## Abstract

Original language | English |
---|---|

Journal | Astronomy and Astrophysics |

Volume | 571 |

DOIs | |

Publication status | Published - Nov 2014 |

## Keywords

- cosmic background radiation
- cosmological parameters
- cosmology: observations
- methods: data analysis

Planck Collaboration, 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, E Battaner, K Benabed, A Beno??t, A Benoit-L??vy, J-P Bernard, M Bersanelli, P Bielewicz, J Bobin

Research output: Contribution to journal › Article › peer-review

This paper presents the Planck 2013 likelihood, a complete statistical description of the two-point correlation function of the {CMB} temperature fluctuations that accounts for all known relevant uncertainties, both instrumental and astrophysical in nature. We use this likelihood to derive our best estimate of the {CMB} angular power spectrum from Planck over three decades in multipole moment, l, covering 2 {\textless}= l{\textless}= 2500. The main source of uncertainty at l ??? 1500 is cosmic variance. Uncertainties in small-scale foreground modelling andinstrumental noise dominate the error budget at higher ls. For l {\textless} 50, our likelihood exploits all Planck frequency channels from 30 to 353 {GHz}, separating the cosmological {CMB} signal from diffuse Galactic foregrounds through a physically motivated Bayesian component separation technique. At l {\textgreater}= 50, we employ a correlated Gaussian likelihood approximation based on a fine-grained set of angular cross-spectra derived from multiple detector combinations between the 100, 143, and 217 {GHz} frequency channels, marginalising over power spectrum foreground templates. We validate our likelihood through an extensive suite of consistency tests, and assess the impact of residual foreground and instrumental uncertainties on the final cosmological parameters. We find good internal agreement among the high-l cross-spectra withresiduals below a few {muK}2 at l ??? 1000, inagreement with estimated calibration uncertainties. We compare our results with foreground-cleaned {CMB} maps derived from all Planck frequencies, as well as with cross-spectra derived from the 70 {GHz} Planck map, and find broad agreement in terms of spectrum residuals and cosmological parameters. We further show that the best-fit {LambdaCDM} cosmology is in excellent agreement with preliminary {PlanckEE} and {TE} polarisation spectra. We find that the standard {LambdaCDM} cosmology is well constrained by Planck from the measurements at l ??? 1500. One specific example is the spectral index of scalar perturbations, for which we report a 5.4sigma deviation from scale invariance,ns = 1. Increasing the multipole range beyond l {\textasciitilde}=1500 does not increase our accuracy for the {LambdaCDM} parameters, but instead allows us to study extensions beyond the standard model. We find no indication of significant departures from the {LambdaCDM} framework. Finally, we report a tension between the Planck best-fit {LambdaCDM} model and the low-l spectrum in the form of a power deficit of 5-10\% at l ??? 40, with a statistical significance of 2.5-3sigma.Without a theoretically motivated model for this power deficit, we do not elaborate further on its cosmological implications, but note that this is our most puzzling finding in an otherwise remarkably consistent data set.

Original language | English |
---|---|

Journal | Astronomy and Astrophysics |

Volume | 571 |

DOIs | |

Publication status | Published - Nov 2014 |

- cosmic background radiation
- cosmological parameters
- cosmology: observations
- methods: data analysis