Waterfall field in hybrid inflation and curvature perturbation

Details Waterfall field in hybrid inflation and curvature perturbation Waterfall field in hybrid inflation and curvature perturbation

2010-10-17

arxiv.org/abs/1010.3405v3

JCAP 1103:028,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

(v1) 23 pages, 1 figure; (v2) 26 pages, discussions expanded including a new appendix section and references added; (v3) minor

Scientific paper

10.1088/1475-7516/2011/03/028

We study carefully the contribution of the waterfall field to the curvature perturbation at the end of hybrid inflation. In particular we clarify the parameter dependence analytically under reasonable assumptions on the model parameters. After calculating the mode function of the waterfall field, we use the delta N formalism and confirm the previously obtained result that the power spectrum is very blue with the index 4 and is absolutely negligible on large scales. However, we also find that the resulting curvature perturbation is highly non-Gaussian and hence we calculate the bispectrum. We find that the bispectrum is at leading order independent of momentum and exhibits its peak at the equilateral limit, though it is unobservably small on large scales. We also present the one-point probability distribution function of the curvature perturbation.

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