Closed-form probability distributions for the curvature perturbation are derived for four exactly solvable curvaton potentials, and the mass-decay-rate parameter space is split into regions by the probability of producing 10% to 100% of the observed signal.
Large Non-Gaussianity Implication for Curvaton Scenario
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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 $f_{NL}\lesssim 518\cdot r^{1\over 4}$. If $f_{NL}=10^2$, inflation occurred around the GUT scale.
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Curvaton distribution from stochastic inflation
Closed-form probability distributions for the curvature perturbation are derived for four exactly solvable curvaton potentials, and the mass-decay-rate parameter space is split into regions by the probability of producing 10% to 100% of the observed signal.