One small step for an inflaton, one giant leap for inflation: A novel non-Gaussian tail and primordial black holes - INSPIRE

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One small step for an inflaton, one giant leap for inflation: A novel non-Gaussian tail and primordial black holes

Yi-Fu Cai
(
- USTC, Hefei and
- Hefei, CUST
)
,
Xiao-Han Ma
(
- USTC, Hefei and
- Hefei, CUST
)
,
Misao Sasaki
(
)
,
Dong-Gang Wang
(
- Cambridge U., DAMTP
)
,
Zihan Zhou
(
- Princeton U.
)

Dec 27, 2021

7 pages

Published in:

Phys.Lett.B 834 (2022) 137461

Published: Sep 23, 2022
and
Published: Nov 10, 2022

e-Print:

2112.13836 [astro-ph.CO]

DOI:

10.1016/j.physletb.2022.137461 (publication)

Report number:

YITP-22-143,
YITP-21-143

View in:

reference search65 citations

Citations per year

Abstract: (Elsevier B.V.)

We report a novel prediction from single-field inflation that even a tiny step in the inflaton potential can change our perception of primordial non-Gaussianities of the curvature perturbation. Our analysis focuses on the tail of probability distribution generated by an upward step transition between two stages of slow-roll evolution. The nontrivial background dynamics with off-attractor behavior is identified. By using a non-perturbative δN analysis, we explicitly show that a highly non-Gaussian tail can be generated by a tiny upward step, even when the conventional nonlinearity parameters

f_{NL}^{local}

,

g_{NL}^{local}

, etc. remain small. With this example, we demonstrate for the first time the sensitive dependence of non-perturbative effects on the tail of probability distribution. Our scenario has an inconceivable application to primordial black holes by either significantly boosting their abundance or completely forbidding their appearance.

Note:

7 pages, 4 figures

black hole: primordial
effect: nonperturbative
non-Gaussianity: primordial
inflaton: potential
curvature: perturbation
inflation
slow-roll approximation
background
attractor

References(60)

Figures(4)

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