Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-07-27
Phys.Rev.D74:103003,2006
Astronomy and Astrophysics
Astrophysics
16 pages, 6 figures. V2: minor typos corrected, references added. V3: minor changes to match better with the PRD version
Scientific paper
10.1103/PhysRevD.74.103003
We use the delta N -formalism to investigate the non-Gaussianity of the primordial curvature perturbation in the curvaton scenario for the origin of structure. We numerically calculate the full probability distribution function allowing for the non-instantaneous decay of the curvaton and compare this with analytic results derived in the sudden-decay approximation. We also present results for the leading-order contribution to the primordial bispectrum and trispectrum. In the sudden-decay approximation we derive a fully non-linear expression relating the primordial perturbation to the initial curvaton perturbation. As an example of how non-Gaussianity provides additional constraints on model parameters, we show how the primordial bispectrum on CMB scales can be used to constrain variance on much smaller scales in the curvaton field. Our analytical and numerical results allow for multiple tests of primordial non-Gaussianity, and thus they can offer consistency tests of the curvaton scenario.
Sasaki Misao
Väliviita Jussi
Wands David
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