Large trispectrum in two-field slow-roll inflation

Details Large trispectrum in two-field slow-roll inflation Large trispectrum in two-field slow-roll inflation

2012-03-30

arxiv.org/abs/1203.6844v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

35 pages including appendices, 7 figures

Scientific paper

We calculate the conditions required to produce a large local trispectrum during two-field slow-roll inflation. This is done by extending and simplifying the 'heatmap' approach developed by Byrnes et al. The conditions required to generate a large trispectrum are broadly the same as those that can produce a large bispectrum. We derive a simple relation between tauNL and fNL for models with separable potentials, and furthermore show that gNL and tauNL can be related in specific circumstances. Additionally, we interpret the heatmaps dynamically, showing how they can be used as qualitative tools to understand the evolution of non-Gaussianity during inflation. We also show how fNL, tauNL and gNL are sourced by generic shapes in the inflationary potential, namely ridges, valleys and inflection points.

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