Signatures of Non-Gaussianity in the Curvaton Model

Abstract

We discuss the signatures of non-Gaussianity in the curvaton model where the potential includes also a non-quadratic term. In such a case the non-linearity parameter f_NL can become very small, and we show that non-Gaussianity is then encoded in the non-reducible non-linearity parameter g_NL of the trispectrum, which can be very large. Thus the place to look for the non-Gaussianity in the curvaton model may be the trispectrum rather than the bispectrum. We also show that g_NL measures directly the deviation of the curvaton potential from the purely quadratic form. While g_NL depends on the strength of the non-quadratic terms relative to the quadratic one, we find that for reasonable cases roughly g_NL\sim O(-10^4)-O(-10^5), which are values that may well be accessible by future observations.

10 pages, 4 figures

References in corpus (9)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Primordial trispectrum from inflation
• Probing String Theory with Modulated Cosmological Fluctuations
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• A numerical study of non-gaussianity in the curvaton scenario
• Large Non-Gaussianity Implication for Curvaton Scenario
• Identifying the curvaton within MSSM
• The SUGRA Quintessence Model Coupled to the MSSM

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