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We compute the power spectrum P_\zeta, and non-linear parameters f_nl and\tau_nl of the curvature perturbation induced during inflation by theelectromagnetic fields in the kinetic coupling model (IFF model). By using theobservational result of P_\zeta, f_nl and \tau_nl reported by the Planckcollaboration, we study the constraint on the model comprehensively.Interestingly, if the single slow-rolling inflaton is responsible for theobserved P_\zeta, the constraint from \tau_nl is most stringent. We also find ageneral relationship between f_nl and \tau_nl generated in this model. Even iff_nl \sim O(1), a detectable \tau_nl can be produced.

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