Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-12-21
JCAP 0705:013,2007
Astronomy and Astrophysics
Astrophysics
29 pages, 13 figures, JCAP style. Improved to match published version : annex A expanded, references added, few minor correcti
Scientific paper
10.1088/1475-7516/2007/05/013
CMB anisotropies are modified by the weak lensing effect of intervening large scale structures on the photon path from the last scattering surface to the observer. This has to be accounted for when observational data of sensitive experiments are used to constrain cosmological models. A common approximation to analyze the CMB angular power spectra is to include only the Gaussian part of the lensing correction and to ignore the non-gaussian terms in the error covariance matrix of the spectra. In order to investigate the validity of this approximation, we computed these non-Gaussian terms by using a perturbative expansion method. We present a graphical method to write down any N-point correlation functions at any order in lensing. We use a pedagogical approach to demonstrate that neglecting non-gaussian terms is an accurate approximation for all polarizations but B, and it will remain so even for the analysis of very sensitive post-Planck experiments. For the B polarization, non-gaussian contributions up to order 4 must be taken into account.
Benabed Karim
Bouchet Francois
Rocher Jonathan
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