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Planck 2013 results. XXII. Constraints on inflation

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 1 N. Bartolo E. Battaner K. Benabed A. Benoit 2 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 1 C. Burigana R. C. Butler E. Calabrese J.-F. Cardoso 1 A. Catalano 3, 4 A. Challinor A. Chamballu L. -Y Chiang H. C. Chiang P. R. Christensen S. Church D. L. Clements S. Colombi L. P. L. Colombo F. Couchot 5 A. Coulais 4 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 1 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 1 C. Gauthier 1 M. Giard G. Giardino Y. Giraud-Héraud 1 J. Gonzalez-Nuevo K. M. Gorski Serge Gratton A. Gregorio A. Gruppuso J. Hamann F. K. Hansen D. Hanson D. Harrison S. Henrot-Versille 5 C. Hernandez-Monteagudo D. Herranz S. R. Hildebrandt E. Hivon M. Hobson W. A. Holmes A. Hornstrup W. Hovest K. M. Huffenberger T. R. Jaffe A. H. Jaffe W. C. Jones M. Juvela E. Keihaanen R. Keskitalo T. S. Kisner R. Kneissl J. Knoche L. Knox M. Kunz H. Kurki-Suonio Guilaine Lagache A. Lahteenmaki J. -M. Lamarre 4 A. Lasenby R. J. Laureijs C. R. Lawrence S. Leach J. P. Leahy R. Leonardi J. Lesgourgues M. Liguori P. B. Lilje M. Linden-Vernle M. Lopez-Caniego P. M. Lubin J.F. Macias-Perez 3 B. Maffei D. Maino N. Mandolesi M. Maris D. J. Marshall P. G. Martin E. Martinez-Gonzalez S. Masi S. Matarrese F. Matthai P. Mazzotta P. R. Meinhold A. Melchiorri L. Mendes A. Mennella M. Migliaccio Subhabrata Mitra M. -A. Miville-Deschenes A. Moneti L. Montier G. Morgante D. Mortlock A. Moss D. Munshi 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 1 H. V. Peiris O. Perdereau 5 L. Perotto 3 F. Perrotta F. Piacentini M. Piat 1 E. Pierpaoli D. Pietrobon Stéphane Plaszczynski 5 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 1 C. Renault 3 S. Ricciardi T. Riller I. Ristorcelli G. Rocha C. Rosset 1 G. Roudier 1, 4 M. Rowan-Robinson J. A. Rubino-Martin B. Rusholme M. Sandri D. Santos 3 M. Savelainen G. Savini D. Scott M. D. Seiffert E. P. S. Shellard L. D. Spencer Jean-Luc Starck V. Stolyarov Radek Stompor 1 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 M. Tristram 5 M. Tucci 5 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 A. Zonca J. Tréguer-Goudineau 1
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 = 0.960 pm 0.0073, ruling out exact scale invariance at over 5 sigma. Planck establishes an upper bound on the tensor-to-scalar ratio at r < 0.11 (95% CL). Planck data 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 any 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 investigate whether the primordial power spectrum contains any features. A penalized likelihood approach suggests a feature near the smallest scales probed by Planck at an estimated significance of ~3 sigma after correction for the look elsewhere effect. Models with a parameterized oscillatory feature can 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_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 ~4 due to a moderate tension between l < 40 and higher multipoles. Nonetheless, the data are consistent with adiabatic initial conditions.
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P.A.R. Ade, N. Aghanim, C. Armitage-Caplan, M. Arnaud, M. Ashdown, et al.. Planck 2013 results. XXII. Constraints on inflation. Astronomy and Astrophysics - A&A, EDP Sciences, 2014, 571, pp.A22. ⟨10.1051/0004-6361/201321569⟩. ⟨in2p3-00804182⟩

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