Higher order statistics of curvature perturbations in IFF model and its Planck constraints

Abstract

We compute the power spectrum P_ζ, and non-linear parameters f_nl and τ_nl of the curvature perturbation induced during inflation by the electromagnetic fields in the kinetic coupling model (IFF model). By using the observational result of P_ζ, f_nl and τ_nl reported by the Planck collaboration, we study the constraint on the model comprehensively. Interestingly, if the single slow-rolling inflaton is responsible for the observed P_ζ, the constraint from τ_nl is most stringent. We also find a general relationship between f_nl and τ_nl generated in this model. Even if f_nl \sim O(1), a detectable τ_nl can be produced.

19 pages, 4 figures. ver. 3: minor revisions, references added

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