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2010

Negative spectral index of $f_{NL}$ in the axion-type curvaton model

Huang, Qing-Guo

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We derive the spectral index of $f_{NL}$ and its running from isocurvature single field and investigate the curvaton models with a negative spectral index of $f_{NL}$ in detail.

In particular, a numerical study of the axion-type curvaton model is illustrated, and we find that the spectral index of $f_{NL}$ is negative and its absolute value is maximized around $\sigma_*=\pi f/2$ for the potential $V(\sigma)=m^2f^2(1-\cos{\sigma\over f})$.
The spectral index of $f_{NL}$ can be ${\cal O}(-0.1)$ for the axion-type curvaton model.
A convincing detection of a positive $n_{f_{NL}}$ will rule out the axion-type curvaton model.

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