Planck 2015 results: XIII. Cosmological parameters

P. A R Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, N. Bartolo, E. Battaner, R. Battye, K. Benabed, A. Benoît, A. Benoit-Lévy, J. P. Bernard, M. Bersanelli, P. Bielewicz, J. J. Bock, A. BonaldiL. 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, R. R. Chary, H. C. Chiang, J. Chluba, P. R. Christensen, S. Church, D. L. Clements, S. Colombi, L. P L Colombo, C. Combet, A. Coulais, B. P. Crill, A. Curto, F. Cuttaia, L. Danese, R. D. Davies, R. J. Davis, P. De Bernardis, A. De Rosa, Giulia De Zotti, J. Delabrouille, F. X. Désert, E. Di Valentino, C. Dickinson, J. M. Diego, K. Dolag, H. Dole, S. Donzelli, O. Doré, M. Douspis, A. Ducout, J. Dunkley, X. Dupac, G. Efstathiou, F. Elsner, T. A. Enßlin, H. K. Eriksen, M. Farhang, J. Fergusson, F. Finelli, O. Forni, M. Frailis, A. A. Fraisse, E. Franceschi, A. Frejsel, S. Galeotta, S. Galli, K. Ganga, C. Gauthier, M. Gerbino, T. Ghosh, M. Giard, Y. Giraud-Héraud, E. Giusarma, 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, G. Helou, S. Henrot-Versillé, C. Hernández-Monteagudo, D. Herranz, S. R. Hildebrandt, E. Hivon, M. Hobson, W. A. Holmes, Allan 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, T. S. Kisner, R. Kneissl, J. Knoche, L. Knox, M. Kunz, H. Kurki-Suonio, G. Lagache, A. Lähteenmäki, J. M. Lamarre, A. Lasenby, M. Lattanzi, C. R. Lawrence, J. P. Leahy, R. Leonardi, J. Lesgourgues, F. Levrier, Annette May Lewis, M. Liguori, P. B. Lilje, Michael Linden-Vørnle, M. López-Caniego, P. M. Lubin, J. F. Maciás-Pérez, G. Maggio, D. Maino, N. Mandolesi, A. Mangilli, A. Marchini, M. Maris, P. G. Martin, M. Martinelli, E. Martínez-González, S. Masi, S. Matarrese, P. Mcgehee, P. R. Meinhold, A. Melchiorri, J. B. Melin, L. Mendes, A. Mennella, M. Migliaccio, M. Millea, Susanta Mitra, M. A. Miville-Deschênes, A. Moneti, L. Montier, G. Morgante, D. Mortlock, A. Moss, D. Munshi, J. A. Murphy, P. Naselsky, F. Nati, P. Natoli, C. B. Netterfield, Hans Ulrik Nørgaard-Nielsen, F. Noviello, D. Novikov, I. Novikov, Carol Anne Oxborrow, F. Paci, L. Pagano, Fernand Pajot, R. Paladini, D. Paoletti, B. Partridge, F. Pasian, G. Patanchon, T. J. Pearson, 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, W. T. Reach, R. Rebolo, M. Reinecke, M. Remazeilles, C. Renault, A. Renzi, I. Ristorcelli, G. Rocha, C. Rosset, M. Rossetti, G. Roudier, B. Rouillé D'orfeuil, M. Rowan-Robinson, J. A. Rubinõ-Martín, B. Rusholme, N. Said, V. Salvatelli, L. Salvati, M. Sandri, D. Santos, M. Savelainen, G. Savini, D. Scott, M. D. Seiffert, P. Serra, E. P S Shellard, L. D. Spencer, M. Spinelli, V. Stolyarov, R. Stompor, R. Sudiwala, R. Sunyaev, D. Sutton, A. S. Suur-Uski, J. F. Sygnet, J. A. Tauber, L. Terenzi, L. Toffolatti, M. Tomasi, M. Tristram, T. Trombetti, M. Tucci, J. Tuovinen, M. Türler, G. Umana, L. Valenziano, J. Valiviita, F. Van Tent, P. Vielva, F. Villa, L. A. Wade, B. D. Wandelt, I. K. Wehus, M. White, S. D M White, A. Wilkinson, D. Yvon, A. Zacchei, A. Zonca

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Abstract

This paper presents cosmological results based on full-mission Planck observations of temperature and polarization anisotropies of the cosmic microwave background (CMB) radiation. Our results are in very good agreement with the 2013 analysis of the Planck nominal-mission temperature data, but with increased precision. The temperature and polarization power spectra are consistent with the standard spatially-flat 6-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted "base ΛCDM" in this paper). From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H0 = (67.8 ± 0.9) km s-1Mpc-1, a matter density parameter Ωm = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. Note that in this abstract we quote 68% confidence limits on measured parameters and 95% upper limits on other parameters. We present the first results of polarization measurements with the Low Frequency Instrument at large angular scales. Combined with the Planck temperature and lensing data, these measurements give a reionization optical depth of τ = 0.066 ± 0.016, corresponding to a reionization redshift of \hbox{$z-{\rm re}=8.8{+1.7}-{-1.4}$}. These results are consistent with those from WMAP polarization measurements cleaned for dust emission using 353-GHz polarization maps from the High Frequency Instrument. We find no evidence for any departure from base ΛCDM in the neutrino sector of the theory; for example, combining Planck observations with other astrophysical data we find Neff = 3.15 ± 0.23 for the effective number of relativistic degrees of freedom, consistent with the value Neff = 3.046 of the Standard Model of particle physics. The sum of neutrino masses is constrained to â'mν <0.23 eV. The spatial curvature of our Universe is found to be very close to zero, with | ΩK | <0.005. Adding a tensor component as a single-parameter extension to base ΛCDM we find an upper limit on the tensor-to-scalar ratio of r0.002<0.11, consistent with the Planck 2013 results and consistent with the B-mode polarization constraints from a joint analysis of BICEP2, Keck Array, and Planck (BKP) data. Adding the BKP B-mode data to our analysis leads to a tighter constraint of r0.002 <0.09 and disfavours inflationarymodels with a V(φ) φ2 potential. The addition of Planck polarization data leads to strong constraints on deviations from a purely adiabatic spectrum of fluctuations. We find no evidence for any contribution from isocurvature perturbations or from cosmic defects. Combining Planck data with other astrophysical data, including Type Ia supernovae, the equation of state of dark energy is constrained to w =-1.006 ± 0.045, consistent with the expected value for a cosmological constant. The standard big bang nucleosynthesis predictions for the helium and deuterium abundances for the best-fit Planck base ΛCDM cosmology are in excellent agreement with observations. We also constraints on annihilating dark matter and on possible deviations from the standard recombination history. In neither case do we find no evidence for new physics. The Planck results for base ΛCDM are in good agreement with baryon acoustic oscillation data and with the JLA sample of Type Ia supernovae. However, as in the 2013 analysis, the amplitude of the fluctuation spectrum is found to be higher than inferred from some analyses of rich cluster counts and weak gravitational lensing. We show that these tensions cannot easily be resolved with simple modifications of the base ΛCDM cosmology. Apart from these tensions, the base ΛCDM cosmology provides an excellent description of the Planck CMB observations and many other astrophysical data sets.
Original languageEnglish
Article numberA13
JournalAstronomy & Astrophysics
Volume594
Number of pages63
ISSN0004-6361
DOIs
Publication statusPublished - 2016

Keywords

  • Cosmic background radiation
  • Cosmological parameters
  • Cosmology: observations
  • Cosmology: theory

Cite this

Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., ... Zonca, A. (2016). Planck 2015 results: XIII. Cosmological parameters. Astronomy & Astrophysics, 594, [A13]. https://doi.org/10.1051/0004-6361/201525830
Ade, P. A R ; Aghanim, N. ; Arnaud, M. ; Ashdown, M. ; Aumont, J. ; Baccigalupi, C. ; Banday, A. J. ; Barreiro, R. B. ; Bartlett, J. G. ; Bartolo, N. ; Battaner, E. ; Battye, R. ; 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. ; Chary, R. R. ; Chiang, H. C. ; Chluba, J. ; Christensen, P. R. ; Church, S. ; Clements, D. L. ; Colombi, S. ; Colombo, L. P L ; Combet, C. ; 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, Giulia ; Delabrouille, J. ; Désert, F. X. ; Di Valentino, E. ; Dickinson, C. ; Diego, J. M. ; Dolag, K. ; Dole, H. ; Donzelli, S. ; Doré, O. ; Douspis, M. ; Ducout, A. ; Dunkley, J. ; Dupac, X. ; Efstathiou, G. ; Elsner, F. ; Enßlin, T. A. ; Eriksen, H. K. ; Farhang, M. ; Fergusson, J. ; Finelli, F. ; Forni, O. ; Frailis, M. ; Fraisse, A. A. ; Franceschi, E. ; Frejsel, A. ; Galeotta, S. ; Galli, S. ; Ganga, K. ; Gauthier, C. ; Gerbino, M. ; Ghosh, T. ; Giard, M. ; Giraud-Héraud, Y. ; Giusarma, E. ; 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. ; Helou, G. ; Henrot-Versillé, S. ; Hernández-Monteagudo, C. ; Herranz, D. ; Hildebrandt, S. R. ; Hivon, E. ; Hobson, M. ; Holmes, W. A. ; Hornstrup, Allan ; Hovest, W. ; Huang, Z. ; Huffenberger, K. M. ; Hurier, G. ; Jaffe, A. H. ; Jaffe, T. R. ; Jones, W. C. ; Juvela, M. ; Keihänen, E. ; Keskitalo, R. ; Kisner, T. S. ; Kneissl, R. ; Knoche, J. ; Knox, L. ; Kunz, M. ; Kurki-Suonio, H. ; Lagache, G. ; Lähteenmäki, A. ; Lamarre, J. M. ; Lasenby, A. ; Lattanzi, M. ; Lawrence, C. R. ; Leahy, J. P. ; Leonardi, R. ; Lesgourgues, J. ; Levrier, F. ; Lewis, Annette May ; Liguori, M. ; Lilje, P. B. ; Linden-Vørnle, Michael ; López-Caniego, M. ; Lubin, P. M. ; Maciás-Pérez, J. F. ; Maggio, G. ; Maino, D. ; Mandolesi, N. ; Mangilli, A. ; Marchini, A. ; Maris, M. ; Martin, P. G. ; Martinelli, M. ; Martínez-González, E. ; Masi, S. ; Matarrese, S. ; Mcgehee, P. ; Meinhold, P. R. ; Melchiorri, A. ; Melin, J. B. ; Mendes, L. ; Mennella, A. ; Migliaccio, M. ; Millea, M. ; Mitra, Susanta ; Miville-Deschênes, M. A. ; Moneti, A. ; Montier, L. ; Morgante, G. ; Mortlock, D. ; Moss, A. ; Munshi, D. ; Murphy, J. A. ; Naselsky, P. ; Nati, F. ; Natoli, P. ; Netterfield, C. B. ; Nørgaard-Nielsen, Hans Ulrik ; Noviello, F. ; Novikov, D. ; Novikov, I. ; Oxborrow, Carol Anne ; Paci, F. ; Pagano, L. ; Pajot, Fernand ; Paladini, R. ; Paoletti, D. ; Partridge, B. ; Pasian, F. ; Patanchon, G. ; Pearson, T. J. ; 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. ; Reach, W. T. ; Rebolo, R. ; Reinecke, M. ; Remazeilles, M. ; Renault, C. ; Renzi, A. ; Ristorcelli, I. ; Rocha, G. ; Rosset, C. ; Rossetti, M. ; Roudier, G. ; Rouillé D'orfeuil, B. ; Rowan-Robinson, M. ; Rubinõ-Martín, J. A. ; Rusholme, B. ; Said, N. ; Salvatelli, V. ; Salvati, L. ; Sandri, M. ; Santos, D. ; Savelainen, M. ; Savini, G. ; Scott, D. ; Seiffert, M. D. ; Serra, P. ; Shellard, E. P S ; Spencer, L. D. ; Spinelli, M. ; Stolyarov, V. ; Stompor, R. ; Sudiwala, R. ; Sunyaev, R. ; Sutton, D. ; Suur-Uski, A. S. ; Sygnet, J. F. ; Tauber, J. A. ; Terenzi, L. ; Toffolatti, L. ; Tomasi, M. ; Tristram, M. ; Trombetti, T. ; Tucci, M. ; Tuovinen, J. ; Türler, M. ; Umana, G. ; Valenziano, L. ; Valiviita, J. ; Van Tent, F. ; Vielva, P. ; Villa, F. ; Wade, L. A. ; Wandelt, B. D. ; Wehus, I. K. ; White, M. ; White, S. D M ; Wilkinson, A. ; Yvon, D. ; Zacchei, A. ; Zonca, A. / Planck 2015 results: XIII. Cosmological parameters. In: Astronomy & Astrophysics. 2016 ; Vol. 594.
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title = "Planck 2015 results: XIII. Cosmological parameters",
abstract = "This paper presents cosmological results based on full-mission Planck observations of temperature and polarization anisotropies of the cosmic microwave background (CMB) radiation. Our results are in very good agreement with the 2013 analysis of the Planck nominal-mission temperature data, but with increased precision. The temperature and polarization power spectra are consistent with the standard spatially-flat 6-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted {"}base ΛCDM{"} in this paper). From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H0 = (67.8 ± 0.9) km s-1Mpc-1, a matter density parameter Ωm = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. Note that in this abstract we quote 68{\%} confidence limits on measured parameters and 95{\%} upper limits on other parameters. We present the first results of polarization measurements with the Low Frequency Instrument at large angular scales. Combined with the Planck temperature and lensing data, these measurements give a reionization optical depth of τ = 0.066 ± 0.016, corresponding to a reionization redshift of \hbox{$z-{\rm re}=8.8{+1.7}-{-1.4}$}. These results are consistent with those from WMAP polarization measurements cleaned for dust emission using 353-GHz polarization maps from the High Frequency Instrument. We find no evidence for any departure from base ΛCDM in the neutrino sector of the theory; for example, combining Planck observations with other astrophysical data we find Neff = 3.15 ± 0.23 for the effective number of relativistic degrees of freedom, consistent with the value Neff = 3.046 of the Standard Model of particle physics. The sum of neutrino masses is constrained to {\^a}'mν <0.23 eV. The spatial curvature of our Universe is found to be very close to zero, with | ΩK | <0.005. Adding a tensor component as a single-parameter extension to base ΛCDM we find an upper limit on the tensor-to-scalar ratio of r0.002<0.11, consistent with the Planck 2013 results and consistent with the B-mode polarization constraints from a joint analysis of BICEP2, Keck Array, and Planck (BKP) data. Adding the BKP B-mode data to our analysis leads to a tighter constraint of r0.002 <0.09 and disfavours inflationarymodels with a V(φ) φ2 potential. The addition of Planck polarization data leads to strong constraints on deviations from a purely adiabatic spectrum of fluctuations. We find no evidence for any contribution from isocurvature perturbations or from cosmic defects. Combining Planck data with other astrophysical data, including Type Ia supernovae, the equation of state of dark energy is constrained to w =-1.006 ± 0.045, consistent with the expected value for a cosmological constant. The standard big bang nucleosynthesis predictions for the helium and deuterium abundances for the best-fit Planck base ΛCDM cosmology are in excellent agreement with observations. We also constraints on annihilating dark matter and on possible deviations from the standard recombination history. In neither case do we find no evidence for new physics. The Planck results for base ΛCDM are in good agreement with baryon acoustic oscillation data and with the JLA sample of Type Ia supernovae. However, as in the 2013 analysis, the amplitude of the fluctuation spectrum is found to be higher than inferred from some analyses of rich cluster counts and weak gravitational lensing. We show that these tensions cannot easily be resolved with simple modifications of the base ΛCDM cosmology. Apart from these tensions, the base ΛCDM cosmology provides an excellent description of the Planck CMB observations and many other astrophysical data sets.",
keywords = "Cosmic background radiation, Cosmological parameters, Cosmology: observations, Cosmology: theory",
author = "Ade, {P. A R} and N. Aghanim and M. Arnaud and M. Ashdown 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 R. Battye 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 Bock, {J. J.} and A. Bonaldi and L. Bonavera and Bond, {J. R.} and J. Borrill and Bouchet, {F. R.} and F. Boulanger and M. Bucher and C. Burigana and Butler, {R. C.} and E. Calabrese and Cardoso, {J. F.} and A. Catalano and A. Challinor and A. Chamballu and Chary, {R. R.} and Chiang, {H. C.} and J. Chluba and Christensen, {P. R.} and S. Church and Clements, {D. L.} and S. Colombi and Colombo, {L. P L} and C. Combet and A. Coulais and Crill, {B. P.} and A. Curto and F. Cuttaia and L. Danese and Davies, {R. D.} and Davis, {R. J.} and {De Bernardis}, P. and {De Rosa}, A. and {De Zotti}, Giulia and J. Delabrouille and D{\'e}sert, {F. X.} and {Di Valentino}, E. and C. Dickinson and Diego, {J. M.} and K. Dolag 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 M. Farhang and J. Fergusson and F. Finelli and O. Forni and M. Frailis and Fraisse, {A. A.} and E. Franceschi and A. Frejsel and S. Galeotta and S. Galli and K. Ganga and C. Gauthier and M. Gerbino and T. Ghosh and M. Giard and Y. Giraud-H{\'e}raud and E. Giusarma and E. Gjerl{\o}w and J. Gonz{\'a}lez-Nuevo and G{\'o}rski, {K. M.} and S. Gratton and A. Gregorio and A. Gruppuso and Gudmundsson, {J. E.} and J. Hamann and Hansen, {F. K.} and D. Hanson and Harrison, {D. L.} and G. Helou and S. Henrot-Versill{\'e} and C. Hern{\'a}ndez-Monteagudo and D. Herranz and Hildebrandt, {S. R.} and E. Hivon and M. Hobson and Holmes, {W. A.} and Allan Hornstrup and W. Hovest and Z. Huang and Huffenberger, {K. M.} and G. Hurier and Jaffe, {A. H.} and Jaffe, {T. R.} and Jones, {W. C.} and M. Juvela and E. Keih{\"a}nen and R. Keskitalo and Kisner, {T. S.} and R. Kneissl and J. Knoche and L. Knox and M. Kunz and H. Kurki-Suonio and G. Lagache and A. L{\"a}hteenm{\"a}ki and Lamarre, {J. M.} and A. Lasenby and M. Lattanzi and Lawrence, {C. R.} and Leahy, {J. P.} and R. Leonardi and J. Lesgourgues and F. Levrier and Lewis, {Annette May} and M. Liguori and Lilje, {P. B.} and Michael Linden-V{\o}rnle and M. L{\'o}pez-Caniego and Lubin, {P. M.} and Maci{\'a}s-P{\'e}rez, {J. F.} and G. Maggio and D. Maino and N. Mandolesi and A. Mangilli and A. Marchini and M. Maris and Martin, {P. G.} and M. Martinelli and E. Mart{\'i}nez-Gonz{\'a}lez and S. Masi and S. Matarrese and P. Mcgehee and Meinhold, {P. R.} and A. Melchiorri and Melin, {J. B.} and L. Mendes and A. Mennella and M. Migliaccio and M. Millea and Susanta 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 Murphy, {J. A.} and P. Naselsky and F. Nati and P. Natoli and Netterfield, {C. B.} and N{\o}rgaard-Nielsen, {Hans Ulrik} and F. Noviello and D. Novikov and I. Novikov and Oxborrow, {Carol Anne} and F. Paci and L. Pagano and Fernand Pajot and R. Paladini and D. Paoletti and B. Partridge and F. Pasian and G. Patanchon and Pearson, {T. J.} and O. Perdereau and L. Perotto and F. Perrotta and V. Pettorino and F. Piacentini and M. Piat and E. Pierpaoli and D. Pietrobon and S. Plaszczynski and E. Pointecouteau and G. Polenta and L. Popa and Pratt, {G. W.} and G. Pr{\'e}zeau and S. Prunet and Puget, {J. L.} and Rachen, {J. P.} and Reach, {W. T.} and R. Rebolo and M. Reinecke and M. Remazeilles and C. Renault and A. Renzi and I. Ristorcelli and G. Rocha and C. Rosset and M. Rossetti and G. Roudier and {Rouill{\'e} D'orfeuil}, B. and M. Rowan-Robinson and Rubin{\~o}-Mart{\'i}n, {J. A.} and B. Rusholme and N. Said and V. Salvatelli and L. Salvati and M. Sandri and D. Santos and M. Savelainen and G. Savini and D. Scott and Seiffert, {M. D.} and P. Serra and Shellard, {E. P S} and Spencer, {L. D.} and M. Spinelli and V. Stolyarov and R. Stompor and R. Sudiwala and R. Sunyaev and D. Sutton and Suur-Uski, {A. S.} and Sygnet, {J. F.} and Tauber, {J. A.} and L. Terenzi and L. Toffolatti and M. Tomasi and M. Tristram and T. Trombetti and M. Tucci and J. Tuovinen and M. T{\"u}rler and G. Umana and L. Valenziano and J. Valiviita and {Van Tent}, F. and P. Vielva and F. Villa and Wade, {L. A.} and Wandelt, {B. D.} and Wehus, {I. K.} and M. White and White, {S. D M} and A. Wilkinson and D. Yvon and A. Zacchei and A. Zonca",
year = "2016",
doi = "10.1051/0004-6361/201525830",
language = "English",
volume = "594",
journal = "Astronomy & Astrophysics",
issn = "0004-6361",
publisher = "E D P Sciences",

}

Ade, PAR, Aghanim, N, Arnaud, M, Ashdown, M, Aumont, J, Baccigalupi, C, Banday, AJ, Barreiro, RB, Bartlett, JG, Bartolo, N, Battaner, E, Battye, R, Benabed, K, Benoît, A, Benoit-Lévy, A, Bernard, JP, Bersanelli, M, Bielewicz, P, Bock, JJ, Bonaldi, A, Bonavera, L, Bond, JR, Borrill, J, Bouchet, FR, Boulanger, F, Bucher, M, Burigana, C, Butler, RC, Calabrese, E, Cardoso, JF, Catalano, A, Challinor, A, Chamballu, A, Chary, RR, Chiang, HC, Chluba, J, Christensen, PR, Church, S, Clements, DL, Colombi, S, Colombo, LPL, Combet, C, Coulais, A, Crill, BP, Curto, A, Cuttaia, F, Danese, L, Davies, RD, Davis, RJ, De Bernardis, P, De Rosa, A, De Zotti, G, Delabrouille, J, Désert, FX, Di Valentino, E, Dickinson, C, Diego, JM, Dolag, K, Dole, H, Donzelli, S, Doré, O, Douspis, M, Ducout, A, Dunkley, J, Dupac, X, Efstathiou, G, Elsner, F, Enßlin, TA, Eriksen, HK, Farhang, M, Fergusson, J, Finelli, F, Forni, O, Frailis, M, Fraisse, AA, Franceschi, E, Frejsel, A, Galeotta, S, Galli, S, Ganga, K, Gauthier, C, Gerbino, M, Ghosh, T, Giard, M, Giraud-Héraud, Y, Giusarma, E, Gjerløw, E, González-Nuevo, J, Górski, KM, Gratton, S, Gregorio, A, Gruppuso, A, Gudmundsson, JE, Hamann, J, Hansen, FK, Hanson, D, Harrison, DL, Helou, G, Henrot-Versillé, S, Hernández-Monteagudo, C, Herranz, D, Hildebrandt, SR, Hivon, E, Hobson, M, Holmes, WA, Hornstrup, A, Hovest, W, Huang, Z, Huffenberger, KM, Hurier, G, Jaffe, AH, Jaffe, TR, Jones, WC, Juvela, M, Keihänen, E, Keskitalo, R, Kisner, TS, Kneissl, R, Knoche, J, Knox, L, Kunz, M, Kurki-Suonio, H, Lagache, G, Lähteenmäki, A, Lamarre, JM, Lasenby, A, Lattanzi, M, Lawrence, CR, Leahy, JP, Leonardi, R, Lesgourgues, J, Levrier, F, Lewis, AM, Liguori, M, Lilje, PB, Linden-Vørnle, M, López-Caniego, M, Lubin, PM, Maciás-Pérez, JF, Maggio, G, Maino, D, Mandolesi, N, Mangilli, A, Marchini, A, Maris, M, Martin, PG, Martinelli, M, Martínez-González, E, Masi, S, Matarrese, S, Mcgehee, P, Meinhold, PR, Melchiorri, A, Melin, JB, Mendes, L, Mennella, A, Migliaccio, M, Millea, M, Mitra, S, Miville-Deschênes, MA, Moneti, A, Montier, L, Morgante, G, Mortlock, D, Moss, A, Munshi, D, Murphy, JA, Naselsky, P, Nati, F, Natoli, P, Netterfield, CB, Nørgaard-Nielsen, HU, Noviello, F, Novikov, D, Novikov, I, Oxborrow, CA, Paci, F, Pagano, L, Pajot, F, Paladini, R, Paoletti, D, Partridge, B, Pasian, F, Patanchon, G, Pearson, TJ, 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, GW, Prézeau, G, Prunet, S, Puget, JL, Rachen, JP, Reach, WT, Rebolo, R, Reinecke, M, Remazeilles, M, Renault, C, Renzi, A, Ristorcelli, I, Rocha, G, Rosset, C, Rossetti, M, Roudier, G, Rouillé D'orfeuil, B, Rowan-Robinson, M, Rubinõ-Martín, JA, Rusholme, B, Said, N, Salvatelli, V, Salvati, L, Sandri, M, Santos, D, Savelainen, M, Savini, G, Scott, D, Seiffert, MD, Serra, P, Shellard, EPS, Spencer, LD, Spinelli, M, Stolyarov, V, Stompor, R, Sudiwala, R, Sunyaev, R, Sutton, D, Suur-Uski, AS, Sygnet, JF, Tauber, JA, Terenzi, L, Toffolatti, L, Tomasi, M, Tristram, M, Trombetti, T, Tucci, M, Tuovinen, J, Türler, M, Umana, G, Valenziano, L, Valiviita, J, Van Tent, F, Vielva, P, Villa, F, Wade, LA, Wandelt, BD, Wehus, IK, White, M, White, SDM, Wilkinson, A, Yvon, D, Zacchei, A & Zonca, A 2016, 'Planck 2015 results: XIII. Cosmological parameters', Astronomy & Astrophysics, vol. 594, A13. https://doi.org/10.1051/0004-6361/201525830

Planck 2015 results: XIII. Cosmological parameters. / Ade, P. A R; Aghanim, N.; Arnaud, M.; Ashdown, M.; Aumont, J.; Baccigalupi, C.; Banday, A. J.; Barreiro, R. B.; Bartlett, J. G.; Bartolo, N.; Battaner, E.; Battye, R.; 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.; Chary, R. R.; Chiang, H. C.; Chluba, J.; Christensen, P. R.; Church, S.; Clements, D. L.; Colombi, S.; Colombo, L. P L; Combet, C.; 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, Giulia; Delabrouille, J.; Désert, F. X.; Di Valentino, E.; Dickinson, C.; Diego, J. M.; Dolag, K.; Dole, H.; Donzelli, S.; Doré, O.; Douspis, M.; Ducout, A.; Dunkley, J.; Dupac, X.; Efstathiou, G.; Elsner, F.; Enßlin, T. A.; Eriksen, H. K.; Farhang, M.; Fergusson, J.; Finelli, F.; Forni, O.; Frailis, M.; Fraisse, A. A.; Franceschi, E.; Frejsel, A.; Galeotta, S.; Galli, S.; Ganga, K.; Gauthier, C.; Gerbino, M.; Ghosh, T.; Giard, M.; Giraud-Héraud, Y.; Giusarma, E.; 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.; Helou, G.; Henrot-Versillé, S.; Hernández-Monteagudo, C.; Herranz, D.; Hildebrandt, S. R.; Hivon, E.; Hobson, M.; Holmes, W. A.; Hornstrup, Allan; Hovest, W.; Huang, Z.; Huffenberger, K. M.; Hurier, G.; Jaffe, A. H.; Jaffe, T. R.; Jones, W. C.; Juvela, M.; Keihänen, E.; Keskitalo, R.; Kisner, T. S.; Kneissl, R.; Knoche, J.; Knox, L.; Kunz, M.; Kurki-Suonio, H.; Lagache, G.; Lähteenmäki, A.; Lamarre, J. M.; Lasenby, A.; Lattanzi, M.; Lawrence, C. R.; Leahy, J. P.; Leonardi, R.; Lesgourgues, J.; Levrier, F.; Lewis, Annette May; Liguori, M.; Lilje, P. B.; Linden-Vørnle, Michael; López-Caniego, M.; Lubin, P. M.; Maciás-Pérez, J. F.; Maggio, G.; Maino, D.; Mandolesi, N.; Mangilli, A.; Marchini, A.; Maris, M.; Martin, P. G.; Martinelli, M.; Martínez-González, E.; Masi, S.; Matarrese, S.; Mcgehee, P.; Meinhold, P. R.; Melchiorri, A.; Melin, J. B.; Mendes, L.; Mennella, A.; Migliaccio, M.; Millea, M.; Mitra, Susanta; Miville-Deschênes, M. A.; Moneti, A.; Montier, L.; Morgante, G.; Mortlock, D.; Moss, A.; Munshi, D.; Murphy, J. A.; Naselsky, P.; Nati, F.; Natoli, P.; Netterfield, C. B.; Nørgaard-Nielsen, Hans Ulrik; Noviello, F.; Novikov, D.; Novikov, I.; Oxborrow, Carol Anne; Paci, F.; Pagano, L.; Pajot, Fernand; Paladini, R.; Paoletti, D.; Partridge, B.; Pasian, F.; Patanchon, G.; Pearson, T. J.; 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.; Reach, W. T.; Rebolo, R.; Reinecke, M.; Remazeilles, M.; Renault, C.; Renzi, A.; Ristorcelli, I.; Rocha, G.; Rosset, C.; Rossetti, M.; Roudier, G.; Rouillé D'orfeuil, B.; Rowan-Robinson, M.; Rubinõ-Martín, J. A.; Rusholme, B.; Said, N.; Salvatelli, V.; Salvati, L.; Sandri, M.; Santos, D.; Savelainen, M.; Savini, G.; Scott, D.; Seiffert, M. D.; Serra, P.; Shellard, E. P S; Spencer, L. D.; Spinelli, M.; Stolyarov, V.; Stompor, R.; Sudiwala, R.; Sunyaev, R.; Sutton, D.; Suur-Uski, A. S.; Sygnet, J. F.; Tauber, J. A.; Terenzi, L.; Toffolatti, L.; Tomasi, M.; Tristram, M.; Trombetti, T.; Tucci, M.; Tuovinen, J.; Türler, M.; Umana, G.; Valenziano, L.; Valiviita, J.; Van Tent, F.; Vielva, P.; Villa, F.; Wade, L. A.; Wandelt, B. D.; Wehus, I. K.; White, M.; White, S. D M; Wilkinson, A.; Yvon, D.; Zacchei, A.; Zonca, A.

In: Astronomy & Astrophysics, Vol. 594, A13, 2016.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Planck 2015 results: XIII. Cosmological parameters

AU - Ade, P. A R

AU - Aghanim, N.

AU - Arnaud, M.

AU - Ashdown, M.

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 - Battye, R.

AU - Benabed, K.

AU - Benoît, A.

AU - Benoit-Lévy, A.

AU - Bernard, J. P.

AU - Bersanelli, M.

AU - Bielewicz, P.

AU - Bock, J. J.

AU - Bonaldi, A.

AU - Bonavera, L.

AU - Bond, J. R.

AU - Borrill, J.

AU - Bouchet, F. R.

AU - Boulanger, F.

AU - Bucher, M.

AU - Burigana, C.

AU - Butler, R. C.

AU - Calabrese, E.

AU - Cardoso, J. F.

AU - Catalano, A.

AU - Challinor, A.

AU - Chamballu, A.

AU - Chary, R. R.

AU - Chiang, H. C.

AU - Chluba, J.

AU - Christensen, P. R.

AU - Church, S.

AU - Clements, D. L.

AU - Colombi, S.

AU - Colombo, L. P L

AU - Combet, C.

AU - Coulais, A.

AU - Crill, B. P.

AU - Curto, A.

AU - Cuttaia, F.

AU - Danese, L.

AU - Davies, R. D.

AU - Davis, R. J.

AU - De Bernardis, P.

AU - De Rosa, A.

AU - De Zotti, Giulia

AU - Delabrouille, J.

AU - Désert, F. X.

AU - Di Valentino, E.

AU - Dickinson, C.

AU - Diego, J. M.

AU - Dolag, K.

AU - Dole, H.

AU - Donzelli, S.

AU - Doré, O.

AU - Douspis, M.

AU - Ducout, A.

AU - Dunkley, J.

AU - Dupac, X.

AU - Efstathiou, G.

AU - Elsner, F.

AU - Enßlin, T. A.

AU - Eriksen, H. K.

AU - Farhang, M.

AU - Fergusson, J.

AU - Finelli, F.

AU - Forni, O.

AU - Frailis, M.

AU - Fraisse, A. A.

AU - Franceschi, E.

AU - Frejsel, A.

AU - Galeotta, S.

AU - Galli, S.

AU - Ganga, K.

AU - Gauthier, C.

AU - Gerbino, M.

AU - Ghosh, T.

AU - Giard, M.

AU - Giraud-Héraud, Y.

AU - Giusarma, E.

AU - Gjerløw, E.

AU - González-Nuevo, J.

AU - Górski, K. M.

AU - Gratton, S.

AU - Gregorio, A.

AU - Gruppuso, A.

AU - Gudmundsson, J. E.

AU - Hamann, J.

AU - Hansen, F. K.

AU - Hanson, D.

AU - Harrison, D. L.

AU - Helou, G.

AU - Henrot-Versillé, S.

AU - Hernández-Monteagudo, C.

AU - Herranz, D.

AU - Hildebrandt, S. R.

AU - Hivon, E.

AU - Hobson, M.

AU - Holmes, W. A.

AU - Hornstrup, Allan

AU - Hovest, W.

AU - Huang, Z.

AU - Huffenberger, K. M.

AU - Hurier, G.

AU - Jaffe, A. H.

AU - Jaffe, T. R.

AU - Jones, W. C.

AU - Juvela, M.

AU - Keihänen, E.

AU - Keskitalo, R.

AU - Kisner, T. S.

AU - Kneissl, R.

AU - Knoche, J.

AU - Knox, L.

AU - Kunz, M.

AU - Kurki-Suonio, H.

AU - Lagache, G.

AU - Lähteenmäki, A.

AU - Lamarre, J. M.

AU - Lasenby, A.

AU - Lattanzi, M.

AU - Lawrence, C. R.

AU - Leahy, J. P.

AU - Leonardi, R.

AU - Lesgourgues, J.

AU - Levrier, F.

AU - Lewis, Annette May

AU - Liguori, M.

AU - Lilje, P. B.

AU - Linden-Vørnle, Michael

AU - López-Caniego, M.

AU - Lubin, P. M.

AU - Maciás-Pérez, J. F.

AU - Maggio, G.

AU - Maino, D.

AU - Mandolesi, N.

AU - Mangilli, A.

AU - Marchini, A.

AU - Maris, M.

AU - Martin, P. G.

AU - Martinelli, M.

AU - Martínez-González, E.

AU - Masi, S.

AU - Matarrese, S.

AU - Mcgehee, P.

AU - Meinhold, P. R.

AU - Melchiorri, A.

AU - Melin, J. B.

AU - Mendes, L.

AU - Mennella, A.

AU - Migliaccio, M.

AU - Millea, M.

AU - Mitra, Susanta

AU - Miville-Deschênes, M. A.

AU - Moneti, A.

AU - Montier, L.

AU - Morgante, G.

AU - Mortlock, D.

AU - Moss, A.

AU - Munshi, D.

AU - Murphy, J. A.

AU - Naselsky, P.

AU - Nati, F.

AU - Natoli, P.

AU - Netterfield, C. B.

AU - Nørgaard-Nielsen, Hans Ulrik

AU - Noviello, F.

AU - Novikov, D.

AU - Novikov, I.

AU - Oxborrow, Carol Anne

AU - Paci, F.

AU - Pagano, L.

AU - Pajot, Fernand

AU - Paladini, R.

AU - Paoletti, D.

AU - Partridge, B.

AU - Pasian, F.

AU - Patanchon, G.

AU - Pearson, T. J.

AU - Perdereau, O.

AU - Perotto, L.

AU - Perrotta, F.

AU - Pettorino, V.

AU - Piacentini, F.

AU - Piat, M.

AU - Pierpaoli, E.

AU - Pietrobon, D.

AU - Plaszczynski, S.

AU - Pointecouteau, E.

AU - Polenta, G.

AU - Popa, L.

AU - Pratt, G. W.

AU - Prézeau, G.

AU - Prunet, S.

AU - Puget, J. L.

AU - Rachen, J. P.

AU - Reach, W. T.

AU - Rebolo, R.

AU - Reinecke, M.

AU - Remazeilles, M.

AU - Renault, C.

AU - Renzi, A.

AU - Ristorcelli, I.

AU - Rocha, G.

AU - Rosset, C.

AU - Rossetti, M.

AU - Roudier, G.

AU - Rouillé D'orfeuil, B.

AU - Rowan-Robinson, M.

AU - Rubinõ-Martín, J. A.

AU - Rusholme, B.

AU - Said, N.

AU - Salvatelli, V.

AU - Salvati, L.

AU - Sandri, M.

AU - Santos, D.

AU - Savelainen, M.

AU - Savini, G.

AU - Scott, D.

AU - Seiffert, M. D.

AU - Serra, P.

AU - Shellard, E. P S

AU - Spencer, L. D.

AU - Spinelli, M.

AU - Stolyarov, V.

AU - Stompor, R.

AU - Sudiwala, R.

AU - Sunyaev, R.

AU - Sutton, D.

AU - Suur-Uski, A. S.

AU - Sygnet, J. F.

AU - Tauber, J. A.

AU - Terenzi, L.

AU - Toffolatti, L.

AU - Tomasi, M.

AU - Tristram, M.

AU - Trombetti, T.

AU - Tucci, M.

AU - Tuovinen, J.

AU - Türler, M.

AU - Umana, G.

AU - Valenziano, L.

AU - Valiviita, J.

AU - Van Tent, F.

AU - Vielva, P.

AU - Villa, F.

AU - Wade, L. A.

AU - Wandelt, B. D.

AU - Wehus, I. K.

AU - White, M.

AU - White, S. D M

AU - Wilkinson, A.

AU - Yvon, D.

AU - Zacchei, A.

AU - Zonca, A.

PY - 2016

Y1 - 2016

N2 - This paper presents cosmological results based on full-mission Planck observations of temperature and polarization anisotropies of the cosmic microwave background (CMB) radiation. Our results are in very good agreement with the 2013 analysis of the Planck nominal-mission temperature data, but with increased precision. The temperature and polarization power spectra are consistent with the standard spatially-flat 6-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted "base ΛCDM" in this paper). From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H0 = (67.8 ± 0.9) km s-1Mpc-1, a matter density parameter Ωm = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. Note that in this abstract we quote 68% confidence limits on measured parameters and 95% upper limits on other parameters. We present the first results of polarization measurements with the Low Frequency Instrument at large angular scales. Combined with the Planck temperature and lensing data, these measurements give a reionization optical depth of τ = 0.066 ± 0.016, corresponding to a reionization redshift of \hbox{$z-{\rm re}=8.8{+1.7}-{-1.4}$}. These results are consistent with those from WMAP polarization measurements cleaned for dust emission using 353-GHz polarization maps from the High Frequency Instrument. We find no evidence for any departure from base ΛCDM in the neutrino sector of the theory; for example, combining Planck observations with other astrophysical data we find Neff = 3.15 ± 0.23 for the effective number of relativistic degrees of freedom, consistent with the value Neff = 3.046 of the Standard Model of particle physics. The sum of neutrino masses is constrained to â'mν <0.23 eV. The spatial curvature of our Universe is found to be very close to zero, with | ΩK | <0.005. Adding a tensor component as a single-parameter extension to base ΛCDM we find an upper limit on the tensor-to-scalar ratio of r0.002<0.11, consistent with the Planck 2013 results and consistent with the B-mode polarization constraints from a joint analysis of BICEP2, Keck Array, and Planck (BKP) data. Adding the BKP B-mode data to our analysis leads to a tighter constraint of r0.002 <0.09 and disfavours inflationarymodels with a V(φ) φ2 potential. The addition of Planck polarization data leads to strong constraints on deviations from a purely adiabatic spectrum of fluctuations. We find no evidence for any contribution from isocurvature perturbations or from cosmic defects. Combining Planck data with other astrophysical data, including Type Ia supernovae, the equation of state of dark energy is constrained to w =-1.006 ± 0.045, consistent with the expected value for a cosmological constant. The standard big bang nucleosynthesis predictions for the helium and deuterium abundances for the best-fit Planck base ΛCDM cosmology are in excellent agreement with observations. We also constraints on annihilating dark matter and on possible deviations from the standard recombination history. In neither case do we find no evidence for new physics. The Planck results for base ΛCDM are in good agreement with baryon acoustic oscillation data and with the JLA sample of Type Ia supernovae. However, as in the 2013 analysis, the amplitude of the fluctuation spectrum is found to be higher than inferred from some analyses of rich cluster counts and weak gravitational lensing. We show that these tensions cannot easily be resolved with simple modifications of the base ΛCDM cosmology. Apart from these tensions, the base ΛCDM cosmology provides an excellent description of the Planck CMB observations and many other astrophysical data sets.

AB - This paper presents cosmological results based on full-mission Planck observations of temperature and polarization anisotropies of the cosmic microwave background (CMB) radiation. Our results are in very good agreement with the 2013 analysis of the Planck nominal-mission temperature data, but with increased precision. The temperature and polarization power spectra are consistent with the standard spatially-flat 6-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations (denoted "base ΛCDM" in this paper). From the Planck temperature data combined with Planck lensing, for this cosmology we find a Hubble constant, H0 = (67.8 ± 0.9) km s-1Mpc-1, a matter density parameter Ωm = 0.308 ± 0.012, and a tilted scalar spectral index with ns = 0.968 ± 0.006, consistent with the 2013 analysis. Note that in this abstract we quote 68% confidence limits on measured parameters and 95% upper limits on other parameters. We present the first results of polarization measurements with the Low Frequency Instrument at large angular scales. Combined with the Planck temperature and lensing data, these measurements give a reionization optical depth of τ = 0.066 ± 0.016, corresponding to a reionization redshift of \hbox{$z-{\rm re}=8.8{+1.7}-{-1.4}$}. These results are consistent with those from WMAP polarization measurements cleaned for dust emission using 353-GHz polarization maps from the High Frequency Instrument. We find no evidence for any departure from base ΛCDM in the neutrino sector of the theory; for example, combining Planck observations with other astrophysical data we find Neff = 3.15 ± 0.23 for the effective number of relativistic degrees of freedom, consistent with the value Neff = 3.046 of the Standard Model of particle physics. The sum of neutrino masses is constrained to â'mν <0.23 eV. The spatial curvature of our Universe is found to be very close to zero, with | ΩK | <0.005. Adding a tensor component as a single-parameter extension to base ΛCDM we find an upper limit on the tensor-to-scalar ratio of r0.002<0.11, consistent with the Planck 2013 results and consistent with the B-mode polarization constraints from a joint analysis of BICEP2, Keck Array, and Planck (BKP) data. Adding the BKP B-mode data to our analysis leads to a tighter constraint of r0.002 <0.09 and disfavours inflationarymodels with a V(φ) φ2 potential. The addition of Planck polarization data leads to strong constraints on deviations from a purely adiabatic spectrum of fluctuations. We find no evidence for any contribution from isocurvature perturbations or from cosmic defects. Combining Planck data with other astrophysical data, including Type Ia supernovae, the equation of state of dark energy is constrained to w =-1.006 ± 0.045, consistent with the expected value for a cosmological constant. The standard big bang nucleosynthesis predictions for the helium and deuterium abundances for the best-fit Planck base ΛCDM cosmology are in excellent agreement with observations. We also constraints on annihilating dark matter and on possible deviations from the standard recombination history. In neither case do we find no evidence for new physics. The Planck results for base ΛCDM are in good agreement with baryon acoustic oscillation data and with the JLA sample of Type Ia supernovae. However, as in the 2013 analysis, the amplitude of the fluctuation spectrum is found to be higher than inferred from some analyses of rich cluster counts and weak gravitational lensing. We show that these tensions cannot easily be resolved with simple modifications of the base ΛCDM cosmology. Apart from these tensions, the base ΛCDM cosmology provides an excellent description of the Planck CMB observations and many other astrophysical data sets.

KW - Cosmic background radiation

KW - Cosmological parameters

KW - Cosmology: observations

KW - Cosmology: theory

U2 - 10.1051/0004-6361/201525830

DO - 10.1051/0004-6361/201525830

M3 - Journal article

VL - 594

JO - Astronomy & Astrophysics

JF - Astronomy & Astrophysics

SN - 0004-6361

M1 - A13

ER -

Ade PAR, Aghanim N, Arnaud M, Ashdown M, Aumont J, Baccigalupi C et al. Planck 2015 results: XIII. Cosmological parameters. Astronomy & Astrophysics. 2016;594. A13. https://doi.org/10.1051/0004-6361/201525830