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. Bobin; Jacob 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

doi:10.1051/0004-6361/201321554

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 resultflocal/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, c_s ≥0.02 (95% CL), in an eective fieldtheory parametrization, and the curvaton decay fraction r_D ≥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 τ_NL < 2800 (95% CL). Taken together, these constraintsrepresent the highest precision tests to date of physical mechanisms for the origin of cosmic structure.

Original language	English
Article number	A24
Journal	Astronomy and Astrophysics
Volume	571
Number of pages	58
ISSN	0004-6361
DOIs	https://doi.org/10.1051/0004-6361/201321554
Publication status	Published - 2013

Keywords

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

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Ade, 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., Benoît, A., Benoit-Lévy, A., Bernard, J. .-P., Bersanelli, M., Bielewicz, P., ... Zonca, A. (2013). Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity. Astronomy and Astrophysics, 571, Article A24. https://doi.org/10.1051/0004-6361/201321554

@article{6012a426b95f4fb5bed81d9fc1074d57,

title = "Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity",

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.",

keywords = "Cosmic background radiation, Cosmology: observations, Cosmology: theory, Early Universe, Inflation, Methods: data analysis",

author = "Ade, {P. A. R.} and N. Aghanim and C. Armitage-Caplan and M. Arnaud and M. Ashdown and F. Atrio-Barandela and J. Aumont and C. Baccigalupi and Banday, {A. J.} and Barreiro, {R. B.} and Bartlett, {J. G.} and N. Bartolo and E. Battaner and K. Benabed and A. Beno{\^i}t and A. Benoit-L{\'e}vy and Bernard, {J. -P.} and M. Bersanelli and P. Bielewicz and J. Bobin and Jacob Bock and A. Bonaldi and L. Bonavera and Bond, {J. R.} and J. Borrill and Bouchet, {F. R.} and M. Bridges and M. Bucher and C. Burigana and Robb Butler and Cardoso, {J. -F.} and A. Catalano and A. Challinor and A. Chamballu and Lung-Yih Chiang and Chiang, {H. C.} and Christensen, {P. R.} and S. Church and Clements, {D. L.} and S. Colombi and Colombo, {L. P. L.} and F. Couchot and A. Coulais and Crill, {B. P.} and A. Curto and F. Cuttaia and Davies, {R. D.} and Rebecca Davis and {de Bernardis}, P. and {de Rosa}, A. and {de Zotti}, G. and J. Delabrouille and Delouis, {J. -M.} and D{\'e}sert, {F. -X.} and Diego, {J. M.} and H. Dole and S. Donzelli and O. Dor{\'e} and M. Douspis and A. Ducout and J. Dunkley and X. Dupac and G. Efstathiou and F. Elsner and En{\ss}lin, {T. A.} and Eriksen, {H. K.} and J. Fergusson and F. Finelli and O. Forni and M. Frailis and E. Franceschi and S. Galeotta and K. Ganga and M. Giard and Y. Giraud-H{\'e}raud and J. Gonz{\'a}lez-Nuevo and G{\'o}rski, {K. M.} and S. Gratton and A. Gregorio and A. Gruppuso and Hansen, {F. K.} and D. Hanson and D. Harrison and A. Heavens and S. Henrot-Versill{\'e} and C. Hern{\'a}ndez-Monteagudo and D. Herranz and Steen Hildebrandt and E. Hivon and M. Hobson and Holmes, {W. A.} and Allan Hornstrup and W. Hovest and Huffenberger, {K. M.} and Jaffe, {T. R.} and Jaffe, {A. H.} and Jones, {W. C.} and M. Juvela and E. Keih{\"a}nen and R. Keskitalo and Kisner, {T. S.} and J. Knoche and M. Kunz and H. Kurki-Suonio and F. Lacasa and G. Lagache and A. L{\"a}hteenm{\"a}ki and Lamarre, {J. -M.} and A. Lasenby and Laureijs, {R. J.} and Lawrence, {C. R.} and Leahy, {J. P.} and R. Leonardi and J. Lesgourgues and A. Lewis and M. Liguori and Lilje, {P. B.} and Michael Linden-V{\o}rnle and M. L{\'o}pez-Caniego and Lubin, {P. M.} and Mac{\'i}as-P{\'e}rez, {J. F.} and B. Maffei and D. Maino and N. Mandolesi and A. Mangilli and D. Marinucci and M. Maris and Marshall, {D. J.} and Martin, {P. G.} and E. Mart{\'i}nez-Gonz{\'a}lez and S. Masi and S. Matarrese and F. Matthai and P. Mazzotta and A. Melchiorri and L. Mendes and A. Mennella and M. Migliaccio and S. Mitra and Miville-Desch{\^e}nes, {M. -A.} and A. Moneti and L. Montier and G. Morgante and D. Mortlock and A. Moss and D. Munshi and P. Naselsky and P. Natoli and Netterfield, {C. B.} and N{\o}rgaard-Nielsen, {Hans Ulrik} and F. Noviello and D. Novikov and Novikov, {Igor Dmitrievich} and S. Osborne and Oxborrow, {Carol Anne} and F. Paci and L. Pagano and F. Pajot and D. Paoletti and G. Patanchon and Peiris, {H. V.} and O. Perdereau and L. Perotto and F. Perrotta and F. Piacentini and M. Piat and E. Pierpaoli and D. Pietrobon and S. Plaszczynski and E. Pointecouteau and G. Polenta and N. Ponthieu and L. Popa and T. Poutanen and Pratt, {G. W.} and G. Pr{\'e}zeau and S. Prunet and Puget, {J. -L.} and Rachen, {J. P.} and B. Racine and R. Rebolo and M. Reinecke and M. Remazeilles and C. Renault and A. Renzi and S. Ricciardi and T. Riller and I. Ristorcelli and G. Rocha and C. Rosset and G. Roudier and Rubi{\~n}o-Mart{\'i}n, {J. A.} and B. Rusholme and M. Sandri and D. Santos and G. Savini and D. Scott and Seiffert, {M. D.} and Shellard, {E. P. S.} and K. Smith and Spencer, {L. D.} and Starck, {J. -L.} and V. Stolyarov and R. Stompor and R. Sudiwala and R. Sunyaev and F. Sureau and D. Sutton and Suur-Uski, {A. -S.} and Sygnet, {J. -F.} and Tauber, {J. A.} and D. Tavagnacco and L. Terenzi and L. Toffolatti and M. Tomasi and M. Tristram and M. Tucci and J. Tuovinen and L. Valenziano and J. Valiviita and {Van Tent}, B. and J. Varis and P. Vielva and Frank Villa and N. Vittorio and Wade, {L. A.} and Wandelt, {B. D.} and White, {S. D. M.} and M. White and D. Yvon and A. Zacchei and A. Zonca",

year = "2013",

doi = "10.1051/0004-6361/201321554",

language = "English",

volume = "571",

journal = "Astronomy and Astrophysics",

issn = "0004-6361",

publisher = "EDP Sciences",

}

Ade, PAR, Aghanim, N, Armitage-Caplan, C, Arnaud, M, Ashdown, M, Atrio-Barandela, F, Aumont, J, Baccigalupi, C, Banday, AJ, Barreiro, RB, Bartlett, JG, Bartolo, N, Battaner, E, Benabed, K, Benoît, A, Benoit-Lévy, A, Bernard, J-P, Bersanelli, M, Bielewicz, P, Bobin, J, Bock, J, Bonaldi, A, Bonavera, L, Bond, JR, Borrill, J, Bouchet, FR, Bridges, M, Bucher, M, Burigana, C, Butler, R, Cardoso, J-F, Catalano, A, Challinor, A, Chamballu, A, Chiang, L-Y, Chiang, HC, Christensen, PR, Church, S, Clements, DL, Colombi, S, Colombo, LPL, Couchot, F, Coulais, A, Crill, BP, Curto, A, Cuttaia, F, Davies, RD, Davis, R, de Bernardis, P, de Rosa, A, de Zotti, G, Delabrouille, J, Delouis, J-M, Désert, F-X, Diego, JM, Dole, H, Donzelli, S, Doré, O, Douspis, M, Ducout, A, Dunkley, J, Dupac, X, Efstathiou, G, Elsner, F, Enßlin, TA, Eriksen, HK, Fergusson, J, Finelli, F, Forni, O, Frailis, M, Franceschi, E, Galeotta, S, Ganga, K, Giard, M, Giraud-Héraud, Y, González-Nuevo, J, Górski, KM, Gratton, S, Gregorio, A, Gruppuso, A, Hansen, FK, Hanson, D, Harrison, D, Heavens, A, Henrot-Versillé, S, Hernández-Monteagudo, C, Herranz, D, Hildebrandt, S, Hivon, E, Hobson, M, Holmes, WA, Hornstrup, A, Hovest, W, Huffenberger, KM, Jaffe, TR, Jaffe, AH, Jones, WC, Juvela, M, Keihänen, E, Keskitalo, R, Kisner, TS, Knoche, J, Kunz, M, Kurki-Suonio, H, Lacasa, F, Lagache, G, Lähteenmäki, A, Lamarre, J-M, Lasenby, A, Laureijs, RJ, Lawrence, CR, Leahy, JP, Leonardi, R, Lesgourgues, J, Lewis, A, Liguori, M, Lilje, PB, Linden-Vørnle, M, López-Caniego, M, Lubin, PM, Macías-Pérez, JF, Maffei, B, Maino, D, Mandolesi, N, Mangilli, A, Marinucci, D, Maris, M, Marshall, DJ, Martin, PG, Martínez-González, E, Masi, S, Matarrese, S, Matthai, F, Mazzotta, P, Melchiorri, A, Mendes, L, Mennella, A, Migliaccio, M, Mitra, S, Miville-Deschênes, M-A, Moneti, A, Montier, L, Morgante, G, Mortlock, D, Moss, A, Munshi, D, Naselsky, P, Natoli, P, Netterfield, CB, Nørgaard-Nielsen, HU, Noviello, F, Novikov, D, Novikov, ID, Osborne, S, Oxborrow, CA, Paci, F, Pagano, L, Pajot, F, Paoletti, D, Patanchon, G, Peiris, HV, 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, GW, Prézeau, G, Prunet, S, Puget, J-L, Rachen, JP, Racine, B, Rebolo, R, Reinecke, M, Remazeilles, M, Renault, C, Renzi, A, Ricciardi, S, Riller, T, Ristorcelli, I, Rocha, G, Rosset, C, Roudier, G, Rubiño-Martín, JA, Rusholme, B, Sandri, M, Santos, D, Savini, G, Scott, D, Seiffert, MD, Shellard, EPS, Smith, K, Spencer, LD, Starck, J-L, Stolyarov, V, Stompor, R, Sudiwala, R, Sunyaev, R, Sureau, F, Sutton, D, Suur-Uski, A-S, Sygnet, J-F, Tauber, JA, 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, LA, Wandelt, BD, White, SDM, White, M, Yvon, D, Zacchei, A & Zonca, A 2013, 'Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity', Astronomy and Astrophysics, vol. 571, A24. https://doi.org/10.1051/0004-6361/201321554

TY - JOUR

T1 - Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity

AU - Ade, P. A. R.

AU - Aghanim, N.

AU - Armitage-Caplan, C.

AU - Arnaud, M.

AU - Ashdown, M.

AU - Atrio-Barandela, F.

AU - Aumont, J.

AU - Baccigalupi, C.

AU - Banday, A. J.

AU - Barreiro, R. B.

AU - Bartlett, J. G.

AU - Bartolo, N.

AU - Battaner, E.

AU - Benabed, K.

AU - Benoît, A.

AU - Benoit-Lévy, A.

AU - Bernard, J. -P.

AU - Bersanelli, M.

AU - Bielewicz, P.

AU - Bobin, J.

AU - Bock, Jacob

AU - Bonaldi, A.

AU - Bonavera, L.

AU - Bond, J. R.

AU - Borrill, J.

AU - Bouchet, F. R.

AU - Bridges, M.

AU - Bucher, M.

AU - Burigana, C.

AU - Butler, Robb

AU - Cardoso, J. -F.

AU - Catalano, A.

AU - Challinor, A.

AU - Chamballu, A.

AU - Chiang, Lung-Yih

AU - Chiang, H. C.

AU - Christensen, P. R.

AU - Church, S.

AU - Clements, D. L.

AU - Colombi, S.

AU - Colombo, L. P. L.

AU - Couchot, F.

AU - Coulais, A.

AU - Crill, B. P.

AU - Curto, A.

AU - Cuttaia, F.

AU - Davies, R. D.

AU - Davis, Rebecca

AU - de Bernardis, P.

AU - de Rosa, A.

AU - de Zotti, G.

AU - Delabrouille, J.

AU - Delouis, J. -M.

AU - Désert, F. -X.

AU - Diego, J. M.

AU - Dole, H.

AU - Donzelli, S.

AU - Doré, O.

AU - Douspis, M.

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PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Cosmic background radiation

KW - Cosmology: observations

KW - Cosmology: theory

KW - Early Universe

KW - Inflation

KW - Methods: data analysis

U2 - 10.1051/0004-6361/201321554

DO - 10.1051/0004-6361/201321554

M3 - Journal article

SN - 0004-6361

VL - 571

JO - Astronomy and Astrophysics

JF - Astronomy and Astrophysics

M1 - A24

ER -

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

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