Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Gaussian tail of the curvature perturbation in stochastic
  ultra-slow-roll inflation: implications for primordial black hole production   We consider quantum diffusion in ultra-slow-roll (USR) inflation. Using the
$\Delta N$ formalism, we present the first stochastic calculation of the
probability distribution $P(\mathcal{R})$ of the curvature perturbation during
USR. We capture the non-linearity of the system, solving the coupled evolution
of the coarse-grained background with random kicks from the short wavelength
modes, simultaneously with the mode evolution around the stochastic background.
This leads to a non-Markovian process from which we determine the highly
non-Gaussian tail of $P(\mathcal{R})$. Studying the production of primordial
black holes in a viable model, we find that stochastic effects during USR
increase their abundance by a factor $\sim 10^5$ compared to the Gaussian
approximation.

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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio