Planck 2013 results: XXII. Constraints on inflation

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorAde, P.A.R.en_US
dc.contributor.authorAghanim, N.en_US
dc.contributor.authorArmitage-Caplan, C.en_US
dc.contributor.authorArnaud, M.en_US
dc.contributor.authorAshdown, M.en_US
dc.contributor.authorAtrio-Barandela, F.en_US
dc.contributor.authorAumont, J.en_US
dc.contributor.authorBaccigalupi, C.en_US
dc.contributor.authorBanday, A.J.en_US
dc.contributor.authorBarreiro, R.B.en_US
dc.contributor.authorBartlett, J.G.en_US
dc.contributor.authorBartolo, N.en_US
dc.contributor.authorBattaner, E.en_US
dc.contributor.authorBenabed, K.en_US
dc.contributor.authorBenoît, A.en_US
dc.contributor.authorBenoit-Lévy, A.en_US
dc.contributor.authorBernard, J.-P.en_US
dc.contributor.authorBersanelli, M.en_US
dc.contributor.authorBielewicz, P.en_US
dc.contributor.authorBobin, J.en_US
dc.contributor.authorBock, J.J.en_US
dc.contributor.authorBonaldi, A.en_US
dc.contributor.authorBond, J.R.en_US
dc.contributor.authorBorrill, J.en_US
dc.contributor.authorBouchet, F.R.en_US
dc.contributor.authorBridges, M.en_US
dc.contributor.authorBucher, M.en_US
dc.contributor.authorBurigana, C.en_US
dc.contributor.authorButler, R.C.en_US
dc.contributor.authorCalabrese, E.en_US
dc.contributor.authorCardoso, J.-F.en_US
dc.contributor.authorCatalano, A.en_US
dc.contributor.authorChallinor, A.en_US
dc.contributor.authorChamballu, A.en_US
dc.contributor.authorChiang, H.C.en_US
dc.contributor.authorChiang, L.-Y.en_US
dc.contributor.authorChristensen, P.R.en_US
dc.contributor.authorChurch, S.en_US
dc.contributor.authorClements, D.L.en_US
dc.contributor.authorColombi, S.en_US
dc.contributor.authorColombo, L.P.L.en_US
dc.contributor.authorCouchot, F.en_US
dc.contributor.authorCoulais, A.en_US
dc.contributor.authorCrill, B.P.en_US
dc.contributor.authorCurto, A.en_US
dc.contributor.authorCuttaia, F.en_US
dc.contributor.authorDanese, L.en_US
dc.contributor.authorDavies, R.D.en_US
dc.contributor.authorDavis, R.J.en_US
dc.contributor.authorde Bernardis, P.en_US
dc.contributor.authorde Rosa, A.en_US
dc.contributor.authorde Zotti, G.en_US
dc.contributor.authorDelabrouille, J.en_US
dc.contributor.authorDelouis, J.-M.en_US
dc.contributor.authorDésert, F.-X.en_US
dc.contributor.authorDickinson, C.en_US
dc.contributor.authorDiego, J.M.en_US
dc.contributor.authorDole, H.en_US
dc.contributor.authorDonzelli, S.en_US
dc.contributor.authorDoré, O.en_US
dc.contributor.authorDouspis, M.en_US
dc.contributor.authorDunkley, J.en_US
dc.contributor.authorDupac, X.en_US
dc.contributor.authorEfstathiou, G.en_US
dc.contributor.authorEnßlin, T.A.en_US
dc.contributor.authorEriksen, H.K.en_US
dc.contributor.authorFinelli, F.en_US
dc.contributor.authorForni, O.en_US
dc.contributor.authorFrailis, M.en_US
dc.contributor.authorFranceschi, E.en_US
dc.contributor.authorGaleotta, S.en_US
dc.contributor.authorGanga, K.en_US
dc.contributor.authorGauthier, C.en_US
dc.contributor.authorGiard, M.en_US
dc.contributor.authorGiardino, G.en_US
dc.contributor.authorGiraud-Héraud, Y.en_US
dc.contributor.authorGonzález-Nuevo, J.en_US
dc.contributor.authorGórski, K.M.en_US
dc.contributor.authorGratton, S.en_US
dc.contributor.authorGregorio, A.en_US
dc.contributor.authorGruppuso, A.en_US
dc.contributor.authorHamann, J.en_US
dc.contributor.authorHansen, F.K.en_US
dc.contributor.authorHanson, D.en_US
dc.contributor.authorHarrison, D.en_US
dc.contributor.authorHenrot-Versillé, S.en_US
dc.contributor.authorHernández-Monteagudo, C.en_US
dc.contributor.authorHerranz, D.en_US
dc.contributor.authorHildebrandt, S.R.en_US
dc.contributor.authorHivon, E.en_US
dc.contributor.authorHobson, M.en_US
dc.contributor.authorHolmes, W.A.en_US
dc.contributor.authorHornstrup, A.en_US
dc.contributor.authorHovest, W.en_US
dc.contributor.authorHuffenberger, K.M.en_US
dc.contributor.authorJaffe, A.H.en_US
dc.contributor.authorJaffe, T.R.en_US
dc.contributor.authorJones, W.C.en_US
dc.contributor.authorJuvela, M.en_US
dc.contributor.authorKeihänen, E.en_US
dc.contributor.authorKeskitalo, R.en_US
dc.contributor.authorKisner, T.S.en_US
dc.contributor.authorKneissl, R.en_US
dc.contributor.authorKnoche, J.en_US
dc.contributor.authorKnox, L.en_US
dc.contributor.authorKunz, M.en_US
dc.contributor.authorKurki-Suonio, H.en_US
dc.contributor.authorLagache, G.en_US
dc.contributor.authorLähteenmäki, A.en_US
dc.contributor.authorLamarre, J.-M.en_US
dc.contributor.authorLasenby, A.en_US
dc.contributor.authorLaureijs, R.J.en_US
dc.contributor.authorLawrence, C.R.en_US
dc.contributor.authorLeach, S.en_US
dc.contributor.authorLeahy, J.P.en_US
dc.contributor.authorLeonardi, R.en_US
dc.contributor.authorLesgourgues, J.en_US
dc.contributor.authorLewis, A.en_US
dc.contributor.authorLiguori, M.en_US
dc.contributor.authorLilje, P.B.en_US
dc.contributor.authorLinden-Vørnle, M.en_US
dc.contributor.authorLópez-Caniego, M.en_US
dc.contributor.authorLubin, P.M.en_US
dc.contributor.authorMacías-Pérez, J.F.en_US
dc.contributor.authorMaffei, B.en_US
dc.contributor.authorMaino, D.en_US
dc.contributor.authorMandolesi, N.en_US
dc.contributor.authorMaris, M.en_US
dc.contributor.authorMarshall, D.J.en_US
dc.contributor.authorMartin, P.G.en_US
dc.contributor.authorMartínez-González, E.en_US
dc.contributor.authorMasi, S.en_US
dc.contributor.authorMassardi, M.en_US
dc.contributor.authorMatarrese, S.en_US
dc.contributor.authorMatthai, F.en_US
dc.contributor.authorMazzotta, P.en_US
dc.contributor.authorMeinhold, P.R.en_US
dc.contributor.authorMelchiorri, A.en_US
dc.contributor.authorMendes, L.en_US
dc.contributor.authorMennella, A.en_US
dc.contributor.authorMigliaccio, M.en_US
dc.contributor.authorMitra, S.en_US
dc.contributor.authorMiville-Deschênes, M.-A.en_US
dc.contributor.authorMoneti, A.en_US
dc.contributor.authorMontier, L.en_US
dc.contributor.authorMorgante, G.en_US
dc.contributor.authorMortlock, D.en_US
dc.contributor.authorMoss, A.en_US
dc.contributor.authorMunshi, D.en_US
dc.contributor.authorMurphy, J.A.en_US
dc.contributor.authorNaselsky, P.en_US
dc.contributor.authorNati, F.en_US
dc.contributor.authorNatoli, P.en_US
dc.contributor.authorNetterfield, C.B.en_US
dc.contributor.authorNørgaard-Nielsen, H.U.en_US
dc.contributor.authorNoviello, F.en_US
dc.contributor.authorNovikov, D.en_US
dc.contributor.authorNovikov, I.en_US
dc.contributor.author"O'Dwyer", I.J.en_US
dc.contributor.authorOsborne, S.en_US
dc.contributor.authorOxborrow, C.A.en_US
dc.contributor.authorPaci, F.en_US
dc.contributor.authorPagano, L.en_US
dc.contributor.authorPajot, F.en_US
dc.contributor.authorPaladini, R.en_US
dc.contributor.authorPandolfi, S.en_US
dc.contributor.authorPaoletti, D.en_US
dc.contributor.authorPartridge, B.en_US
dc.contributor.authorPasian, F.en_US
dc.contributor.authorPatanchon, G.en_US
dc.contributor.authorPeiris, H.V.en_US
dc.contributor.authorPerdereau, O.en_US
dc.contributor.authorPerotto, L.en_US
dc.contributor.authorPerrotta, F.en_US
dc.contributor.authorPiacentini, F.en_US
dc.contributor.authorPiat, M.en_US
dc.contributor.authorPierpaoli, E.en_US
dc.contributor.authorPietrobon, D.en_US
dc.contributor.authorPlaszczynski, S.en_US
dc.contributor.authorPointecouteau, E.en_US
dc.contributor.authorPolenta, G.en_US
dc.contributor.authorPonthieu, N.en_US
dc.contributor.authorPopa, L.en_US
dc.contributor.authorPoutanen, T.en_US
dc.contributor.authorPratt, G.W.en_US
dc.contributor.authorPrézeau, G.en_US
dc.contributor.authorPrunet, S.en_US
dc.contributor.authorPuget, J.-L.en_US
dc.contributor.authorRachen, J.P.en_US
dc.contributor.authorRebolo, R.en_US
dc.contributor.authorReinecke, M.en_US
dc.contributor.authorRemazeilles, M.en_US
dc.contributor.authorRenault, C.en_US
dc.contributor.authorRicciardi, S.en_US
dc.contributor.authorRiller, T.en_US
dc.contributor.authorRistorcelli, I.en_US
dc.contributor.authorRocha, G.en_US
dc.contributor.authorRosset, C.en_US
dc.contributor.authorRoudier, G.en_US
dc.contributor.authorRowan-Robinson, M.en_US
dc.contributor.authorRubiño-Martín, J.A.en_US
dc.contributor.authorRusholme, B.en_US
dc.contributor.authorSandri, M.en_US
dc.contributor.authorSantos, D.en_US
dc.contributor.authorSavelainen, M.en_US
dc.contributor.authorSavini, G.en_US
dc.contributor.authorScott, D.en_US
dc.contributor.authorSeiffert, M.D.en_US
dc.contributor.authorShellard, E.P.S.en_US
dc.contributor.authorSpencer, L.D.en_US
dc.contributor.authorStarck, J.-L.en_US
dc.contributor.authorStolyarov, V.en_US
dc.contributor.authorStompor, R.en_US
dc.contributor.authorSudiwala, R.en_US
dc.contributor.authorSunyaev, R.en_US
dc.contributor.authorSureau, F.en_US
dc.contributor.authorSutton, D.en_US
dc.contributor.authorSuur-Uski, A.-S.en_US
dc.contributor.authorSygnet, J.-F.en_US
dc.contributor.authorTauber, J.A.en_US
dc.contributor.authorTavagnacco, D.en_US
dc.contributor.authorTerenzi, L.en_US
dc.contributor.authorToffolatti, L.en_US
dc.contributor.authorTomasi, M.en_US
dc.contributor.authorTréguer-Goudineau, J.en_US
dc.contributor.authorTristram, M.en_US
dc.contributor.authorTucci, M.en_US
dc.contributor.authorTuovinen, J.en_US
dc.contributor.authorValenziano, L.en_US
dc.contributor.authorValiviita, J.en_US
dc.contributor.authorVan Tent, B.en_US
dc.contributor.authorVaris, J.en_US
dc.contributor.authorVielva, P.en_US
dc.contributor.authorVilla, F.en_US
dc.contributor.authorVittorio, N.en_US
dc.contributor.authorWade, L.A.en_US
dc.contributor.authorWandelt, B.D.en_US
dc.contributor.authorWhite, M.en_US
dc.contributor.authorWilkinson, A.en_US
dc.contributor.authorYvon, D.en_US
dc.contributor.authorZacchei, A.en_US
dc.contributor.authorZibin, J.P.en_US
dc.contributor.authorZonca, A.en_US
dc.contributor.departmentMetsähovi Radio Observatoryen
dc.contributor.departmentDepartment of Electronics and Nanoengineeringen
dc.contributor.groupauthorAnne Lähteenmäki Groupen
dc.contributor.organizationUniversity of Helsinkien_US
dc.date.accessioned2016-09-08T08:29:59Z
dc.date.issued2014en_US
dc.description.abstractWe analyse the implications of the Planck data for cosmic inflation. The Planck nominal mission temperature anisotropy measurements, combined with the WMAP large-angle polarization, constrain the scalar spectral index to be ns = 0.9603 ± 0.0073, ruling out exact scale invariance at over 5σ.Planck establishes an upper bound on the tensor-to-scalar ratio of r< 0.11 (95% CL). The Planck data thus shrink the space of allowed standard inflationary models, preferring potentials with V′′< 0. Exponential potential models, the simplest hybrid inflationary models, and monomial potential models of degree n ≥ 2 do not provide a good fit to the data. Planck does not find statistically significant running of the scalar spectral index, obtaining dns/ dlnk = − 0.0134 ± 0.0090. We verify these conclusions through a numerical analysis, which makes no slow-roll approximation, and carry out a Bayesian parameter estimation and model-selection analysis for a number of inflationary models including monomial, natural, and hilltop potentials. For each model, we present the Planck constraints on the parameters of the potential and explore several possibilities for the post-inflationary entropy generation epoch, thus obtaining nontrivial data-driven constraints. We also present a direct reconstruction of the observable range of the inflaton potential. Unless a quartic term is allowed in the potential, we find results consistent with second-order slow-roll predictions. We also investigate whether the primordial power spectrum contains any features. We find that models with a parameterized oscillatory feature improve the fit by Δχ2eff ≈ 10; however, Bayesian evidence does not prefer these models. We constrain several single-field inflation models with generalized Lagrangians by combining power spectrum data with Planck bounds on fNL. Planck constrains with unprecedented accuracy the amplitude and possible correlation (with the adiabatic mode) of non-decaying isocurvature fluctuations. The fractional primordial contributions of cold dark matter (CDM) isocurvature modes of the types expected in the curvaton and axion scenarios have upper bounds of 0.25% and 3.9% (95% CL), respectively. In models with arbitrarily correlated CDM or neutrino isocurvature modes, an anticorrelated isocurvature component can improve the χ2eff by approximately 4 as a result of slightly lowering the theoretical prediction for the ℓ ≲ 40 multipoles relative to the higher multipoles. Nonetheless, the data are consistent with adiabatic initial conditions.en
dc.description.versionPeer revieweden
dc.format.extent42
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationAde, P A R, Aghanim, N, Armitage-Caplan, C, Arnaud, M, Ashdown, M, Atrio-Barandela, F, Aumont, J, Baccigalupi, C, Banday, A J, Barreiro, R B, Bartlett, J G, Bartolo, N, Battaner, E, Benabed, K, Benoît, A, Benoit-Lévy, A, Bernard, J-P, Bersanelli, M, Bielewicz, P, Bobin, J, Bock, J J, Bonaldi, A, Bond, J R, Borrill, J, Bouchet, F R, Bridges, M, Bucher, M, Burigana, C, Butler, R C, Calabrese, E, Cardoso, J-F, Catalano, A, Challinor, A, Chamballu, A, Chiang, H C, Chiang, L-Y, Christensen, P R, Church, S, Clements, D L, Colombi, S, Colombo, L P L, Couchot, F, Coulais, A, Crill, B P, Curto, A, Cuttaia, F, Danese, L, Davies, R D, Davis, R J, de Bernardis, P, de Rosa, A, de Zotti, G, Delabrouille, J, Delouis, J-M, Désert, F-X, Dickinson, C, Diego, J M, Dole, H, Donzelli, S, Doré, O, Douspis, M, Dunkley, J, Dupac, X, Efstathiou, G, Enßlin, T A, Eriksen, H K, Finelli, F, Forni, O, Frailis, M, Franceschi, E, Galeotta, S, Ganga, K, Gauthier, C, Giard, M, Giardino, G, Giraud-Héraud, Y, González-Nuevo, J, Górski, K M, Gratton, S, Gregorio, A, Gruppuso, A, Hamann, J, Hansen, F K, Hanson, D, Harrison, D, Henrot-Versillé, S, Hernández-Monteagudo, C, Herranz, D, Hildebrandt, S R, Hivon, E, Hobson, M, Holmes, W A, Hornstrup, A, Hovest, W, Huffenberger, K M, Jaffe, A H, Jaffe, T R, Jones, W C, Juvela, M, Keihänen, E, Keskitalo, R, Kisner, T S, Kneissl, R, Knoche, J, Knox, L, Kunz, M, Kurki-Suonio, H, Lagache, G, Lähteenmäki, A, Lamarre, J-M, Lasenby, A, Laureijs, R J, Lawrence, C R, Leach, S, Leahy, J P, Leonardi, R, Lesgourgues, J, Lewis, A, Liguori, M, Lilje, P B, Linden-Vørnle, M, López-Caniego, M, Lubin, P M, Macías-Pérez, J F, Maffei, B, Maino, D, Mandolesi, N, Maris, M, Marshall, D J, Martin, P G, Martínez-González, E, Masi, S, Massardi, M, Matarrese, S, Matthai, F, Mazzotta, P, Meinhold, P R, Melchiorri, A, Mendes, L, Mennella, A, Migliaccio, M, Mitra, S, Miville-Deschênes, M-A, Moneti, A, Montier, L, Morgante, G, Mortlock, D, Moss, A, Munshi, D, Murphy, J A, Naselsky, P, Nati, F, Natoli, P, Netterfield, C B, Nørgaard-Nielsen, H U, Noviello, F, Novikov, D, Novikov, I, "O'Dwyer", I J, Osborne, S, Oxborrow, C A, Paci, F, Pagano, L, Pajot, F, Paladini, R, Pandolfi, S, Paoletti, D, Partridge, B, Pasian, F, Patanchon, G, Peiris, H V, Perdereau, O, Perotto, L, Perrotta, F, Piacentini, F, Piat, M, Pierpaoli, E, Pietrobon, D, Plaszczynski, S, Pointecouteau, E, Polenta, G, Ponthieu, N, Popa, L, Poutanen, T, Pratt, G W, Prézeau, G, Prunet, S, Puget, J-L, Rachen, J P, Rebolo, R, Reinecke, M, Remazeilles, M, Renault, C, Ricciardi, S, Riller, T, Ristorcelli, I, Rocha, G, Rosset, C, Roudier, G, Rowan-Robinson, M, Rubiño-Martín, J A, Rusholme, B, Sandri, M, Santos, D, Savelainen, M, Savini, G, Scott, D, Seiffert, M D, Shellard, E P S, Spencer, L D, Starck, J-L, Stolyarov, V, Stompor, R, Sudiwala, R, Sunyaev, R, Sureau, F, Sutton, D, Suur-Uski, A-S, Sygnet, J-F, Tauber, J A, Tavagnacco, D, Terenzi, L, Toffolatti, L, Tomasi, M, Tréguer-Goudineau, J, Tristram, M, Tucci, M, Tuovinen, J, Valenziano, L, Valiviita, J, Van Tent, B, Varis, J, Vielva, P, Villa, F, Vittorio, N, Wade, L A, Wandelt, B D, White, M, Wilkinson, A, Yvon, D, Zacchei, A, Zibin, J P & Zonca, A 2014, ' Planck 2013 results : XXII. Constraints on inflation ', Astronomy and Astrophysics, vol. 571, A22 . https://doi.org/10.1051/0004-6361/201321569en
dc.identifier.doi10.1051/0004-6361/201321569en_US
dc.identifier.issn0004-6361
dc.identifier.issn1432-0746
dc.identifier.otherPURE UUID: b3014901-4ec9-4d88-adb0-eebc74e608a5en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/b3014901-4ec9-4d88-adb0-eebc74e608a5en_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/6574210/Planck_2013_results._XXII._Contraints.pdfen_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/21870
dc.identifier.urnURN:NBN:fi:aalto-201609083756
dc.language.isoenen
dc.relation.ispartofseriesASTRONOMY AND ASTROPHYSICSen
dc.relation.ispartofseriesVolume 571, issue id. A22en
dc.rightsopenAccessen
dc.subject.keywordcosmic background radiationen_US
dc.subject.keywordinflationen_US
dc.subject.keywordearly Universeen_US
dc.titlePlanck 2013 results: XXII. Constraints on inflationen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionpublishedVersion
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