The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations

2010/03/31 by Cyril Pitrou, Jean-Philippe Uzan, Jean–Philippe Uzan +1
Physics and Astronomy · #Advanced Differential Geometry Research #Anisotropy #Astronomy #Astrophysics #Big Bang (financial markets) #Bispectrum #COSMIC cancer database #Cosmic background radiation #Cosmic infrared background #Cosmic microwave background #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Dark energy #Non-Gaussianity #Physical cosmology #Physics #Quantum mechanics #Relativity and Gravitational Theory #Spectral density #Trispectrum #astro-ph.CO #gr-qc

paper · pdf · doi:10.1088/1475-7516/2010/07/003

published as JCAP 1007:003,2010 · 44 pages, 8 figures

openalex publication_date 2010/07/01 · arxiv created 2010/07/12 · arxiv updated 2010/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This article presents the first computation of the complete bispectrum of the cosmic microwave background temperature anisotropies arising from the evolution of all cosmic fluids up to second order, including neutrinos. Gravitational couplings, electron density fluctuations and the second order Boltzmann equation are fully taken into account. Comparison to limiting cases that appeared previously in the literature are provided. These are regimes for which analytical insights can be given. The final results are expressed in terms of equivalent f NL for different configurations. It is found that for moments up to ℓ max = 2000, the signal generated by non-linear effects is equivalent to f NL ≃ 5 for both local-type and equilateral-type primordial non-Gaussianity.

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