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Strongly scale-dependent polyspectra from curvaton self-interactions · Around

2011

Strongly scale-dependent polyspectra from curvaton self-interactions

Byrnes, Christian T., Enqvist, Kari, Nurmi, Sami et al.

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We study the scale dependence of the non-linearity parameters f_NL and g_NL in curvaton models with self-interactions.

We show that the spectral indices n_fNL=d ln|f_NL|/(d ln k) and n_gNL=d ln |g_NL|/(d ln k) can take values much greater than the slow--roll parameters and the spectral index of the power spectrum.
This means that the scale--dependence of the bi and trispectrum could be easily observable in this scenario with Planck, which would lead to tight additional constraints on the model.
Inspite of the highly non-trivial behaviour of f_NL and g_NL in the curvaton models with self-interactions, we find that the model can be falsified if g_NL(k) is also observed.

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