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Planck 2015 results. XVII. Constraints on primordial non-Gaussianity

Ade, P.A.R.; Aghanim, N.; Arnaud, M.; Arroja, F.; Ashdown, M.; Aumont, J.; Baccigalupi, C.; Ballardini, M.; Banday, A.J.; Barreiro, R.B.; Bartolo, N.; Basak, S.; Battaner, E.; Benabed, K.; Benoît, A.; Benoit-Lévy, A.; Bernard, J.-P.; Bersanelli, M.; Bielewicz, P.; Bock, J.J.; Bonaldi, A.; Bonavera, L.; Bond, J.R.; Borrill, J.; Bouchet, F.R.; Boulanger, F.; Bucher, M.; Burigana, C.; Butler, R.C.; Calabrese, E.; Cardoso, J.-F.; Catalano, A.; Challinor, A.; Chamballu, A.; Chiang, H.C.; Christensen, P.R.; Church, S.; Clements, D.L.; Colombi, S.; Colombo, L.P.L.; Combet, C.; 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.; Désert, F.-X.; Diego, J.M.; Dole, H.; Donzelli, S.; Doré, O.; Douspis, M.; Ducout, A.; Dupac, X.; Efstathiou, G.; Elsner, F.; Enßlin, T.A.; Eriksen, H.K.; Fergusson, J.; Finelli, F.; Forni, O.; Frailis, M.; Fraisse, A.A.; Franceschi, E.; Frejsel, A.; Galeotta, S.; Galli, S.; Ganga, K.; Gauthier, C.; Ghosh, T.; Giard, M.; Giraud-Héraud, Y.; Gjerløw, E.; González-Nuevo, J.; Górski, K.M.; Gratton, S.; Gregorio, A.; Gruppuso, A.; Gudmundsson, J.E.; Hamann, J.; Hansen, F.K.; Hanson, D.; Harrison, D.L.; Heavens, A.; Helou, G.; Henrot-Versillé, S.; Hernández-Monteagudo, C.; Herranz, D.; Hildebrandt, S.R.; Hivon, E.; Hobson, M.; Holmes, W.A.; Hornstrup, A.; Hovest, W.; Huang, Z.; Huffenberger, K.M.; Hurier, G.; Jaffe, A.H.; Jaffe, T.R.; Jones, W.C.; Juvela, M.; Keihänen, E.; Keskitalo, R.; Kim, J.; Kisner, T.S.; Knoche, J.; Kunz, M.; Kurki-Suonio, H.; Lacasa, F.; Lagache, G.; Lähteenmäki, A.; Lamarre, J.-M.; Lasenby, A.; Lattanzi, M.; Lawrence, C.R.; Leonardi, R.; Lesgourgues, J.; Levrier, F.; Lewis, A.; Liguori, M.; Lilje, P.B.; Linden-Vørnle, M.; López-Caniego, M.; Lubin, P.M.; Macías-Pérez, J.F.; Maggio, G.; Maino, D.; Mandolesi, N.; Mangilli, A.; Marinucci, D.; Maris, M.; Martin, P.G.; Martínez-González, E.; Masi, S.; Matarrese, S.; McGehee, P.; Meinhold, P.R.; Melchiorri, A.; Mendes, L.; Mennella, A.; Migliaccio, M.; Mitra, S.; Miville-Deschênes, M.-A.; Moneti, A.; Montier, L.; Morgante, G.; Mortlock, D.; Moss, Adam; Münchmeyer, M.; Munshi, D.; Murphy, J.A.; Naselsky, P.; Nati, F.; Natoli, P.; Netterfield, C.B.; Nørgaard-Nielsen, H.U.; Noviello, F.; Novikov, D.; Novikov, I.; Oxborrow, C.A.; Paci, F.; Pagano, L.; Pajot, F.; Paoletti, D.; Pasian, F.; Patanchon, G.; Peiris, H.V.; Perdereau, O.; Perotto, L.; Perrotta, F.; Pettorino, V.; Piacentini, F.; Piat, M.; Pierpaoli, E.; Pietrobon, D.; Plaszczynski, S.; Pointecouteau, E.; Polenta, G.; Popa, L.; Pratt, G.W.; Prézeau, G.; Prunet, S.; Puget, J.-L.; Rachen, J.P.; Racine, B.; Rebolo, R.; Reinecke, M.; Remazeilles, M.; Renault, C.; Renzi, A.; Ristorcelli, I.; Rocha, G.; Rosset, C.; Rossetti, M.; Roudier, G.; Rubiño-Martín, J.A.; Rusholme, B.; Sandri, M.; Santos, D.; Savelainen, M.; Savini, G.; Scott, D.; Seiffert, M.D.; Shellard, E.P.S.; Shiraishi, M.; Smith, K.; Spencer, L.D.; Stolyarov, V.; Stompor, R.; Sudiwala, R.; Sunyaev, R.; Sutter, P.; Sutton, D.; Suur-Uski, A.-S.; Sygnet, J.-F.; Tauber, J.A.; Terenzi, L.; Toffolatti, L.; Tomasi, M.; Tristram, M.; Troja, A.; Tucci, M.; Tuovinen, J.; Valenziano, L.; Valiviita, J.; Van Tent, B.; Vielva, P.; Villa, F.; Wade, L.A.; Wandelt, B.D.; Wehus, I.K.; Yvon, D.; Zacchei, A.; Zonca, A.

Authors

P.A.R. Ade

N. Aghanim

M. Arnaud

F. Arroja

M. Ashdown

J. Aumont

C. Baccigalupi

M. Ballardini

A.J. Banday

R.B. Barreiro

N. Bartolo

S. Basak

E. Battaner

K. Benabed

A. Benoît

A. Benoit-Lévy

J.-P. Bernard

M. Bersanelli

P. Bielewicz

J.J. Bock

A. Bonaldi

L. Bonavera

J.R. Bond

J. Borrill

F.R. Bouchet

F. Boulanger

M. Bucher

C. Burigana

R.C. Butler

E. Calabrese

J.-F. Cardoso

A. Catalano

A. Challinor

A. Chamballu

H.C. Chiang

P.R. Christensen

S. Church

D.L. Clements

S. Colombi

L.P.L. Colombo

C. Combet

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

F.-X. Désert

J.M. Diego

H. Dole

S. Donzelli

O. Doré

M. Douspis

A. Ducout

X. Dupac

G. Efstathiou

F. Elsner

T.A. Enßlin

H.K. Eriksen

J. Fergusson

F. Finelli

O. Forni

M. Frailis

A.A. Fraisse

E. Franceschi

A. Frejsel

S. Galeotta

S. Galli

K. Ganga

C. Gauthier

T. Ghosh

M. Giard

Y. Giraud-Héraud

E. Gjerløw

J. González-Nuevo

K.M. Górski

S. Gratton

A. Gregorio

A. Gruppuso

J.E. Gudmundsson

J. Hamann

F.K. Hansen

D. Hanson

D.L. Harrison

A. Heavens

G. Helou

S. Henrot-Versillé

C. Hernández-Monteagudo

D. Herranz

S.R. Hildebrandt

E. Hivon

M. Hobson

W.A. Holmes

A. Hornstrup

W. Hovest

Z. Huang

K.M. Huffenberger

G. Hurier

A.H. Jaffe

T.R. Jaffe

W.C. Jones

M. Juvela

E. Keihänen

R. Keskitalo

J. Kim

T.S. Kisner

J. Knoche

M. Kunz

H. Kurki-Suonio

F. Lacasa

G. Lagache

A. Lähteenmäki

J.-M. Lamarre

A. Lasenby

M. Lattanzi

C.R. Lawrence

R. Leonardi

J. Lesgourgues

F. Levrier

A. Lewis

M. Liguori

P.B. Lilje

M. Linden-Vørnle

M. López-Caniego

P.M. Lubin

J.F. Macías-Pérez

G. Maggio

D. Maino

N. Mandolesi

A. Mangilli

D. Marinucci

M. Maris

P.G. Martin

E. Martínez-González

S. Masi

S. Matarrese

P. McGehee

P.R. Meinhold

A. Melchiorri

L. Mendes

A. Mennella

M. Migliaccio

S. Mitra

M.-A. Miville-Deschênes

A. Moneti

L. Montier

G. Morgante

D. Mortlock

Adam Moss adam.moss@nottingham.ac.uk

M. Münchmeyer

D. Munshi

J.A. Murphy

P. Naselsky

F. Nati

P. Natoli

C.B. Netterfield

H.U. Nørgaard-Nielsen

F. Noviello

D. Novikov

I. Novikov

C.A. Oxborrow

F. Paci

L. Pagano

F. Pajot

D. Paoletti

F. Pasian

G. Patanchon

H.V. Peiris

O. Perdereau

L. Perotto

F. Perrotta

V. Pettorino

F. Piacentini

M. Piat

E. Pierpaoli

D. Pietrobon

S. Plaszczynski

E. Pointecouteau

G. Polenta

L. Popa

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

I. Ristorcelli

G. Rocha

C. Rosset

M. Rossetti

G. Roudier

J.A. Rubiño-Martín

B. Rusholme

M. Sandri

D. Santos

M. Savelainen

G. Savini

D. Scott

M.D. Seiffert

E.P.S. Shellard

M. Shiraishi

K. Smith

L.D. Spencer

V. Stolyarov

R. Stompor

R. Sudiwala

R. Sunyaev

P. Sutter

D. Sutton

A.-S. Suur-Uski

J.-F. Sygnet

J.A. Tauber

L. Terenzi

L. Toffolatti

M. Tomasi

M. Tristram

A. Troja

M. Tucci

J. Tuovinen

L. Valenziano

J. Valiviita

B. Van Tent

P. Vielva

F. Villa

L.A. Wade

B.D. Wandelt

I.K. Wehus

D. Yvon

A. Zacchei

A. Zonca



Abstract

The Planck full mission cosmic microwave background (CMB) temperature and E-mode polarization maps are analysed to obtain constraints on primordial non-Gaussianity (NG). Using three classes of 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 from temperature alone ƒlocalNL = 2.5 ± 5.7, ƒequilNL= -16 ± 70, , and ƒorthoNL = -34 ± 32 (68% CL, statistical). Combining temperature and polarization data we obtain ƒlocalNL = 0.8 ± 5.0, ƒequilNL= -4 ± 43, and ƒorthoNL = -26 ± 21 (68% CL, statistical). The results are based on comprehensive cross-validation of these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensive suite of tests, and are consistent with estimators based on measuring the Minkowski functionals of the CMB. The effect of time-domain de-glitching systematics on the bispectrum is negligible. In spite of these test outcomes we conservatively label the results including polarization data as preliminary, owing to a known mismatch of the noise model in simulations and the data. Beyond estimates of individual shape amplitudes, we present model-independent, three-dimensional reconstructions of the Planck CMB bispectrum and derive constraints on early universe scenarios that generate primordial NG, including general single-field models of inflation, axion inflation, initial state modifications, models producing parity-violating tensor bispectra, and directionally dependent vector models. We present a wide survey of scale-dependent feature and resonance models, accounting for the “look elsewhere” effect in estimating the statistical significance of features. We also look for isocurvature NG, and find no signal, but we obtain constraints that improve significantly with the inclusion of polarization. The primordial trispectrum amplitude in the local model is constrained to be

Journal Article Type Article
Publication Date 2016-10
Journal Astronomy & Astrophysics
Electronic ISSN 1432-0746
Publisher EDP Open
Peer Reviewed Peer Reviewed
Volume 594
Article Number A17
APA6 Citation Ade, P., Aghanim, N., Arnaud, M., Arroja, F., Ashdown, M., Aumont, J., …Zonca, A. (2016). Planck 2015 results. XVII. Constraints on primordial non-Gaussianity. Astronomy and Astrophysics, 594, https://doi.org/10.1051/0004-6361/201525836
DOI https://doi.org/10.1051/0004-6361/201525836
Keywords cosmic background radiation; cosmology: observations; cosmology: theory; early Universe; inflation; methods: data analysis
Publisher URL http://www.aanda.org/articles/aa/abs/2016/10/aa25836-15/aa25836-15.html
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information © ESO, 2016

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