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.
Spectral Index in Curvaton Scenario
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abstract
A red tilted primordial power spectrum is preferred by WMAP five-year data and a large positive local-type non-Gaussianity $f_{NL}$ might be observed as well. In this short note we find that a red tilted and large non-Gaussian primordial power spectrum cannot be naturally obtained in curvaton model, because $f_{NL}$ is related to the initial condition of inflation.
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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.