Planck2015 results

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HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

Benjamin WANDELT, A. J. Banday, F. K. Hansen … (2004)

HEALPix -- the Hierarchical Equal Area iso-Latitude Pixelization -- is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific applications executable directly on very large volumes of astronomical data and large area surveys in the form of discretized spherical maps. Originally developed to address the data processing and analysis needs of the present generation of cosmic microwave background (CMB) experiments (e.g. BOOMERanG, WMAP), HEALPix can be expanded to meet many of the profound challenges that will arise in confrontation with the observational output of future missions and experiments, including e.g. Planck, Herschel, SAFIR, and the Beyond Einstein CMB polarization probe. In this paper we consider the requirements and constraints to be met in order to implement a sufficient framework for the efficient discretization and fast analysis/synthesis of functions defined on the sphere, and summarise how they are satisfied by HEALPix.

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Planck 2015 results. XX. Constraints on inflation

Planck Collaboration, P. A. R. Ade, N. Aghanim … (2015)

We present the implications for cosmic inflation of the Planck measurements of the cosmic microwave background (CMB) anisotropies in both temperature and polarization based on the full Planck survey. The Planck full mission temperature data and a first release of polarization data on large angular scales measure the spectral index of curvature perturbations to be \(n_\mathrm{s} = 0.968 \pm 0.006\) and tightly constrain its scale dependence to \(d n_s/d \ln k =-0.003 \pm 0.007\) when combined with the Planck lensing likelihood. When the high-\(\ell\) polarization data is included, the results are consistent and uncertainties are reduced. The upper bound on the tensor-to-scalar ratio is \(r_{0.002} < 0.11\) (95% CL), consistent with the B-mode polarization constraint \(r< 0.12\) (95% CL) obtained from a joint BICEP2/Keck Array and Planck analysis. These results imply that \(V(\phi) \propto \phi^2\) and natural inflation are now disfavoured compared to models predicting a smaller tensor-to-scalar ratio, such as \(R^2\) inflation. Three independent methods reconstructing the primordial power spectrum are investigated. The Planck data are consistent with adiabatic primordial perturbations. We investigate inflationary models producing an anisotropic modulation of the primordial curvature power spectrum as well as generalized models of inflation not governed by a scalar field with a canonical kinetic term. The 2015 results are consistent with the 2013 analysis based on the nominal mission data.

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Planck 2015 results. I. Overview of products and scientific results

, , … (2015)

The European Space Agency's Planck satellite, dedicated to studying the early Universe and its subsequent evolution, was launched 14~May 2009 and scanned the microwave and submillimetre sky continuously between 12~August 2009 and 23~October 2013. In February~2015, ESA and the Planck Collaboration released the second set of cosmology products based on data from the entire Planck mission, including both temperature and polarization, along with a set of scientific and technical papers and a web-based explanatory supplement. This paper gives an overview of the main characteristics of the data and the data products in the release, as well as the associated cosmological and astrophysical science results and papers. The science products include maps of the cosmic microwave background (CMB), the thermal Sunyaev-Zeldovich effect, and diffuse foregrounds in temperature and polarization, catalogues of compact Galactic and extragalactic sources (including separate catalogues of Sunyaev-Zeldovich clusters and Galactic cold clumps), and extensive simulations of signals and noise used in assessing the performance of the analysis methods and assessment of uncertainties. The likelihood code used to assess cosmological models against the Planck data are described, as well as a CMB lensing likelihood. Scientific results include cosmological parameters deriving from CMB power spectra, gravitational lensing, and cluster counts, as well as constraints on inflation, non-Gaussianity, primordial magnetic fields, dark energy, and modified gravity.

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Title: Astronomy & Astrophysics

Abbreviated Title: A&A

Publisher: EDP Sciences

ISSN (Print): 0004-6361

ISSN (Electronic): 1432-0746

Publication date Created: October 2016

Publication date (Print): September 20 2016

Volume: 594

Issue:

Page: A2

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[1 ]Planck Collaboration

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DOI: 10.1051/0004-6361/201525818

SO-VID: b3c4a529-768e-4897-ac5c-4f0890da4b7f

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Planck2015 results : II. Low Frequency Instrument data processings

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Most cited references 50

HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

Planck 2015 results. XX. Constraints on inflation

Planck 2015 results. I. Overview of products and scientific results

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