<i>Planck</i> 2018 results
N. AghanimInstitut d’Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay cedex, FranceY. AkramiÉcole Normale Supérieure - PSLM. AshdownAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKJ. AumontUniversité de Toulouse, UPS-OMP, IRAP, 31028 Toulouse cedex 4, FranceC. BaccigalupiSISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, ItalyM. BallardiniDepartment of Physics & Astronomy, University of the Western Cape, Cape Town 7535, South AfricaA. J. BandayCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse cedex 4, FranceR. B. BarreiroInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainN. BartoloDipartimento di Fisica e Astronomia G. Galilei, Università degli Studi di Padova, Via Marzolo 8, 35131 Padova, ItalyS. BasakSchool of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Maruthamala PO, Vithura, Thiruvananthapuram, 695551 Kerala, IndiaRichard A. BattyeJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKK. BenabedInstitut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceJ.-P. BernardCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse cedex 4, FranceM. BersanelliDipartimento di Fisica, Università degli Studi di Milano, Via Celoria, 16, Milano, ItalyP. BielewiczNational Centre for Nuclear Research, ul. L. Pasteura 7, 02-093 Warsaw, PolandJ. J. BockCalifornia Institute of Technology, Pasadena, CA, USAJ. R. BondCITA, University of Toronto, 60 St. George St., Toronto, ON M5S 3H8, CanadaJ. BorrillComputational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, CA, USAF. R. BouchetInstitut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceF. BoulangerInstitut d’Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay cedex, FranceM. BucherAPC, 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, FranceC. BuriganaDipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, ItalyR. C. ButlerINAF – 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, ItalyE. CalabreseSchool of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff CF24 3AA, UKJ.-F. CardosoInstitut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceJulien CarronDepartment of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UKA. ChallinorCentre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UKH. C. ChiangAstrophysics & Cosmology Research Unit, School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, South AfricaJens ChlubaJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKL. P. L. ColomboDipartimento di Fisica, Università degli Studi di Milano, Via Celoria, 16, Milano, ItalyC. CombetLaboratoire de Physique Subatomique et Cosmologie, Université Grenoble-Alpes, CNRS/IN2P3, 53, rue des Martyrs, 38026 Grenoble Cedex, FranceD. ContrerasDepartment of Physics & Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, British Columbia, CanadaB. P. CrillCalifornia Institute of Technology, Pasadena, CA, USAF. CuttaiaINAF – 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, ItalyP. de BernardisDipartimento di Fisica, Università La Sapienza, P. le A. Moro 2, Roma, ItalyG. de ZottiINAF – Osservatorio Astronomico di Padova, Vicolo dell’Osservatorio 5, Padova, ItalyJ. DelabrouilleAPC, 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, FranceJ.‐M. DelouisLaboratoire d’Océanographie Physique et Spatiale (LOPS), Univ. Brest, CNRS, Ifremer, IRD, Brest, FranceEleonora Di ValentinoJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKJ. M. DiegoInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainO. DoréCalifornia Institute of Technology, Pasadena, CA, USAM. DouspisInstitut d’Astrophysique Spatiale, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Bât. 121, 91405 Orsay cedex, FranceA. DucoutKavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo, Chiba 277- 8583, JapanX. DupacEuropean Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, Madrid, SpainS. DusiniIstituto Nazionale di Fisica Nucleare, Sezione di Padova, Via Marzolo 8, 35131 Padova, ItalyG. EfstathiouInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKF. ElsnerMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyT. A. EnßlinMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyH. K. EriksenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayY. FantayeAfrican Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South AfricaM. FarhangPhysics Department, Shahid Beheshti University, Velenjak, Tehran 19839, IranJ. FergussonCentre for Theoretical Cosmology, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UKR. Fernández-CobosInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainF. Finelli⋆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, ItalyF. ForastieriINFN, Sezione di Ferrara, Via Saragat 1, 44122 Ferrara, ItalyM. FrailisINAF – Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, Trieste, ItalyA. A. FraisseDepartment of Physics, Princeton University, Princeton, NJ, USAE. FranceschiINAF – 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, ItalyA. FrolovSimon Fraser University, Department of Physics, 8888 University Drive, Burnaby, BC, CanadaS. GaleottaINAF – Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, Trieste, ItalyS. GalliInstitut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceK. GangaAPC, 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, FranceR. T. Génova-SantosDepartamento de Astrofísica, Universidad de La Laguna (ULL), 38206 La Laguna, Tenerife, SpainM. GerbinoHEP Division, Argonne National Laboratory, Lemont, IL 60439, USAT. GhoshCahill Center for Astronomy and Astrophysics, California Institute of Technology, Pasadena, CA 91125, USAJ. González-NuevoDepartamento de Física, Universidad de Oviedo, C/ Federico García Lorca, 18, Oviedo, SpainK. M. GórskiJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, USAS. GrattonInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKA. GruppusoINAF – 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, ItalyJ. E. GudmundssonDepartment of Physics, Princeton University, Princeton, NJ, USAJ. HamannSchool of Physics, The University of New South Wales, Sydney, NSW 2052, AustraliaWill HandleyAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKF. K. HansenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayD. HerranzInstituto de Física de Cantabria (CSIC-Universidad de Cantabria), Avda. de los Castros s/n, Santander, SpainS. R. HildebrandtCalifornia Institute of Technology, Pasadena, CA, USAE. HivonInstitut d’Astrophysique de Paris, CNRS (UMR7095), 98 bis Boulevard Arago, 75014 Paris, FranceZhiqi HuangSchool of Physics and Astronomy, Sun Yat-sen University, 2 Daxue Rd, Tangjia, Zhuhai, PR ChinaA. H. JaffeImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London SW7 2AZ, UKW. C. JonesDepartment of Physics, Princeton University, Princeton, NJ, USAA. KarakciInstitute of Theoretical Astrophysics, University of Oslo, Blindern, Oslo, NorwayE. KeihänenDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandR. KeskitaloComputational Cosmology Center, Lawrence Berkeley National Laboratory, Berkeley, CA, USAK. KiiveriDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandJ. KimMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyT. S. KisnerLawrence Berkeley National Laboratory, Berkeley, CA, USAL. KnoxDepartment of Physics, University of California, One Shields Avenue, Davis, CA, USAN. KrachmalnicoffSISSA, Astrophysics Sector, Via Bonomea 265, 34136 Trieste, ItalyM. KunzAfrican Institute for Mathematical Sciences, 6-8 Melrose Road, Muizenberg, Cape Town, South AfricaH. Kurki‐SuonioDepartment of Physics, Gustaf Hällströmin katu 2a, University of Helsinki, Helsinki, FinlandG. LagacheAix Marseille Univ, CNRS, CNES, LAM, Marseille, FranceJ.‐M. LamarreSorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, FranceA. LasenbyAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKM. LattanziDipartimento di Fisica e Scienze della Terra, Università di Ferrara, Via Saragat 1, 44122 Ferrara, ItalyC. R. LawrenceJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, USAM. Le JeuneAPC, 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, FrancePablo LemosInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKJ. LesgourguesInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, 52056 Aachen, GermanyF. LevrierSorbonne Université, Observatoire de Paris, Université PSL, École normale supérieure, CNRS, LERMA, 75005 Paris, FranceAntony LewisDepartment of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, UKM. LiguoriDipartimento di Fisica e Astronomia G. Galilei, Università degli Studi di Padova, Via Marzolo 8, 35131 Padova, Italy
2021en
ABI
Аннотация
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) &lt; 0:018 (lowE, flat τ(15, 30), FlexKnot), (1) τ(15, 30) &lt; 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 &amp; Bouchet (2018) as was stated, but are instead comparable. Equations (1) and (2) give results that are now similar to those of Heinrich &amp; 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.
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