CMB Anisotropies at Second-Order II: Analytical Approach

Details CMB Anisotropies at Second-Order II: Analytical Approach CMB Anisotropies at Second-Order II: Analytical Approach

2006-10-04

arxiv.org/abs/astro-ph/0610110v2

JCAP 0701:019,2007

Astronomy and Astrophysics

Astrophysics

38 pages, LaTeX file; typos corrected, discussion improved in Sec. IIIA and VII, matching the version published in JCAP

Scientific paper

10.1088/1475-7516/2007/01/019

We provide an analytical approach to the second-order Cosmic Microwave Background (CMB) anisotropies generated by the non-linear dynamics taking place at last scattering. We study the acoustic oscillations of the photon-baryon fluid in the tight coupling limit and we extend at second-order the Meszaros effect. We allow for a generic set of initial conditions due to primordial non-Gaussianity and we compute all the additional contributions arising at recombination. Our results are useful to provide the full second-order radiation transfer function at all scales necessary for establishing the level of non-Gaussianity in the CMB.

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