Planck CollaborationAghanim, N.N.AghanimAkrami, Y.Y.AkramiAshdown, M.M.AshdownAumont, J.J.AumontBaccigalupi, C.C.BaccigalupiBallardini, M.M.BallardiniBanday, A. J.A. J.BandayBarreiro, R. B.R. B.BarreiroBartolo, N.N.BartoloBasak, S.S.BasakBattye, R.R.BattyeBenabed, K.K.BenabedBernard, J. -P.J. -P.BernardBersanelli, M.M.BersanelliBielewicz, P.P.BielewiczBock, J. J.J. J.BockBond, J. R.J. R.BondBorrill, J.J.BorrillBouchet, F. R.F. R.BouchetBoulanger, F.F.BoulangerBucher, M.M.BucherBURIGANA, CARLOCARLOBURIGANAButler, R. C.R. C.ButlerCalabrese, E.E.CalabreseCardoso, J. -F.J. -F.CardosoCarron, J.J.CarronChallinor, A.A.ChallinorChiang, H. C.H. C.ChiangChluba, J.J.ChlubaColombo, L. P. L.L. P. L.ColomboCombet, C.C.CombetContreras, D.D.ContrerasCrill, B. P.B. P.CrillCUTTAIA, FRANCESCOFRANCESCOCUTTAIAde Bernardis, P.P.de Bernardisde Zotti, G.G.de ZottiDelabrouille, J.J.DelabrouilleDelouis, J. -M.J. -M.DelouisDi Valentino, E.E.Di ValentinoDiego, J. M.J. M.DiegoDoré, O.O.DoréDouspis, M.M.DouspisDucout, A.A.DucoutDupac, X.X.DupacDusini, S.S.DusiniEfstathiou, G.G.EfstathiouElsner, F.F.ElsnerEnßlin, T. A.T. A.EnßlinEriksen, H. K.H. K.EriksenFantaye, Y.Y.FantayeFarhang, M.M.FarhangFergusson, J.J.FergussonFernandez-Cobos, R.R.Fernandez-CobosFINELLI, FABIOFABIOFINELLIForastieri, F.F.ForastieriFRAILIS, MarcoMarcoFRAILISFraisse, A. A.A. A.FraisseFRANCESCHI, ENRICOENRICOFRANCESCHIFrolov, A.A.FrolovGALEOTTA, SamueleSamueleGALEOTTAGalli, S.S.GalliGanga, K.K.GangaGénova-Santos, R. T.R. T.Génova-SantosGerbino, M.M.GerbinoGhosh, T.T.GhoshGonzález-Nuevo, J.J.González-NuevoGórski, K. M.K. M.GórskiGratton, S.S.GrattonGRUPPUSO, ALESSANDROALESSANDROGRUPPUSOGudmundsson, J. E.J. E.GudmundssonHamann, J.J.HamannHandley, W.W.HandleyHansen, F. K.F. K.HansenHerranz, D.D.HerranzHildebrandt, S. R.S. R.HildebrandtHivon, E.E.HivonHuang, Z.Z.HuangJaffe, A. H.A. H.JaffeJones, W. C.W. C.JonesKarakci, A.A.KarakciKeihänen, E.E.KeihänenKeskitalo, R.R.KeskitaloKiiveri, K.K.KiiveriKim, J.J.KimKisner, T. S.T. S.KisnerKnox, L.L.KnoxKrachmalnicoff, N.N.KrachmalnicoffKunz, M.M.KunzKurki-Suonio, H.H.Kurki-SuonioLagache, G.G.LagacheLamarre, J. -M.J. -M.LamarreLasenby, A.A.LasenbyLATTANZI, Mario GilbertoMario GilbertoLATTANZILawrence, C. R.C. R.LawrenceLe Jeune, M.M.Le JeuneLemos, P.P.LemosLesgourgues, J.J.LesgourguesLevrier, F.F.LevrierLewis, A.A.LewisLiguori, M.M.LiguoriLilje, P. B.P. B.LiljeLilley, M.M.LilleyLindholm, V.V.LindholmLópez-Caniego, M.M.López-CaniegoLubin, P. M.P. M.LubinMa, Y. -Z.Y. -Z.MaMacías-Pérez, J. F.J. F.Macías-PérezMAGGIO, GianmarcoGianmarcoMAGGIOMaino, D.D.MainoMandolesi, N.N.MandolesiMangilli, A.A.MangilliMarcos-Caballero, A.A.Marcos-CaballeroMARIS, MicheleMicheleMARISMartin, P. G.P. G.MartinMartinelli, M.M.MartinelliMartínez-González, E.E.Martínez-GonzálezMatarrese, S.S.MatarreseMauri, N.N.MauriMcEwen, J. D.J. D.McEwenMeinhold, P. R.P. R.MeinholdMelchiorri, A.A.MelchiorriMennella, A.A.MennellaMigliaccio, M.M.MigliaccioMillea, M.M.MilleaMitra, S.S.MitraMiville-Deschênes, M. -A.M. -A.Miville-DeschênesMolinari, D.D.MolinariMontier, L.L.MontierMORGANTE, GIANLUCAGIANLUCAMORGANTEMoss, A.A.MossNatoli, P.P.NatoliNørgaard-Nielsen, H. U.H. U.Nørgaard-NielsenPagano, L.L.PaganoPAOLETTI, DANIELADANIELAPAOLETTIPartridge, B.B.PartridgePatanchon, G.G.PatanchonPeiris, H. V.H. V.PeirisPERROTTA, FrancescoFrancescoPERROTTAPettorino, V.V.PettorinoPiacentini, F.F.PiacentiniPolastri, L.L.PolastriPolenta, G.G.PolentaPuget, J. -L.J. -L.PugetRachen, J. P.J. P.RachenReinecke, M.M.ReineckeRemazeilles, M.M.RemazeillesRenzi, A.A.RenziRocha, G.G.RochaRosset, C.C.RossetRoudier, G.G.RoudierRubiño-Martín, J. A.J. A.Rubiño-MartínRuiz-Granados, B.B.Ruiz-GranadosSalvati, L.L.SalvatiSANDRI, MAURAMAURASANDRISavelainen, M.M.SavelainenScott, D.D.ScottShellard, E. P. S.E. P. S.ShellardSirignano, C.C.SirignanoSirri, G.G.SirriSpencer, L. D.L. D.SpencerSunyaev, R.R.SunyaevSuur-Uski, A. -S.A. -S.Suur-UskiTauber, J. A.J. A.TauberTAVAGNACCO, DanieleDanieleTAVAGNACCOTenti, M.M.TentiToffolatti, L.L.ToffolattiTomasi, M.M.TomasiTrombetti, T.T.TrombettiVALENZIANO, LucaLucaVALENZIANOValiviita, J.J.ValiviitaVan Tent, B.B.Van TentVibert, L.L.VibertVielva, P.P.VielvaVILLA, FabrizioFabrizioVILLAVittorio, N.N.VittorioWandelt, B. D.B. D.WandeltWehus, I. K.I. K.WehusWhite, M.M.WhiteWhite, S. D. M.S. D. M.WhiteZACCHEI, AndreaAndreaZACCHEIZonca, A.A.Zonca2022-05-312022-05-3120210004-6361http://hdl.handle.net/20.500.12386/32131In 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.STAMPAenArticle10.1051/0004-6361/201833910e2-s2.0-85113198551https://www.aanda.org/articles/aa/full_html/2021/08/aa33910e-18/aa33910e-18.html2021A&A...652C...4PFIS/05 - ASTRONOMIA E ASTROFISICAERC sectors::Physical Sciences and Engineering::PE9 Universe sciences: astro-physics/chemistry/biology; solar systems; stellar, galactic and extragalactic astronomy, planetary systems, cosmology, space science, instrumentation