Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-22
Phys.Rev.D80:043527,2009
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 6 figures
Scientific paper
10.1103/PhysRevD.80.043527
We compute the tree-level connected four-point function of the primordial curvature perturbation for a fairly general minimally coupled single field inflationary model, where the inflaton's Lagrangian is a general function of the scalar field and its first derivatives. This model includes K-inflation and DBI-inflation as particular cases. We show that, at the leading order in the slow-roll expansion and in the small sound speed limit, there are two important tree-level diagrams for the trispectrum. One is a diagram where a scalar mode is exchanged and the other is a diagram where the interaction occurs at a point, i.e. a contact interaction diagram. The scalar exchange contribution is comparable to the contact interaction contribution. For the DBI-inflation model, in the so-called equilateral configuration, the scalar exchange trispectrum is maximized when the angles between the four momentum vectors are equal and in this case the amplitude of the trispectrum from the scalar exchange is one order of magnitude higher than the contact interaction trispectrum.
Arroja Frederico
Koyama Kazuya
Mizuno Shuntaro
Tanaka Takahiro
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