Journal Article

Application of <span class="smallCaps">XFaster</span> power spectrum and likelihood estimator to <i>Planck</i>

G. Rocha, C. R. Contaldi, J. R. Bond and K. M. Górski

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 414, issue 2, pages 823-846
Published in print June 2011 | ISSN: 0035-8711
Published online June 2011 | e-ISSN: 1365-2966 | DOI: https://dx.doi.org/10.1111/j.1365-2966.2010.17980.x
Application of XFaster power spectrum and likelihood estimator to Planck

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We develop the XFaster cosmic microwave background (CMB) temperature and polarization anisotropy power spectrum and likelihood technique for the Planck CMB satellite mission. We give an overview of this estimator and its current implementation, and present the results of applying this algorithm to simulated Planck data. We show that it can accurately extract the power spectrum of Planck data for the high-ℓ multipoles range. We compare the XFaster approximation for the likelihood to other high-ℓ likelihood approximations such as Gaussian and Offset Lognormal and a low-ℓ pixel-based likelihood. We show that the XFaster likelihood is not only accurate at high ℓ, but also performs well at moderately low multipoles. We also present results for cosmological parameter Markov chain Monte Carlo estimation with the XFaster likelihood. As long as the low-ℓ polarization and temperature power are properly accounted for, e.g. by adding an adequate low-ℓ likelihood ingredient, the input parameters are recovered to a high level of accuracy.

Keywords: methods: data analysis; methods: statistical; cosmology: observations; cosmic microwave background; cosmological parameters

Journal Article.  10641 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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