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Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
journal contribution
posted on 2023-06-08, 06:08 authored by David SeeryDavid Seery, J Carlos HidalgoWe show how to obtain the probability density function for the amplitude of the curvature perturbation, R, produced during an epoch of slow-roll, single-field inflation, working directly from n-point correlation functions of R. These n-point functions are the usual output of quantum field theory calculations, and as a result we bypass approximate statistical arguments based on the central limit theorem. Our method can be extended to deal with arbitrary forms of non-Gaussianity, appearing at any order in the n-point hierarchy. We compute the probability density for the total smoothed perturbation within a Hubble volume, epsilon, and for the spectrum of epsilon. When only the two-point function is retained, exact Gaussian statistics are recovered. When the three-point function is taken into account, we compute explicitly the leading slow-roll correction to the Gaussian result.
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- Published
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Journal of Cosmology and Astroparticle PhysicsExternal DOI
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7Volume
2006Page range
008Department affiliated with
- Physics and Astronomy Publications
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- No
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- Yes
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2012-02-06Usage metrics
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