Large Non-Gaussianity Implication for Curvaton Scenario

Abstract

We argue that the typical energy density of a light scalar field should not be less than $H^4$ in the inflationary Universe. This requirement implies that the non-Gaussianity parameter $f_{NL}$ is typically bounded by the tensor-scalar ratio $r$ from above, namely $f_{NL}\lesssim 518\cdot r^{\frac{1}{4}}$. If $f_{NL}=10^2$, inflation occurred around the GUT scale.

17 pages, 1 figure; minor clarification and refs added; version for publication in Phys.Lett.B

References in corpus (5)

• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Non-Gaussianities in New Ekpyrotic Cosmology
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Cited by in corpus (4)

• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• N-vaton
• Modulated Inflation
• Spectral Index in Curvaton Scenario