On Classification of Models of Large Local-Type Non-Gaussianity

Details On Classification of Models of Large Local-Type Non-Gaussianity On Classification of Models of Large Local-Type Non-Gaussianity

2010-09-10

arxiv.org/abs/1009.1979v1

JCAP 1012:030,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

67 pages, 6 figures

Scientific paper

10.1088/1475-7516/2010/12/030

We classify models generating large local-type non-Gaussianity into some categories by using some "consistency relations" among the non-linearity parameters f_{NL}^{local}, \tau_{NL}^{local} and g_{NL}^{local}, which characterize the size of bispectrum for the former and trispectrum for the later two. Then we discuss how one can discriminate models of large local-type non-Gaussianity with such relations. We first classify the models by using the ratio of \tau_{NL}^{local}/(6f_{NL}^{local}/5)^2, which is unity for "single-source" models and deviates from unity for "multi-source" ones. We can make a further classification of models in each category by utilizing the relation between f_{NL}^{local} and g_{NL}^{local}. Our classification suggests that observations of trispectrum would be very helpful to distinguish models of large non-Gaussianity and may reveal the generation mechanism of primordial fluctuations.

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