J. M.} and A. Lasenby and M. Lattanzi and Lawrence, {C. R.} and {Le Jeune}, M. and P. Lemos and J. Lesgourgues and F. Levrier and A. Lewis and M. Liguori and Lilje, {P. B.} and M. Lilley and V. Lindholm and M. L{\'o}pez-Caniego and Lubin, {P. M.} and Ma, {Y. Z.} and Mac{\'I}as-P{\'e}rez, {J. F.} and G. Maggio and D. Maino and N. Mandolesi and A. Mangilli and A. Marcos-Caballero and M. Maris and Martin, {P. G.} and M. Martinelli and E. Mart{\'i}nez-Gonz{\'a}lez and S. Matarrese and N. Mauri and McEwen, {J. D.} and Meinhold, {P. R.} and A. Melchiorri and A. Mennella and M. Migliaccio and M. Millea and S. Mitra and Miville-Desch{\^e}nes, {M. A.} and D. Molinari and L. Montier and G. Morgante and A. Moss and P. Natoli and N{\o}rgaard-Nielsen, {H. U.} and L. Pagano and D. Paoletti and B. Partridge and G. Patanchon and Peiris, {H. V.} and F. Perrotta and V. Pettorino and F. Piacentini and L. Polastri and G. Polenta and Puget, {J. L.} and Rachen, {J. P.} and M. Reinecke and M. Remazeilles and A. Renzi and G. Rocha and C. Rosset and G. Roudier and Rubi{\~n}o-Mart{\'i}n, {J. A.} and B. Ruiz-Granados and L. Salvati and M. Sandri and M. Savelainen and D. Scott and Shellard, {E. P.S.} and C. Sirignano and G. Sirri and Spencer, {L. D.} and R. Sunyaev and Suur-Uski, {A. S.} and Tauber, {J. A.} and D. Tavagnacco and M. Tenti and L. Toffolatti and M. Tomasi and T. Trombetti and L. Valenziano and J. Valiviita and {Van Tent}, B. and L. Vibert and P. Vielva and F. Villa and N. Vittorio and Wandelt, {B. D.} and Wehus, {I. K.} and M. White and White, {S. D.M.} and A. Zacchei and A. Zonca",

note = "Publisher Copyright: {\textcopyright} ESO 2021.",

year = "2021",

month = aug,

day = "1",

doi = "10.1051/0004-6361/201833910e",

language = "English",

volume = "652",

journal = "Astronomy and Astrophysics",

issn = "0004-6361",

publisher = "EDP Sciences",

}

Aghanim, N, Akrami, Y, Ashdown, M, Aumont, J, Baccigalupi, C, Ballardini, M, Banday, AJ, Barreiro, RB, Bartolo, N, Basak, S, Battye, R, Benabed, K, Bernard, JP, Bersanelli, M, Bielewicz, P, Bock, JJ, Bond, JR, Borrill, J, Bouchet, FR, Boulanger, F, Bucher, M, Burigana, C, Butler, RC, Calabrese, E, Cardoso, JF, Carron, J, Challinor, A, Chiang, HC, Chluba, J, Colombo, LPL, Combet, C, Contreras, D, Crill, BP, Cuttaia, F, De Bernardis, P, De Zotti, G, Delabrouille, J, Delouis, JM, DI Valentino, E, DIego, JM, Doré, O, Douspis, M, Ducout, A, Dupac, X, Dusini, S, Efstathiou, G, Elsner, F, Enßlin, TA, Eriksen, HK, Fantaye, Y, Farhang, M, Fergusson, J, Fernandez-Cobos, R, Finelli, F, Forastieri, F, Frailis, M, Fraisse, AA, Franceschi, E, Frolov, A, Galeotta, S, Galli, S, Ganga, K, Génova-Santos, RT, Gerbino, M, Ghosh, T, González-Nuevo, J, Górski, KM, Gratton, S, Gruppuso, A, Gudmundsson, JE, Hamann, J, Handley, W, Hansen, FK, Herranz, D, Hildebrandt, SR, Hivon, E, Huang, Z, Jaffe, AH, Jones, WC, Karakci, A, Keihänen, E, Keskitalo, R, Kiiveri, K, Kim, J, Kisner, TS, Knox, L, Krachmalnicoff, N, Kunz, M, Kurki-Suonio, H, Lagache, G, Lamarre, JM, Lasenby, A, Lattanzi, M, Lawrence, CR, Le Jeune, M, Lemos, P, Lesgourgues, J, Levrier, F, Lewis, A, Liguori, M, Lilje, PB, Lilley, M, Lindholm, V, López-Caniego, M, Lubin, PM, Ma, YZ, MacÍas-Pérez, JF, Maggio, G, Maino, D, Mandolesi, N, Mangilli, A, Marcos-Caballero, A, Maris, M, Martin, PG, Martinelli, M, Martínez-González, E, Matarrese, S, Mauri, N, McEwen, JD, Meinhold, PR, Melchiorri, A, Mennella, A, Migliaccio, M, Millea, M, Mitra, S, Miville-Deschênes, MA, Molinari, D, Montier, L, Morgante, G, Moss, A, Natoli, P, Nørgaard-Nielsen, HU, Pagano, L, Paoletti, D, Partridge, B, Patanchon, G, Peiris, HV, Perrotta, F, Pettorino, V, Piacentini, F, Polastri, L, Polenta, G, Puget, JL, Rachen, JP, Reinecke, M, Remazeilles, M, Renzi, A, Rocha, G, Rosset, C, Roudier, G, Rubiño-Martín, JA, Ruiz-Granados, B, Salvati, L, Sandri, M, Savelainen, M, Scott, D, Shellard, EPS, Sirignano, C, Sirri, G, Spencer, LD, Sunyaev, R, Suur-Uski, AS, Tauber, JA, Tavagnacco, D, Tenti, M, Toffolatti, L, Tomasi, M, Trombetti, T, Valenziano, L, Valiviita, J, Van Tent, B, Vibert, L, Vielva, P, Villa, F, Vittorio, N, Wandelt, BD, Wehus, IK, White, M, White, SDM, Zacchei, A & Zonca, A 2021, 'Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)', Astronomy and Astrophysics, vol. 652, C4. https://doi.org/10.1051/0004-6361/201833910e

TY - JOUR

T1 - Erratum

T2 - Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)

AU - Aghanim, N.

AU - Akrami, Y.

AU - Ashdown, M.

AU - Aumont, J.

AU - Baccigalupi, C.

AU - Ballardini, M.

AU - Banday, A. J.

AU - Barreiro, R. B.

AU - Bartolo, N.

AU - Basak, S.

AU - Battye, R.

AU - Benabed, K.

AU - Bernard, J. P.

AU - Bersanelli, M.

AU - Bielewicz, P.

AU - Bock, J. J.

AU - Bond, J. R.

AU - Borrill, J.

AU - Bouchet, F. R.

AU - Boulanger, F.

AU - Bucher, M.

AU - Burigana, C.

AU - Butler, R. C.

AU - Calabrese, E.

AU - Cardoso, J. F.

AU - Carron, J.

AU - Challinor, A.

AU - Chiang, H. C.

AU - Chluba, J.

AU - Colombo, L. P.L.

AU - Combet, C.

AU - Contreras, D.

AU - Crill, B. P.

AU - Cuttaia, F.

AU - De Bernardis, P.

AU - De Zotti, G.

AU - Delabrouille, J.

AU - Delouis, J. M.

AU - DI Valentino, E.

AU - DIego, J. M.

AU - Doré, O.

AU - Douspis, M.

AU - Ducout, A.

AU - Dupac, X.

AU - Dusini, S.

AU - Efstathiou, G.

AU - Elsner, F.

AU - Enßlin, T. A.

AU - Eriksen, H. K.

AU - Fantaye, Y.

AU - Farhang, M.

AU - Fergusson, J.

AU - Fernandez-Cobos, R.

AU - Finelli, F.

AU - Forastieri, F.

AU - Frailis, M.

AU - Fraisse, A. A.

AU - Franceschi, E.

AU - Frolov, A.

AU - Galeotta, S.

AU - Galli, S.

AU - Ganga, K.

AU - Génova-Santos, R. T.

AU - Gerbino, M.

AU - Ghosh, T.

AU - González-Nuevo, J.

AU - Górski, K. M.

AU - Gratton, S.

AU - Gruppuso, A.

AU - Gudmundsson, J. E.

AU - Hamann, J.

AU - Handley, W.

AU - Hansen, F. K.

AU - Herranz, D.

AU - Hildebrandt, S. R.

AU - Hivon, E.

AU - Huang, Z.

AU - Jaffe, A. H.

AU - Jones, W. C.

AU - Karakci, A.

AU - Keihänen, E.

AU - Keskitalo, R.

AU - Kiiveri, K.

AU - Kim, J.

AU - Kisner, T. S.

AU - Knox, L.

AU - Krachmalnicoff, N.

AU - Kunz, M.

AU - Kurki-Suonio, H.

AU - Lagache, G.

AU - Lamarre, J. M.

AU - Lasenby, A.

AU - Lattanzi, M.

AU - Lawrence, C. R.

AU - Le Jeune, M.

AU - Lemos, P.

AU - Lesgourgues, J.

AU - Levrier, F.

AU - Lewis, A.

AU - Liguori, M.

AU - Lilje, P. B.

AU - Lilley, M.

AU - Lindholm, V.

AU - López-Caniego, M.

AU - Lubin, P. M.

AU - Ma, Y. Z.

AU - MacÍas-Pérez, J. F.

AU - Maggio, G.

AU - Maino, D.

AU - Mandolesi, N.

AU - Mangilli, A.

AU - Marcos-Caballero, A.

AU - Maris, M.

AU - Martin, P. G.

AU - Martinelli, M.

AU - Martínez-González, E.

AU - Matarrese, S.

AU - Mauri, N.

AU - McEwen, J. D.

AU - Meinhold, P. R.

AU - Melchiorri, A.

AU - Mennella, A.

AU - Migliaccio, M.

AU - Millea, M.

AU - Mitra, S.

AU - Miville-Deschênes, M. A.

AU - Molinari, D.

AU - Montier, L.

AU - Morgante, G.

AU - Moss, A.

AU - Natoli, P.

AU - Nørgaard-Nielsen, H. U.

AU - Pagano, L.

AU - Paoletti, D.

AU - Partridge, B.

AU - Patanchon, G.

AU - Peiris, H. V.

AU - Perrotta, F.

AU - Pettorino, V.

AU - Piacentini, F.

AU - Polastri, L.

AU - Polenta, G.

AU - Puget, J. L.

AU - Rachen, J. P.

AU - Reinecke, M.

AU - Remazeilles, M.

AU - Renzi, A.

AU - Rocha, G.

AU - Rosset, C.

AU - Roudier, G.

AU - Rubiño-Martín, J. A.

AU - Ruiz-Granados, B.

AU - Salvati, L.

AU - Sandri, M.

AU - Savelainen, M.

AU - Scott, D.

AU - Shellard, E. P.S.

AU - Sirignano, C.

AU - Sirri, G.

AU - Spencer, L. D.

AU - Sunyaev, R.

AU - Suur-Uski, A. S.

AU - Tauber, J. A.

AU - Tavagnacco, D.

AU - Tenti, M.

AU - Toffolatti, L.

AU - Tomasi, M.

AU - Trombetti, T.

AU - Valenziano, L.

AU - Valiviita, J.

AU - Van Tent, B.

AU - Vibert, L.

AU - Vielva, P.

AU - Villa, F.

AU - Vittorio, N.

AU - Wandelt, B. D.

AU - Wehus, I. K.

AU - White, M.

AU - White, S. D.M.

AU - Zacchei, A.

AU - Zonca, A.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, (15,30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are: τ(15,30) < 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) < 0:023 (lowE, flat knot, FlexKnot): (2) 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.

AB - In the original version, the bounds given in Eqs. (87a) and (87b) on the contribution to the early-time optical depth, (15,30), contained a numerical error in deriving the 95th percentile from the Monte Carlo samples. The corrected 95% upper bounds are: τ(15,30) < 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) < 0:023 (lowE, flat knot, FlexKnot): (2) 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.

UR - http://www.scopus.com/inward/record.url?scp=85113198551&partnerID=8YFLogxK

U2 - 10.1051/0004-6361/201833910e

DO - 10.1051/0004-6361/201833910e

M3 - Comment/debate

AN - SCOPUS:85113198551

SN - 0004-6361

VL - 652

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

M1 - C4

ER -

Erratum: Planck 2018 results: VI. Cosmological parameters (Astronomy and Astrophysics (2020) 641 (A6) DOI: 10.1051/0004-6361/201833910)

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