Conditions for large non-Gaussianity in two-field slow-roll inflation

Details Conditions for large non-Gaussianity in two-field slow-roll inflation Conditions for large non-Gaussianity in two-field slow-roll inflation

2008-07-07

arxiv.org/abs/0807.1101v2

JCAP 0810:008,2008

Astronomy and Astrophysics

Astrophysics

16 pages, 6 figures, 1 table, v2: typos corrected and references added, matches version accepted by JCAP

Scientific paper

10.1088/1475-7516/2008/10/008

We study the level of primordial non-Gaussianity in slow-roll two-field inflation. Using an analytic formula for the nonlinear parameter f_nl in the case of a sum or product separable potential, we find that it is possible to generate significant non-Gaussianity even during slow-roll inflation with Gaussian perturbations at Hubble exit. In this paper we give the general conditions to obtain large non-Gaussianity and calculate the level of fine-tuning required to obtain this. We present explicit models in which the non-Gaussianity at the end of inflation can exceed the current observational bound of |f_nl|<100.

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