Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity

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. Benoît, A. Benoit-Lévy, J. -P. Bernard, M. Bersanelli, P. Bielewicz, J. BobinJacob Bock, A. Bonaldi, L. Bonavera, J. R. Bond, J. Borrill, F. R. Bouchet, M. Bridges, M. Bucher, C. Burigana, Robb Butler, J. -F. Cardoso, A. Catalano, A. Challinor, A. Chamballu, Lung-Yih Chiang, H. C. 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, R. D. Davies, Rebecca Davis, P. de Bernardis, A. de Rosa, G. de Zotti, J. Delabrouille, J. -M. Delouis, F. -X. Désert, J. M. Diego, H. Dole, S. Donzelli, O. Doré, M. Douspis, A. Ducout, J. Dunkley, X. Dupac, G. Efstathiou, F. Elsner, T. A. Enßlin, H. K. Eriksen, J. Fergusson, F. Finelli, O. Forni, M. Frailis, E. Franceschi, S. Galeotta, K. Ganga, M. Giard, Y. Giraud-Héraud, J. González-Nuevo, K. M. Górski, S. Gratton, A. Gregorio, A. Gruppuso, F. K. Hansen, D. Hanson, D. Harrison, A. Heavens, S. Henrot-Versillé, C. Hernández-Monteagudo, D. Herranz, Steen Hildebrandt, E. Hivon, M. Hobson, W. A. Holmes, Allan Hornstrup, W. Hovest, K. M. Huffenberger, T. R. Jaffe, A. H. Jaffe, W. C. Jones, M. Juvela, E. Keihänen, R. Keskitalo, T. S. Kisner, J. Knoche, M. Kunz, H. Kurki-Suonio, F. Lacasa, G. Lagache, A. Lähteenmäki, J. -M. Lamarre, A. Lasenby, R. J. Laureijs, C. R. Lawrence, J. P. Leahy, R. Leonardi, J. Lesgourgues, A. Lewis, M. Liguori, P. B. Lilje, Michael Linden-Vørnle, M. López-Caniego, P. M. Lubin, J. F. Macías-Pérez, B. Maffei, D. Maino, N. Mandolesi, A. Mangilli, D. Marinucci, M. Maris, D. J. Marshall, P. G. Martin, E. Martínez-González, S. Masi, S. Matarrese, F. Matthai, P. Mazzotta, A. Melchiorri, L. Mendes, A. Mennella, M. Migliaccio, S. Mitra, M. -A. Miville-Deschênes, A. Moneti, L. Montier, G. Morgante, D. Mortlock, A. Moss, D. Munshi, P. Naselsky, P. Natoli, C. B. Netterfield, Hans Ulrik Nørgaard-Nielsen, F. Noviello, D. Novikov, Igor Dmitrievich Novikov, S. Osborne, Carol Anne Oxborrow, F. Paci, L. Pagano, F. Pajot, D. Paoletti, 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. Prézeau, S. Prunet, J. -L. Puget, J. P. Rachen, B. Racine, R. Rebolo, M. Reinecke, M. Remazeilles, C. Renault, A. Renzi, S. Ricciardi, T. Riller, I. Ristorcelli, G. Rocha, C. Rosset, G. Roudier, J. A. Rubiño-Martín, B. Rusholme, M. Sandri, D. Santos, G. Savini, D. Scott, M. D. Seiffert, E. P. S. Shellard, K. Smith, 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, M. Tristram, M. Tucci, J. Tuovinen, L. Valenziano, J. Valiviita, B. Van Tent, J. Varis, P. Vielva, Frank Villa, N. Vittorio, L. A. Wade, B. D. Wandelt, S. D. M. White, M. White, D. Yvon, A. Zacchei, A. Zonca

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Abstract

The Planck nominal mission cosmic microwave background (CMB) maps yield unprecedented constraints on primordial non-Gaussianity (NG).Using three optimal bispectrum estimators, separable template-fitting (KSW), binned, and modal, we obtain consistent values for the primordiallocal, equilateral, and orthogonal bispectrum amplitudes, quoting as our final result f local/NL = 2.7± 5.8, f equil/NL = -42 ± 75, and f ortho/NL = -25 ± 39( 68% CL statistical). Non-Gaussianity is detected in the data; using skew-C statistics we find a nonzero bispectrum from residual point sources, and the integrated-Sachs-Wolfe-lensing bispectrum at a level expected in the ΛCDM scenario. The results are based on comprehensive crossvalidationof these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensivesuite of tests, and are confirmed by skew-C, wavelet bispectrum and Minkowski functional estimators. Beyond estimates of individual shapeamplitudes, we present model-independent, three-dimensional reconstructions of the Planck CMB bispectrum and thus derive constraints onearly-Universe scenarios that generate primordial NG, including general single-field models of inflation, excited initial states (non-Bunch-Daviesvacua), and directionally-dependent vector models. We provide an initial survey of scale-dependent feature and resonance models. These results bound both general single-field and multi-field model parameter ranges, such as the speed of sound, cs ≥0.02 (95% CL), in an eective fieldtheory parametrization, and the curvaton decay fraction rD ≥0.15 (95% CL). The Planck data significantly limit the viable parameter space of theekpyrotic/cyclic scenarios. The amplitude of the four-point function in the local model τNL < 2800 (95% CL). Taken together, these constraintsrepresent the highest precision tests to date of physical mechanisms for the origin of cosmic structure.
Original languageEnglish
Article numberA24
JournalAstronomy & Astrophysics
Volume571
Number of pages58
ISSN0004-6361
DOIs
Publication statusPublished - 2013

Keywords

  • Cosmic background radiation
  • Cosmology: observations
  • Cosmology: theory
  • Early Universe
  • Inflation
  • Methods: data analysis

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