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

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

2010-08-16

arxiv.org/abs/1008.2641v4

JCAP 1011:026,2010; Erratum-ibid.1102:E01,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages, 2 figures; v2, refs added; version accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2010/11/026 10

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. In addition, we also give a general discussion about the detectable parameter space for the curvaton model with a polynomial potential.

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