Planck 2013 results. XXII. Constraints on inflation - Archive ouverte HAL Access content directly
Journal Articles Astronomy and Astrophysics - A&A Year : 2014

Planck 2013 results. XXII. Constraints on inflation

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Planck Collaboration
  • Function : Author
P.A.R. Ade
  • Function : Author
N. Aghanim
  • Function : Author
C. Armitage-Caplan
  • Function : Author
M. Arnaud
  • Function : Author
M. Ashdown
  • Function : Author
F. Atrio-Barandela
  • Function : Author
J. Aumont
C. Baccigalupi
  • Function : Author
A. J. Banday
R. B. Barreiro
  • Function : Author
N. Bartolo
  • Function : Author
E. Battaner
  • Function : Author
K. Benabed
  • Function : Author
A. Benoit-Levy
  • Function : Author
J. -P. Bernard
  • Function : Author
M. Bersanelli
  • Function : Author
P. Bielewicz
  • Function : Author
J. Bobin
  • Function : Author
J. J. Bock
  • Function : Author
A. Bonaldi
  • Function : Author
J. R. Bond
  • Function : Author
J. Borrill
  • Function : Author
F. R. Bouchet
M. Bridges
  • Function : Author
C. Burigana
  • Function : Author
R. C. Butler
  • Function : Author
E. Calabrese
  • Function : Author
J.-F. Cardoso
A. Challinor
  • Function : Author
A. Chamballu
  • Function : Author
L. -y Chiang
  • Function : Author
H. C. Chiang
  • Function : Author
P. R. Christensen
  • Function : Author
S. Church
  • Function : Author
D. L. Clements
  • Function : Author
S. Colombi
  • Function : Author
L. P. L. Colombo
  • Function : Author
F. Couchot
B. P. Crill
  • Function : Author
A. Curto
  • Function : Author
F. Cuttaia
  • Function : Author
L. Danese
  • Function : Author
R. D. Davies
  • Function : Author
R. J. Davis
  • Function : Author
P. de Bernardis
  • Function : Author
A. de Rosa
  • Function : Author
G. de Zotti
  • Function : Author
J. -M. Delouis
  • Function : Author
F. -X. Desert
  • Function : Author
C. Dickinson
  • Function : Author
J. M. Diego
  • Function : Author
H. Dole
  • Function : Author
S. Donzelli
  • Function : Author
O. Dore
  • Function : Author
M. Douspis
  • Function : Author
J. Dunkley
  • Function : Author
X. Dupac
  • Function : Author
G. Efstathiou
  • Function : Author
T. A. Ensslin
  • Function : Author
H. K. Eriksen
  • Function : Author
F. Finelli
  • Function : Author
O. Forni
M. Frailis
  • Function : Author
E. Franceschi
  • Function : Author
S. Galeotta
  • Function : Author
M. Giard
  • Function : Author
G. Giardino
  • Function : Author
  • PersonId : 756021
  • IdRef : 034653848
J. Gonzalez-Nuevo
  • Function : Author
K. M. Gorski
  • Function : Author
Serge Gratton
  • Function : Author
A. Gregorio
  • Function : Author
A. Gruppuso
  • Function : Author
J. Hamann
  • Function : Author
F. K. Hansen
  • Function : Author
D. Hanson
  • Function : Author
D. Harrison
C. Hernandez-Monteagudo
  • Function : Author
D. Herranz
  • Function : Author
S. R. Hildebrandt
  • Function : Author
E. Hivon
  • Function : Author
M. Hobson
W. A. Holmes
  • Function : Author
A. Hornstrup
  • Function : Author
W. Hovest
  • Function : Author
K. M. Huffenberger
  • Function : Author
T. R. Jaffe
  • Function : Author
A. H. Jaffe
  • Function : Author
W. C. Jones
  • Function : Author
M. Juvela
  • Function : Author
E. Keihaanen
  • Function : Author
R. Keskitalo
  • Function : Author
T. S. Kisner
  • Function : Author
R. Kneissl
  • Function : Author
J. Knoche
  • Function : Author
L. Knox
  • Function : Author
M. Kunz
  • Function : Author
H. Kurki-Suonio
  • Function : Author
Guilaine Lagache
A. Lahteenmaki
  • Function : Author
A. Lasenby
  • Function : Author
R. J. Laureijs
  • Function : Author
C. R. Lawrence
  • Function : Author
S. Leach
  • Function : Author
J. P. Leahy
  • Function : Author
R. Leonardi
  • Function : Author
J. Lesgourgues
  • Function : Author
M. Liguori
  • Function : Author
P. B. Lilje
  • Function : Author
M. Linden-Vernle
  • Function : Author
M. Lopez-Caniego
  • Function : Author
P. M. Lubin
  • Function : Author
B. Maffei
  • Function : Author
D. Maino
  • Function : Author
N. Mandolesi
  • Function : Author
M. Maris
  • Function : Author
D. J. Marshall
  • Function : Author
P. G. Martin
  • Function : Author
E. Martinez-Gonzalez
  • Function : Author
S. Masi
  • Function : Author
S. Matarrese
  • Function : Author
F. Matthai
  • Function : Author
P. Mazzotta
  • Function : Author
P. R. Meinhold
  • Function : Author
A. Melchiorri
  • Function : Author
L. Mendes
  • Function : Author
A. Mennella
  • Function : Author
M. Migliaccio
  • Function : Author
Subhabrata Mitra
  • Function : Author
M. -A. Miville-Deschenes
A. Moneti
  • Function : Author
L. Montier
  • Function : Author
G. Morgante
  • Function : Author
D. Mortlock
  • Function : Author
A. Moss
  • Function : Author
D. Munshi
  • Function : Author
P. Naselsky
  • Function : Author
F. Nati
P. Natoli
  • Function : Author
C. B. Netterfield
  • Function : Author
H. U. Norgaard-Nielsen
  • Function : Author
F. Noviello
  • Function : Author
D. Novikov
  • Function : Author
I. Novikov
  • Function : Author
I. J. O'Dwyer
  • Function : Author
S. Osborne
  • Function : Author
C. A. Oxborrow
  • Function : Author
F. Paci
  • Function : Author
L. Pagano
  • Function : Author
F. Pajot
R. Paladini
S. Pandolfi
  • Function : Author
D. Paoletti
  • Function : Author
B. Partridge
  • Function : Author
F. Pasian
  • Function : Author
H. V. Peiris
  • Function : Author
L. Perotto
F. Perrotta
  • Function : Author
F. Piacentini
  • Function : Author
E. Pierpaoli
  • Function : Author
D. Pietrobon
  • Function : Author
E. Pointecouteau
G. Polenta
  • Function : Author
N. Ponthieu
  • Function : Author
L. Popa
  • Function : Author
T. Poutanen
  • Function : Author
G. W. Pratt
  • Function : Author
G. Prezeau
  • Function : Author
S. Prunet
J. -L. Puget
  • Function : Author
J. P. Rachen
  • Function : Author
R. Rebolo
  • Function : Author
M. Reinecke
  • Function : Author
S. Ricciardi
  • Function : Author
T. Riller
  • Function : Author
I. Ristorcelli
  • Function : Author
G. Rocha
  • Function : Author
M. Rowan-Robinson
  • Function : Author
J. A. Rubino-Martin
  • Function : Author
B. Rusholme
  • Function : Author
M. Sandri
  • Function : Author
M. Savelainen
  • Function : Author
G. Savini
  • Function : Author
D. Scott
  • Function : Author
M. D. Seiffert
  • Function : Author
E. P. S. Shellard
  • Function : Author
L. D. Spencer
  • Function : Author
Jean-Luc Starck
  • Function : Author
  • PersonId : 850921
V. Stolyarov
Radek Stompor
R. Sudiwala
  • Function : Author
R. Sunyaev
  • Function : Author
F. Sureau
  • Function : Author
D. Sutton
  • Function : Author
A. -S. Suur-Uski
  • Function : Author
J. -F. Sygnet
  • Function : Author
J. A. Tauber
  • Function : Author
D. Tavagnacco
  • Function : Author
L. Terenzi
  • Function : Author
L. Toffolatti
  • Function : Author
M. Tomasi
  • Function : Author
J. Tuovinen
  • Function : Author
L. Valenziano
  • Function : Author
J. Valiviita
  • Function : Author
B. van Tent
  • Function : Author
J. Varis
  • Function : Author
P. Vielva
  • Function : Author
Francesca Villa
  • Function : Author
N. Vittorio
  • Function : Author
L. A. Wade
  • Function : Author
B. D. Wandelt
  • Function : Author
M. White
  • Function : Author
A. Wilkinson
  • Function : Author
D. Yvon
  • Function : Author
A. Zacchei
  • Function : Author
A. Zonca
  • Function : Author

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.

Dates and versions

in2p3-00804182 , version 1 (01-08-2022)

Identifiers

Cite

Planck Collaboration, P.A.R. Ade, N. Aghanim, C. Armitage-Caplan, M. Arnaud, et al.. Planck 2013 results. XXII. Constraints on inflation. Astronomy and Astrophysics - A&A, 2014, 571, pp.A22. ⟨10.1051/0004-6361/201321569⟩. ⟨in2p3-00804182⟩
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