Planck CollaborationAde, 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.Benoit, A.Benoit-Levy, A.Bernard, J. -P.Bersanelli, M.Bielewicz, P.Bobin, J.Bock, J. J.Bonaldi, A.Bonavera, L.Bond, J. R.Borrill, J.Bouchet, F. R.Bridges, M.Bucher, M.Burigana, C.Butler, R. C.Cardoso, J. -F.Catalano, A.Challinor, A.Chamballu, A.Chiang, H. C.Chiang, L. -YChristensen, 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.Desert, F. -X.Diego, J. M.Dole, H.Donzelli, S.Dore, O.Douspis, M.Ducout, A.Dunkley, J.Dupac, X.Efstathiou, G.Elsner, F.Ensslin, T. A.Eriksen, H. K.Fergusson, J.Finelli, F.Forni, O.Frailis, M.Franceschi, E.Galeotta, S.Ganga, K.Giard, M.Giraud-Heraud, Y.Gonzalez-Nuevo, J.Gorski, K. M.Gratton, S.Gregorio, A.Gruppuso, A.Hansen, F. K.Hanson, D.Harrison, D.Heavens, A.Henrot-Versille, S.Hernandez-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.Keihanen, E.Keskitalo, R.Kisner, T. S.Knoche, J.Knox, L.Kunz, M.Kurki-Suonio, H.Lacasa, F.Lagache, G.Lahteenmaki, A.Lamarre, J. -M.Lasenby, A.Laureijs, R. J.Lawrence, C. R.Leahy, J. P.Leonardi, R.Lesgourgues, J.Lewis, A.Liguori, M.Lilje, P. B.Linden-Vornle, M.Lopez-Caniego, M.Lubin, P. M.Macias-Perez, J. F.Maffei, B.Maino, D.Mandolesi, N.Mangilli, A.Marinucci, D.Maris, M.Marshall, D. J.Martin, P. G.Martinez-Gonzalez, 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-Deschenes, M. -A.Moneti, A.Montier, L.Morgante, G.Mortlock, D.Moss, A.Munshi, D.Murphy, J. A.Naselsky, P.Natoli, P.Netterfield, C. B.Norgaard-Nielsen, H. U.Noviello, F.Novikov, D.Novikov, I.Osborne, S.Oxborrowl, C. A.Paci, F.Pagano, L.Pajot, F.Paoletti, D.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.Prezeau, G.Prunet, S.Puget, J. -L.Rachen, J. P.Racine, B.Rebolo, R.Reinecke, M.Remazeilles, M.Renault, C.Renzi, A.Ricciardi, S.Riller, T.Ristorcelli, I.Rocha, G.Rosset, C.Roudier, G.Rubino-Martin, J. A.Rusholme, B.Sandri, M.Santos, D.Savini, G.Scott, D.Seiffert, M. D.Shellard, E. P. S.Smith, K.Spencer, L. D.Starck, J. -L.Stolyarov, V.Stompor, R.Sudiwala, R.Sunyaev, R.Sureau, F.Sutter, P.Sutton, D.Suur-Uski, A. -S.Sygnet, J. -F.Tauber, J. A.Tavagnacco, D.Terenzi, L.Toffolatti, L.Tomasi, M.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.White, S. D. M.Yvon, D.Zacchei, A.Zonca, A.2015-02-202015-02-202015-02-20201410.1051/0004-6361/201321554https://infoscience.epfl.ch/handle/20.500.14299/111592WOS:000345282600018The 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 primordial local, equilateral, and orthogonal bispectrum amplitudes, quoting as our final result f(NL)(local) = 2.7 +/- 5.8, f(NL)(equil) = -42 +/- 75, and f(NL)(ortho) = 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 CDM scenario. The results are based on comprehensive crossvalidation of these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensive suite of tests, and are confirmed by skew-C `, wavelet bispectrum and Minkowski functional estimators. Beyond estimates of individual shape amplitudes, we present model-independent, three-dimensional reconstructions of the Planck CMB bispectrum and thus derive constraints on early-Universe scenarios that generate primordial NG, including general single-field models of inflation, excited initial states (non-Bunch-Davies vacua), 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 e ff ective field theory parametrization, and the curvaton decay fraction rD 0 : 15 (95% CL). The Planck data significantly limit the viable parameter space of the ekpyrotic / cyclic scenarios. The amplitude of the four-point function in the local model NL < 2800 (95% CL). Taken together, these constraints represent the highest precision tests to date of physical mechanisms for the origin of cosmic structure.cosmic background radiationcosmology: observationscosmology: theoryearly Universeinflationmethods: data analysisConstraints on primordial non-Gaussianitytext::journal::journal article::research article