{ "id": "1303.5082", "version": "v2", "published": "2013-03-20T20:10:22.000Z", "updated": "2013-12-05T14:46:57.000Z", "title": "Planck 2013 results. XXII. Constraints on inflation", "authors": [ "Planck Collaboration", "P. A. R. Ade", "N. Aghanim", "C. Armitage-Caplan", "M. Arnaud", "M. Ashdown", "F. Atrio-Barandela", "J. Aumont", "C. Baccigalupi", "A. J. Banday", "R. B. Barreiro", "J. G. Bartlett", "N. Bartolo", "E. Battaner", "K. Benabed", "A. Benoit", "A. Benoit-Levy", "J. -P. Bernard", "M. Bersanelli", "P. Bielewicz", "J. Bobin", "J. J. Bock", "A. Bonaldi", "J. R. Bond", "J. Borrill", "F. R. Bouchet", "M. Bridges", "M. Bucher", "C. Burigana", "R. C. Butler", "E. Calabrese", "J. -F. Cardoso", "A. Catalano", "A. Challinor", "A. Chamballu", "H. C. Chiang", "L. -Y Chiang", "P. R. Christensen", "S. Church", "D. L. Clements", "S. Colombi", "L. P. L. Colombo", "F. Couchot", "A. Coulais", "B. P. Crill", "A. Curto", "F. Cuttaia", "L. Danese", "R. D. Davies", "R. J. Davis", "P. de Bernardis", "A. de Rosa", "G. de Zotti", "J. Delabrouille", "J. -M. Delouis", "F. -X. Desert", "C. Dickinson", "J. M. Diego", "H. Dole", "S. Donzelli", "O. Dore", "M. Douspis", "J. Dunkley", "X. Dupac", "G. Efstathiou", "T. A. Ensslin", "H. K. Eriksen", "F. Finelli", "O. Forni", "M. Frailis", "E. Franceschi", "S. Galeotta", "K. Ganga", "C. Gauthier", "M. Giard", "G. Giardino", "Y. Giraud-Hiraud", "J. Gonzalez-Nuevo", "K. M. Gorski", "S. Gratton", "A. Gregorio", "A. Gruppuso", "J. Hamann", "F. K. Hansen", "D. Hanson", "D. Harrison", "S. Henrot-Versille", "C. Hernandez-Monteagudo", "D. Herranz", "S. R. Hildebrandt", "E. Hivon", "M. Hobson", "W. A. Holmes", "A. Hornstrup", "W. Hovest", "K. M. Huffenberger", "A. H. Jaffe", "T. R. Jaffe", "W. C. Jones", "M. Juvela", "E. Keihanen", "R. Keskitalo", "T. S. Kisner", "R. Kneissl", "J. Knoche", "L. Knox", "M. Kunz", "H. Kurki-Suonio", "G. Lagache", "A. Lahteenmaki", "J. -M. Lamarre", "A. Lasenby", "R. J. Laureijs", "C. R. Lawrence", "S. Leach", "J. P. Leahy", "R. Leonardi", "J. Lesgourgues", "A. Lewis", "M. Liguori", "P. B. Lilje", "M. Linden-Vernle", "M. Lopez-Caniego", "P. M. Lubin", "J. F. Macias-Perez", "B. Maffei", "D. Maino", "N. Mandolesi", "M. Maris", "D. J. Marshall", "P. G. Martin", "E. Martinez-Gonzalez", "S. Masi", "M. Massardi", "S. Matarrese", "F. Matthai", "P. Mazzotta", "P. R. Meinhold", "A. Melchiorri", "L. Mendes", "A. Mennella", "M. Migliaccio", "S. Mitra", "M. -A. Miville-Deschenes", "A. Moneti", "L. Montier", "G. Morgante", "D. Mortlock", "A. Moss", "D. Munshi", "J. A. Murphy", "P. Naselsky", "F. Nati", "P. Natoli", "C. B. Netterfield", "H. U. Norgaard-Nielsen", "F. Noviello", "D. Novikov", "I. Novikov", "I. J. O'Dwyer", "S. Osborne", "C. A. Oxborrow", "F. Paci", "L. Pagano", "F. Pajot", "R. Paladini", "S. Pandolfi", "D. Paoletti", "B. Partridge", "F. Pasian", "G. Patanchon", "H. V. Peiris", "O. Perdereau", "L. Perotto", "F. Perrotta", "F. Piacentini", "M. Piat", "E. Pierpaoli", "D. Pietrobon", "S. Plaszczynski", "E. Pointecouteau", "G. Polenta", "N. Ponthieu", "L. Popa", "T. Poutanen", "G. W. Pratt", "G. Prezeau", "S. Prunet", "J. -L. Puget", "J. P. Rachen", "R. Rebolo", "M. Reinecke", "M. Remazeilles", "C. Renault", "S. Ricciardi", "T. Riller", "I. Ristorcelli", "G. Rocha", "C. Rosset", "G. Roudier", "M. Rowan-Robinson", "J. A. Rubino-Martin", "B. Rusholme", "M. Sandri", "D. Santos", "M. Savelainen", "G. Savini", "D. Scott", "M. D. Seiffert", "E. P. S. Shellard", "L. D. Spencer", "J. -L. Starck", "V. Stolyarov", "R. Stompor", "R. Sudiwala", "R. Sunyaev", "F. Sureau", "D. Sutton", "A. -S. Suur-Uski", "J. -F. Sygnet", "J. A. Tauber", "D. Tavagnacco", "L. Terenzi", "L. Toffolatti", "M. Tomasi", "J. Treguer-Goudineau", "M. Tristram", "M. Tucci", "J. Tuovinen", "L. Valenziano", "J. Valiviita", "B. Van Tent", "J. Varis", "P. Vielva", "F. Villa", "N. Vittorio", "L. A. Wade", "B. D. Wandelt", "M. White", "A. Wilkinson", "D. Yvon", "A. Zacchei", "J. P. Zibin", "A. Zonca" ], "comment": "44 pages, 25 figures, 12 tables; updated version", "categories": [ "astro-ph.CO" ], "abstract": "We 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 $n_s = 0.9603 \\pm 0.0073$, ruling out exact scale invariance at over 5 $\\sigma$. 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 $d n_s/d ln k = -0.0134 \\pm 0.0090$. Several analyses dropping the slow-roll approximation are carried out, including detailed model comparison and inflationary potential reconstruction. We also investigate whether the primordial power spectrum contains any features. We find that models with a parameterized oscillatory feature improve the fit $\\chi^2$ by ~ 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 bounds on $f_\\mathrm{NL}$ measured by Planck. The fractional primordial contribution of CDM isocurvature modes in the curvaton and axion scenarios has upper bounds of 0.25% or 3.9% (95% CL), respectively. In models with arbitrarily correlated CDM or neutrino isocurvature modes, an anticorrelation can improve $\\chi^2$ by approximatively 4 as a result of slightly lowering the theoretical prediction for the $\\ell<40$ multipoles relative to the higher multipoles. Nonetheless, the data are consistent with adiabatic initial conditions.", "revisions": [ { "version": "v2", "updated": "2013-12-05T14:46:57.000Z" } ], "analyses": { "keywords": [ "scalar spectral index", "nominal mission temperature anisotropy measurements", "planck nominal mission temperature anisotropy", "isocurvature modes", "primordial power spectrum contains" ], "tags": [ "journal article", "famous paper" ], "publication": { "doi": "10.1051/0004-6361/201321569", "journal": "Astronomy and Astrophysics", "year": 2014, "month": "Nov", "volume": 571 }, "note": { "typesetting": "TeX", "pages": 44, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1224747, "adsabs": "2014A&A...571A..22P" } } }