4.6 Article

Primordial trispectrum from isocurvature fluctuations

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2011/02/020

Keywords

non-gaussianity; physics of the early universe; cosmological perturbation theory

Funding

  1. ANR (Agence Nationale de la Recherche) [ANR-09-BLAN-0157]
  2. Ministry of Education, Science, Sports, and Culture, Japan [19740145]
  3. Grants-in-Aid for Scientific Research [19740145] Funding Source: KAKEN
  4. Agence Nationale de la Recherche (ANR) [ANR-09-BLAN-0157] Funding Source: Agence Nationale de la Recherche (ANR)

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We study non-Gaussianity generated by adiabatic and isocurvature primordial perturbations. We first obtain, in a very general setting, the non-linear perturbations, up to third order, for an arbitrary number of cosmological fluids, going through one or several decay transitions. We then apply this formalism to the mixed curvaton and inflaton model, allowing for several decay channels. We compute the various contributions to the bispectrum and trispectrum resulting from adiabatic and isocurvature perturbations, which are correlated in general. By investigating some hybrid decay scenario, we show that significant nonGaussianity of adiabatic and isocurvature types can be generated without conflicting with the present isocurvature constraints from the power spectrum. In particular, we find cases where non-Gaussianity of isocurvature origin can dominate its adiabatic counterpart, both in the bispectrum and in the trispectrum.

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