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Published June 2011 | Published
Journal Article Open

Application of XFASTER power spectrum and likelihood estimator to Planck

Abstract

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 showthat theXFASTER 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.

Additional Information

© 2011 California Institute of Technology. US government sponsorship acknowledged. Monthly Notices of the Royal Astronomical Society © 2011 RAS. Accepted 2010 November 4. Received 2010 October 28; in original form 2009 December 15. Article first published online: 24 May 2011. The work reported in this paper was partially done within the CTP Working Group of the Planck Consortia. Planck is a mission of the European Space Agency. GR would like to say a special thank you to Charles Lawrence for his insightful comments and dedicated help during the writing of this manuscript. GR is also grateful to Jeff Jewell for useful discussions. This research used resources of the National Energy Research Scientific Computing Center, which is supported by the Office of Science of the US Department of Energy under Contract No. DE-AC03-76SF00098. This work has made use of the HEALPIX package (Gόrski et al. 2005); and of the Planck satellite simulation package, LEVELS (Reinecke et al. 2006), which is assembled by the Max Planck Institute for Astrophysics Planck Analysis Centre (MPAC). GR Planck Project is supported by the NASA Science Mission Directorate. The research described in this paper was partially carried out at the Jet propulsion Laboratory, California Institute of Technology, under a contract with NASA.

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