CERN Accelerating science

Article
Report number arXiv:1502.02114
Title Planck 2015. XX. Constraints on inflation
Author(s)

Ade, P.A.R. (Cardiff U.) ; Aghanim, N. (Orsay) ; Arnaud, M. (DAPNIA, Saclay) ; Arroja, F. (INFN, Padua ; Taiwan, Natl. Taiwan U.) ; Ashdown, M. (Cambridge U., KICC ; Cambridge U.) ; Aumont, J. (Orsay) ; Baccigalupi, C. (SISSA, Trieste) ; Ballardini, M. (Bologna Observ. ; INFN, Bologna ; Bologna U.) ; Banday, A.J. (Toulouse III U. ; IRAP, Toulouse) ; Barreiro, R.B. (Cantabria Inst. of Phys.) ; Bartolo, N. (Padua U. ; INFN, Padua) ; Battaner, E. (Granada U.) ; Benabed, K. (Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Benoit, A. (Neel Lab, Grenoble) ; Benoit-Levy, A. (University Coll. London ; Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Bernard, J.P. (Toulouse III U. ; IRAP, Toulouse) ; Bersanelli, M. (Milan U. ; Brera Observ.) ; Bielewicz, P. (Toulouse III U. ; IRAP, Toulouse ; SISSA, Trieste) ; Bonaldi, A. (Manchester U.) ; Bonavera, L. (Cantabria Inst. of Phys.) ; Bond, J.R. (Canadian Inst. Theor. Astrophys.) ; Borrill, J. (LBL, Berkeley ; UC, Berkeley) ; Bouchet, F.R. (Paris, Inst. Astrophys.) ; Boulanger, F. (Orsay) ; Bucher, M. (APC, Paris) ; Burigana, C. (Bologna Observ. ; Ferrara U. ; INFN, Bologna) ; Butler, R.C. (Bologna Observ.) ; Calabrese, E. (Oxford U.) ; Cardoso, J.F. (LTCI, Paris ; APC, Paris ; Paris, Inst. Astrophys.) ; Catalano, A. (LPSC, Grenoble ; LERMA, Ivry) ; Challinor, A. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC ; Cambridge U., DAMTP) ; Chamballu, A. (DAPNIA, Saclay ; Orsay) ; Chary, R.R. (Caltech) ; Chiang, H.C. (Princeton U. ; KwaZulu Natal U.) ; Christensen, P.R. (Bohr Inst.) ; Church, S. (Stanford U., Phys. Dept.) ; Clements, D.L. (Imperial Coll., London) ; Colombi, S. (Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Colombo, L.P.L. (UCLA ; Caltech) ; Combet, C. (LPSC, Grenoble) ; Contreras, D. (British Columbia U.) ; Couchot, F. (Orsay) ; Coulais, A. (LERMA, Ivry) ; Crill, B.P. (Caltech) ; Curto, A. (Cambridge U. ; Cantabria Inst. of Phys.) ; Cuttaia, F. (Bologna Observ.) ; Danese, L. (SISSA, Trieste) ; Davies, R.D. (Manchester U.) ; Davis, R.J. (Manchester U.) ; de Bernardis, P. (Rome U.) ; de Rosa, A. (Bologna Observ.) ; de Zotti, G. (Padua Observ. ; SISSA, Trieste) ; Delabrouille, J. (APC, Paris) ; Desert, F.X. (Grenoble Observ.) ; Diego, J.M. (Cantabria Inst. of Phys.) ; Dole, H. (Orsay ; IUF, Paris) ; Donzelli, S. (Brera Observ.) ; Dore, O. (Caltech) ; Douspis, M. (Orsay) ; Ducout, A. (Paris, Inst. Astrophys. ; Imperial Coll., London) ; Dupac, X. (ESA, Madrid) ; Efstathiou, G. (Cambridge U., Inst. of Astron.) ; Elsner, F. (University Coll. London ; Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Ensslin, T.A. (Garching, Max Planck Inst.) ; Eriksen, H.K. (Oslo U.) ; Fergusson, J. (Cambridge U., DAMTP) ; Finelli, F. (Bologna Observ. ; INFN, Bologna) ; Forni, O. (Toulouse III U. ; IRAP, Toulouse) ; Frailis, M. (Trieste Observ.) ; Fraisse, A.A. (Princeton U.) ; Franceschi, E. (Bologna Observ.) ; Frejsel, A. (Bohr Inst.) ; Frolov, A. (Simon Fraser U.) ; Galeotta, S. (Trieste Observ.) ; Galli, S. (Paris, Inst. Astrophys.) ; Ganga, K. (APC, Paris) ; Gauthier, C. (APC, Paris ; Taiwan, Natl. Taiwan U.) ; Giard, M. (Toulouse III U. ; IRAP, Toulouse) ; Giraud-Heraud, Y. (APC, Paris) ; Gjerlow, E. (Oslo U.) ; Gonzalez-Nuevo, J. (Cantabria Inst. of Phys. ; SISSA, Trieste) ; Gorski, K.M. (Caltech ; Warsaw U.) ; Gratton, S. (Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Gregorio, A. (Trieste U. ; Trieste Observ. ; INFN, Trieste) ; Gruppuso, A. (Bologna Observ.) ; Gudmundsson, J.E. (Princeton U.) ; Hamann, J. (CERN ; Sydney U.) ; Handley, W. (Cambridge U., KICC ; Cambridge U.) ; Hansen, F.K. (Oslo U.) ; Hanson, D. (Rutherford ; Caltech ; Canadian Inst. Theor. Astrophys.) ; Harrison, D.L. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Henrot-Versille, S. (Orsay) ; Hernandez-Monteagudo, C. (CEFCA, Teruel ; Garching, Max Planck Inst.) ; Herranz, D. (Cantabria Inst. of Phys.) ; Hildebrandt, S.R. (Caltech) ; Hivon, E. (Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Hobson, M. (Cambridge U.) ; Holmes, W.A. (Caltech) ; Hornstrup, A. (Denmark, Tech. U.) ; Hovest, W. (Garching, Max Planck Inst.) ; Huang, Z. (Canadian Inst. Theor. Astrophys.) ; Huffenberger, K.M. (Florida State U.) ; Hurier, G. (Orsay) ; Jaffe, A.H. (Imperial Coll., London) ; Jaffe, T.R. (Toulouse III U. ; IRAP, Toulouse) ; Jones, W.C. (Princeton U.) ; Juvela, M. (Helsinki U.) ; Keihanen, E. (Helsinki U.) ; Keskitalo, R. (LBL, Berkeley) ; Kim, J. (Garching, Max Planck Inst.) ; Kisner, T.S. (LBL, Berkeley) ; Kneissl, R. (European Southern Obs., Chile) ; Knoche, J. (Garching, Max Planck Inst.) ; Kunz, M. (Geneva U. ; Orsay ; African Inst. Math. Sci., Cape Town) ; Kurki-Suonio, H. (Helsinki U. ; Helsinki Inst. of Phys.) ; Lagache, G. (Marseille, Lab. Astrophys. ; Orsay) ; Lahteenmaki, A. (Aalto U. ; Helsinki Inst. of Phys.) ; Lamarre, J.M. (LERMA, Ivry) ; Lasenby, A. (Cambridge U. ; Cambridge U., KICC) ; Lattanzi, M. (Ferrara U.) ; Lawrence, C.R. (Caltech) ; Leonardi, R. (ESA, Madrid) ; Lesgourgues, J. (CERN ; LPHE, Lausanne ; Savoie U.) ; Levrier, F. (LERMA, Ivry) ; Lewis, A. (Sussex U.) ; Liguori, M. (Padua U. ; INFN, Padua) ; Lilje, P.B. (Oslo U.) ; Linden-Vornle, M. (Denmark, Tech. U.) ; Lopez-Caniego, M. (ESA, Madrid ; Cantabria Inst. of Phys.) ; Lubin, P.M. (UC, Santa Barbara) ; Ma, Y.Z. (British Columbia U. ; Manchester U.) ; Macias-Perez, J.F. (LPSC, Grenoble) ; Maggio, G. (Trieste Observ.) ; Maino, D. (Milan U. ; Brera Observ.) ; Mandolesi, N. (Bologna Observ. ; Ferrara U.) ; Mangilli, A. (Orsay) ; Martin, P.G. (Canadian Inst. Theor. Astrophys.) ; Martinez-Gonzalez, E. (Cantabria Inst. of Phys.) ; Masi, S. (Rome U.) ; Matarrese, S. (Padua U. ; INFN, Padua ; Gran Sasso) ; Mazzotta, P. (Rome U.) ; McGehee, P. (Caltech) ; Meinhold, P.R. (UC, Santa Barbara) ; Melchiorri, A. (Rome U. ; INFN, Rome) ; Mendes, L. (ESA, Madrid) ; Mennella, A. (Milan U. ; Brera Observ.) ; Migliaccio, M. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Mitra, S. (Pune U. ; Caltech) ; Miville-Deschenes, M.A. (Orsay ; Canadian Inst. Theor. Astrophys.) ; Molinari, D. (Cantabria Inst. of Phys. ; Bologna Observ.) ; Moneti, A. (Paris, Inst. Astrophys.) ; Montier, L. (Toulouse III U. ; IRAP, Toulouse) ; Morgante, G. (Bologna Observ.) ; Mortlock, D. (Imperial Coll., London) ; Moss, A. (Nottingham U.) ; Munchmeyer, M. (Paris, Inst. Astrophys.) ; Munshi, D. (Cardiff U.) ; Murphy, J.A. (NUIM, Maynooth) ; Naselsky, P. (Bohr Inst.) ; Nati, F. (Princeton U.) ; Natoli, P. (Ferrara U. ; INFN, Rome2 ; Bologna Observ.) ; Netterfield, C.B. (Toronto U.) ; Norgaard-Nielsen, H.U. (Denmark, Tech. U.) ; Noviello, F. (Manchester U.) ; Novikov, D. (Lebedev Inst.) ; Novikov, I. (Bohr Inst. ; Lebedev Inst.) ; Oxborrow, C.A. (Denmark, Tech. U.) ; Paci, F. (SISSA, Trieste) ; Pagano, L. (Rome U. ; INFN, Rome) ; Pajot, F. (Orsay) ; Paladini, R. (Caltech) ; Pandolfi, S. (Bohr Inst.) ; Paoletti, D. (Bologna Observ. ; INFN, Bologna) ; Pasian, F. (Trieste Observ.) ; Patanchon, G. (APC, Paris) ; Pearson, T.J. (Caltech) ; Peiris, H.V. (University Coll. London) ; Perdereau, O. (Orsay) ; Perotto, L. (LPSC, Grenoble) ; Perrotta, F. (SISSA, Trieste) ; Pettorino, V. (Heidelberg U.) ; Piacentini, F. (Rome U.) ; Piat, M. (APC, Paris) ; Pierpaoli, E. (UCLA) ; Pietrobon, D. (Caltech) ; Plaszczynski, S. (Orsay) ; Pointecouteau, E. (Toulouse III U. ; IRAP, Toulouse) ; Polenta, G. (INFN, Rome2 ; Rome Observ.) ; Popa, L. (Bucharest, Inst. Space Science) ; Pratt, G.W. (DAPNIA, Saclay) ; Prezeau, G. (Caltech) ; Prunet, S. (Paris, Inst. Astrophys. ; Paris U., VI-VII) ; Puget, J.L. (Orsay) ; Rachen, J.P. (Nijmegen U. ; Garching, Max Planck Inst.) ; Reach, W.T. (Universities Space Research Assoc.) ; Rebolo, R. (IAC, La Laguna ; CSIC, Madrid ; Laguna U., Tenerife) ; Reinecke, M. (Garching, Max Planck Inst.) ; Remazeilles, M. (Manchester U. ; Orsay ; APC, Paris) ; Renault, C. (LPSC, Grenoble) ; Renzi, A. (Rome U. ; INFN, Rome) ; Ristorcelli, I. (Toulouse III U. ; IRAP, Toulouse) ; Rocha, G. (Caltech) ; Rosset, C. (APC, Paris) ; Rossetti, M. (Milan U. ; Brera Observ.) ; Roudier, G. (APC, Paris ; LERMA, Ivry ; Caltech) ; Rowan-Robinson, M. (Imperial Coll., London) ; Rubino-Martin, J.A. (IAC, La Laguna ; Laguna U., Tenerife) ; Rusholme, B. (Caltech) ; Sandri, M. (Bologna Observ.) ; Santos, D. (LPSC, Grenoble) ; Savelainen, M. (Helsinki U. ; Helsinki Inst. of Phys.) ; Savini, G. (University Coll. London) ; Scott, D. (British Columbia U.) ; Seiffert, M.D. (Caltech) ; Shellard, E.P.S. (Cambridge U., DAMTP) ; Shiraishi, M. (Padua U. ; INFN, Padua) ; Spencer, L.D. (Cardiff U.) ; Stolyarov, V. (Cambridge U. ; Cambridge U., KICC ; Stavropol, Astrophys. Observ.) ; Stompor, R. (APC, Paris) ; Sudiwala, R. (Cardiff U.) ; Sunyaev, R. (Garching, Max Planck Inst. ; Moscow, Space Res. Inst.) ; Sutton, D. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Suur-Uski, A.S. (Helsinki U. ; Helsinki Inst. of Phys.) ; Sygnet, J.F. (Paris, Inst. Astrophys.) ; Tauber, J.A. (ESTEC, Noordwijk) ; Terenzi, L. (Facolta di Ingegneria, Rome ; Bologna Observ.) ; Toffolatti, L. (Oviedo U. ; Cantabria Inst. of Phys. ; Bologna Observ.) ; Tomasi, M. (Milan U. ; Brera Observ.) ; Tristram, M. (Orsay) ; Trombetti, T. (Bologna Observ.) ; Tucci, M. (Geneva U.) ; Tuovinen, J. (Trinity Coll., Dublin) ; Valenziano, L. (Bologna Observ.) ; Valiviita, J. (Helsinki U. ; Helsinki Inst. of Phys.) ; Van Tent, B. (Orsay) ; Vielva, P. (Cantabria Inst. of Phys.) ; Villa, F. (Bologna Observ.) ; Wade, L.A. (Caltech) ; Wandelt, B.D. (Paris, Inst. Astrophys. ; Paris U., VI-VII ; Illinois U., Urbana) ; Wehus, I.K. (Caltech) ; White, M. (UC, Berkeley) ; Yvon, D. (DAPNIA, Saclay) ; Zacchei, A. (Trieste Observ.) ; Zibin, J.P. (British Columbia U.) ; Zonca, A. (UC, Santa Barbara)

Publication 2016-09-20
Imprint 07 Feb 2015
Number of pages 65
Note 68 pages, 59 figures, 18 tables; updates to match the published version
In: Astron. Astrophys. 594 (2016) A20
DOI 10.1051/0004-6361/201525898
Subject category Astrophysics and Astronomy
Abstract We present the implications for cosmic inflation of the Planck measurements of the cosmic microwave background (CMB) anisotropies in both temperature and polarization based on the full Planck survey. The Planck full mission temperature data and a first release of polarization data on large angular scales measure the spectral index of curvature perturbations to be $n_\mathrm{s} = 0.968 \pm 0.006$ and tightly constrain its scale dependence to $d n_s/d \ln k =-0.003 \pm 0.007$ when combined with the Planck lensing likelihood. When the high-$\ell$ polarization data is included, the results are consistent and uncertainties are reduced. The upper bound on the tensor-to-scalar ratio is $r_{0.002} < 0.11$ (95% CL), consistent with the B-mode polarization constraint $r< 0.12$ (95% CL) obtained from a joint BICEP2/Keck Array and Planck analysis. These results imply that $V(\phi) \propto \phi^2$ and natural inflation are now disfavoured compared to models predicting a smaller tensor-to-scalar ratio, such as $R^2$ inflation. Three independent methods reconstructing the primordial power spectrum are investigated. The Planck data are consistent with adiabatic primordial perturbations. We investigate inflationary models producing an anisotropic modulation of the primordial curvature power spectrum as well as generalized models of inflation not governed by a scalar field with a canonical kinetic term. The 2015 results are consistent with the 2013 analysis based on the nominal mission data.
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