Kavli Affiliate: Misao Sasaki
| First 5 Authors: Ryodai Kawaguchi, Tomohiro Fujita, Misao Sasaki, ,
| Summary:
We study a single-field inflation model in which the inflaton potential has
an upward step between two slow-roll regimes by taking into account the finite
width of the step. We calculate the probability distribution function (PDF) of
the curvature perturbation $P[{cal{R}}]$ using the $delta N$ formalism. The
PDF has an exponential-tail only for positive ${cal{R}}$ whose slope depends
on the step width. We find that the tail may have a significant impact on the
estimation of the primordial black hole abundance. We also show that the PDF
$P[{cal{R}}]$ becomes highly asymmetric on a particular scale exiting the
horizon before the step, at which the curvature power spectrum has a dip. This
asymmetric PDF may leave an interesting signature in the large scale structure
such as voids.
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