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CMB Anisotropies at Second-Order II: Analytical Approach

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arxiv astro-ph/0610110 v2 pith:DOH2TTI4 submitted 2006-10-04 astro-ph gr-qchep-ph

Nicola Bartolo (ICTP Trieste , Physics Department Padova , Italy) , Sabino Matarrese (Physics Department Padova , Antonio Riotto (CERN Geneva , Switzerland , INFN Padova This is my paper · ORCID
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keywords second-orderanalyticalanisotropiesapproachnon-gaussianityacousticadditionalallow
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Fate of Large Scale White Noise in Second-Order Cosmological Perturbation Theory

    astro-ph.CO 2026-08 conditional novelty 7.0 of 10

    White noise in the second-order kurvature density is real, but it is not inherited by the comoving curvature perturbation as an infrared pole, invalidating the k_BH bound on the small-scale primordial power spectrum.

  2. From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back)

    astro-ph.CO 2019-08 conditional novelty 7.0 of 10

    Using numerical relativity thresholds, cosmological perturbation theory, and peak theory, the authors derive updated upper limits on the small-scale primordial curvature power spectrum from primordial black hole abund...

  3. Anisotropies and non-Gaussianity of the Cosmological Gravitational Wave Background

    astro-ph.CO 2019-08 conditional novelty 6.0 of 10

    The angular anisotropy and bispectrum of the cosmological gravitational wave background can encode primordial perturbations, including order-one frequency dependence and primordial non-Gaussianity.

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