Signatures of non-Gaussianity in the curvaton model

By K. Enqvist, Tomo Takahashi. 2008

138 citations recorded by the source corpus.

We discuss the signatures of non-Gaussianity in the curvaton model where the potential includes also a non-quadratic term. In such a case the non-linearity parameter fNL can become very small, and we show that non-Gaussianity is then encoded in the non-reducible non-linearity parameter gNL of the trispectrum, which can be very large. Thus the place to look for the non-Gaussianity in the curvaton model may be the trispectrum rather than the bispectrum. We also show that gNL measures directly the deviation of the curvaton potential from the purely quadratic form. While gNL depends on the strength of the non-quadratic terms relative to the quadratic one, we find that for reasonable cases roughly –, which are values that may well be accessible by future observations.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b794f7590e3d6bd79f07485b5eb88988023c292c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Kiwoon Choi
2. Xingang Chen
3. C. Byrnes

In Astronomy and Astrophysics

1. Kiwoon Choi
2. C. Byrnes
3. Xingang Chen
4. Yi Wang
5. D. Seery
6. E. Pajer
7. D. Baumann
8. E. Komatsu

In Nuclear and High Energy Physics

1. Kiwoon Choi
2. C. Byrnes
3. Xingang Chen
4. Yi Wang
5. D. Baumann
6. E. Pajer
7. E. Komatsu
8. D. Seery

Citations in the corpus

• Review of local non-Gaussianity from multi-field inflation (2010, result): “In contrast, it has been shown in several papers [127, 138–142] that in the curvaton scenario where the curvaton has a nonquadratic potential it is possible to realise |gNL| 1 while τNL = (6 fNL/5) 2 is small with some tuning of parameters.”
• Primordial Non-Gaussianities from Inflation Models (2010, methodology): “We use the curvaton model [143–151] as an example to illustrate the generation of large local non-Gaussianity.”