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<i>Planck</i>2013 results. XVI. Cosmological parameters

P. A. R. AdeSchool of Physics and Astronomy, Cardiff University, Queens Buildings, The Parade, Cardiff CF24 3AA, UKN. AghanimInstitut d'Astrophysique SpatialeC. Armitage-CaplanSub-Department of Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, UKM. ArnaudCommissariat à l'Énergie Atomique et aux Énergies AlternativesM. AshdownAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UKF. Atrio‐BarandelaDepartamento de Física Fundamental, Facultad de Ciencias, Universidad de Salamanca, 37008 Salamanca, SpainJ. AumontCentre National de la Recherche ScientifiqueC. BaccigalupiSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyA. J. BandayUniversité Fédérale de Toulouse Midi-PyrénéesR. B. BarreiroInstituto de Física de CantabriaJ. G. BartlettAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10, rue Alice Domon et Léonie Duquet75205Paris Cedex 13FranceE. BattanerUniversity of Granada, Departamento de Física Teórica y del Cosmos, Facultad de Ciencias, 18071 Granada, SpainK. BenabedInstitut d'Astrophysique de Paris, CNRS UMR7095, 98bis Bd Arago, 75014 Paris, FranceA. Benoı̂tInstitut d'Astrophysique de Paris, CNRS UMR7095, 98bis Bd Arago, 75014 Paris, FranceA. Benoit-LévyUPMC Univ Paris 06, UMR7095, 98bis Boulevard Arago, 75014 Paris, FranceJ. P. BernardUniversité Fédérale de Toulouse Midi-PyrénéesM. BersanelliINAF/IASF Milano, via E. Bassini 15, 20133 Milano, ItalyP. BielewiczSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyJ. BobinDélégation Paris 7J. J. BockJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. BonaldiJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKJ. R. BondCITA, University of Toronto, 60 St. George St., Toronto ON M5S 3H8, CanadaJ. BorrillSpace Sciences Laboratory, University of California, Berkeley, California, USAF. R. BouchetUPMC Univ Paris 06, UMR7095, 98bis Boulevard Arago, 75014 Paris, FranceM. BridgesInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKM. BucherCommissariat à l'Énergie Atomique et aux Énergies AlternativesC. BuriganaDipartimentodi Fisica e Scienze della Terra, Università di Ferrara, via Saragat 1, 44122 Ferrara, ItalyR. C. ButlerINAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyE. CalabreseSub-Department of Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, UKB. CappelliniINAF/IASF Milano, via E. Bassini 15, 20133 Milano, ItalyJ.-F. CardosoInstitut d'Astrophysique de ParisA. CatalanoLERMA, CNRS, Observatoire de Paris, 61 Avenue de l'Observatoire, 75014 Paris, FranceA. ChallinorInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKA. ChamballuCommissariat à l'Énergie Atomique et aux Énergies AlternativesRanga‐Ram CharyInfrared Processing and Analysis CenterX. ChenInfrared Processing and Analysis Center, California Institute of Technology, Pasadena CA 91125, USAH. C. ChiangDepartment of Physics, Princeton University, Princeton, New Jersey, USAL.-Y ChiangInstitute of Astronomy and Astrophysics, Academia Sinica, 106 Taipei, TaiwanP. R. ChristensenS. ChurchStanford University, Dept of Physics, Varian Physics Bldg, 382 via Pueblo Mall, Stanford, California, USAD. L. ClementsImperial College London, Astrophysics group, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UKS. ColombiInstitut d'Astrophysique de Paris, CNRS UMR7095, 98bis Bd Arago, 75014 Paris, FranceL. P. L. ColomboDepartment of Physics and Astronomy, Dana and David Dornsife College of Letter, Arts and Sciences, University of Southern California, Los Angeles CA 90089, USAF. CouchotLAL, Université Paris-Sud, CNRS/IN2P3, 91405 Orsay, FranceA. CoulaisLERMA, CNRS, Observatoire de Paris, 61 Avenue de l'Observatoire, 75014 Paris, FranceB. P. CrillJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAA. CurtoInstituto de Física de CantabriaF. CuttaiaINAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyL. DaneseSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyR. D. DaviesJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKR. J. DavisJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKP. de BernardisDipartimento di Fisica, Università La Sapienza, P.le A. Moro 2, 00185 Roma, ItalyA. de RosaINAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyG. de ZottiINAF – Osservatorio Astronomico di Padova, Vicolo dell'Osservatorio 5, 35122 Padova, ItalyJ. DelabrouilleUniversité Paris CitéJ.‐M. DelouisSorbonne UniversitéF.–X. DésertUniversité Joseph FourierC. DickinsonJodrell Bank Centre for Astrophysics, Alan Turing Building, School of Physics and Astronomy, The University of Manchester, Oxford Road, Manchester M13 9PL, UKJ. M. DiegoInstituto de Física de CantabriaK. DolagMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyH. DoleInstitut Universitaire de France, 103 bd Saint-Michel, 75005 Paris, FranceS. DonzelliINAF/IASF Milano, via E. Bassini 15, 20133 Milano, ItalyO. DoréCalifornia Institute of Technology, Pasadena, California, USAM. DouspisInstitut d'Astrophysique SpatialeJ. DunkleySub-Department of Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, UKX. DupacEuropean Space Agency, ESAC, Planck Science Office, Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, 28691 Madrid, SpainG. EfstathiouInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKF. ElsnerSorbonne UniversitéT. A. EnßlinMax-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, 85741 Garching, GermanyH. K. EriksenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0315 Oslo, NorwayF. Finelli⋆INAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyO. ForniCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceM. FrailisINAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyA. A. FraisseDepartment of Physics, Princeton University, Princeton, New Jersey, USAE. FranceschiINAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyT. GaierJet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California, USAS. GaleottaINAF – Osservatorio Astronomico di Trieste, via G.B. Tiepolo 11, Trieste, ItalyS. GalliInstitut d'Astrophysique de ParisK. GangaAPC, AstroParticule et Cosmologie, Université Paris Diderot, CNRS/IN2P3, CEA/lrfu, Observatoire de Paris, Sorbonne Paris Cité, 10, rue Alice Domon et Léonie Duquet75205Paris Cedex 13FranceM. GiardCNRS, IRAP, 9 Av. colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceG. GiardinoEuropean Space Agency, ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The NetherlandsY. Giraud–HéraudSorbonne Paris CitéE. GjerløwInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0315 Oslo, NorwayJ. González-NuevoSISSA, Astrophysics Sector, via Bonomea 265, 34136 Trieste, ItalyK. M. GórskiWarsaw University Observatory, Aleje Ujazdowskie 4, 00-478 Warszawa, PolandS. GrattonInstitute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA, UKA. GregorioDipartimento di Fisica, Università degli Studi di Trieste, via A. Valerio 2, 34127 Trieste, ItalyA. GruppusoINAF/IASF Bologna, via Gobetti 101, 40129 Bologna, ItalyJ. E. GudmundssonDepartment of Physics, Princeton University, Princeton, New Jersey, USAJ. HaïssinskiCentre National de la Recherche ScientifiqueJ. HamannTheory Division, PH-TH, CERN, 1211, Geneva 23, SwitzerlandF. K. HansenInstitute of Theoretical Astrophysics, University of Oslo, Blindern, 0315 Oslo, NorwayD. HansonCITA, University of Toronto, 60 St. George St., Toronto ON M5S 3H8, CanadaD. L. HarrisonKavli Institute for Cosmology Cambridge, Madingley Road, Cambridge CB3 0HA, UKS. Henrot–VersilléInstitut National de Physique Nucléaire et de Physique des ParticulesC. Hernández-MonteagudoCentro de Estudios de Física del Cosmos de Aragón (CEFCA), Plaza San Juan 1, planta 2, 44001 Teruel, SpainD. HerranzInstituto de Física de CantabriaS. R. HildebrandtCalifornia Institute of Technology, Pasadena, California, USAE. HivonInstitut d'Astrophysique de Paris, CNRS UMR7095, 98bis Bd Arago, 75014 Paris, FranceM. HobsonAstrophysics Group, Cavendish Laboratory, University of Cambridge, J J Thomson Avenue, Cambridge CB3 0HE, UK

2014en

Ochiq kirishBronza

ABI

Annotatsiya

This paper presents the first cosmological results based on Planck measurements of the cosmic microwave background (CMB) temperature and lensing-potential power spectra. We find that the Planck spectra at high multipoles ( > 40) are extremely well described by the standard spatiallyflat six-parameter CDM cosmology with a power-law spectrum of adiabatic scalar perturbations. Within the context of this cosmology, the Planck data determine the cosmological parameters to high precision: the angular size of the sound horizon at recombination, the physical densities of baryons and cold dark matter, and the scalar spectral index are estimated to be * = (1.04147 0.00062) 10 -2 , b h 2 = 0.02205 0.00028, c h 2 = 0.1199 0.0027, and n s = 0.9603 0.0073, respectively (note that in this abstract we quote 68% errors on measured parameters and 95% upper limits on other parameters). For this cosmology, we find a low value of the Hubble constant, H 0 = (67.3 1.2) km s -1 Mpc -1 , and a high value of the matter density parameter, m = 0.315 0.017. These values are in tension with recent direct measurements of H 0 and the magnituderedshift relation for Type Ia supernovae, but are in excellent agreement with geometrical constraints from baryon acoustic oscillation (BAO) surveys. Including curvature, we find that the Universe is consistent with spatial flatness to percent level precision using Planck CMB data alone. We use high-resolution CMB data together with Planck to provide greater control on extragalactic foreground components in an investigation of extensions to the six-parameter CDM model. We present selected results from a large grid of cosmological models, using a range of additional astrophysical data sets in addition to Planck and high-resolution CMB data. None of these models are favoured over the standard six-parameter CDM cosmology. The deviation of the scalar spectral index from unity is insensitive to the addition of tensor modes and to changes in the matter content of the Universe. We find an upper limit of r 0.002 < 0.11 on the tensor-to-scalar ratio. There is no evidence for additional neutrino-like relativistic particles beyond the three families of neutrinos in the standard model. Using BAO and CMB data, we find N eff = 3.30 0.27 for the effective number of relativistic degrees of freedom, and an upper limit of 0.23 eV for the sum of neutrino masses. Our results are in excellent agreement with big bang nucleosynthesis and the standard value of N eff = 3.046. We find no evidence for dynamical dark energy; using BAO and CMB data, the dark energy equation of state parameter is constrained to be w = -1.13 +0.13 -0.10 . We also use the Planck data to set limits on a possible variation of the fine-structure constant, dark matter annihilation and primordial magnetic fields. Despite the success of the six-parameter CDM model in describing the Planck data at high multipoles, we note that this cosmology does not provide a good fit to the temperature power spectrum at low multipoles. The unusual shape of the spectrum in the multipole range 20 < < 40 was seen previously in the WMAP data and is a real feature of the primordial CMB anisotropies. The poor fit to the spectrum at low multipoles is not of decisive significance, but is an "anomaly" in an otherwise self-consistent analysis of the Planck temperature data.

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DOI: 10.1051/0004-6361/201321591

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