Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum

Details Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum

2009-05-11

arxiv.org/abs/0905.1552v2

JCAP 0909:002,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

19 pages, 2 figures; minor corrections; to appear in JCAP

Scientific paper

10.1088/1475-7516/2009/09/002

Non-Gaussianity may exist in the CDM isocurvature perturbation. We provide general expressions for the bispectrum and trispectrum of both adiabatic and isocurvature pertubations. We apply our result to the QCD axion case, and found a consistency relation between the coefficients of the bispectrum and trispectrum : tau_{NL}^(iso)~10^3 [f_{NL}^(iso)]^{4/3}, if the axion is dominantly produced by quantum fluctuation. Thus future observations of the trispectrum, as well as the bispectrum, will be important for understanding the origin of the CDM and baryon asymmetry.

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