Lensed CMB power spectra from all-sky correlation functions

Details Lensed CMB power spectra from all-sky correlation functions Lensed CMB power spectra from all-sky correlation functions

2005-02-21

arxiv.org/abs/astro-ph/0502425v2

Phys.Rev. D71 (2005) 103010

Astronomy and Astrophysics

Astrophysics

16 pages, 4 figures. Changes to match PRD version including new section on non-linear corrections. CAMB code available at http

Scientific paper

10.1103/PhysRevD.71.103010

Weak lensing of the CMB changes the unlensed temperature anisotropy and polarization power spectra. Accounting for the lensing effect will be crucial to obtain accurate parameter constraints from sensitive CMB observations. Methods for computing the lensed power spectra using a low-order perturbative expansion are not good enough for percent-level accuracy. Non-perturbative flat-sky methods are more accurate, but curvature effects change the spectra at the 0.3-1% level. We describe a new, accurate and fast, full-sky correlation-function method for computing the lensing effect on CMB power spectra to better than 0.1% at l<2500 (within the approximation that the lensing potential is linear and Gaussian). We also discuss the effect of non-linear evolution of the gravitational potential on the lensed power spectra. Our fast numerical code is publicly available.

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