Trispectrum estimation in various models of equilateral type non-Gaussianity

Details Trispectrum estimation in various models of equilateral type non-Gaussianity Trispectrum estimation in various models of equilateral type non-Gaussianity

2011-09-17

arxiv.org/abs/1109.3746v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

16 pages, 3 figures; (v2) minor revisions, reference added

Scientific paper

We calculate the shape correlations between trispectra in various equilateral non-Gaussian models, including DBI inflation, ghost inflation and Lifshitz scalars, using the full trispectrum as well as the reduced trispectum. We find that most theoretical models are distinguishable from the shapes of primordial trispectra except for several exceptions where it is difficult to discriminate between the models, such as single field DBI inflation and a Lifshitz scalar model. We introduce an estimator for the amplitude of the trispectrum, $g_{\rm NL} ^{equil}$ and relate it to model parameters in various models. Using constraints on $g_{\rm NL} ^{equil}$ from WMAP5, we give constraints on the model parameters.

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