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Title: Primordial black holes and local non-Gaussianity in canonical inflation

Abstract

Primordial black holes (PBHs) cannot be produced abundantly enough to be the dark matter in canonical single-field inflation under slow roll. This conclusion is robust to local non-Gaussian correlations between long- and short-wavelength curvature modes, which we show have no effect in slow roll on local primordial black hole abundances. For the prototypical model which evades this no go, ultra-slow roll (USR), these squeezed non-Gaussian correlations have at most an order unity effect on the variance of PBH-producing curvature fluctuations for models that would otherwise fail to form sufficient PBHs. Moreover, the transition out of USR, which is necessary for a success fulmodel, suppresses even this small enhancement unless it causes a large increase in the inflaton kinetic energy in a fraction of ane-fold, which we call a large and fast transition. Along the way we apply the in-in formalism, the $δN$ formalism, and gauge transformations to compute non-Gaussianities and illuminate different aspects of the physical origin of these results. Local non-Gaussianity in the squeezed limit does not weaken the Gaussian conclusion that PBHs as dark matter in canonical single-field inflation require a complicated and fine-tuned potential shape with an epoch where slow roll is transiently violated

Authors:
 [1];  [1];  [2]
  1. Univ. of Chicago, IL (United States). Enrico Fermi Inst.
  2. Kyoto Univ. (Japan)
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1593871
Alternate Identifier(s):
OSTI ID: 1496661
Grant/Contract Number:  
SC0009924; FG02-13ER41958
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Passaglia, Samuel, Hu, Wayne, and Motohashi, Hayato. Primordial black holes and local non-Gaussianity in canonical inflation. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.043536.
Passaglia, Samuel, Hu, Wayne, & Motohashi, Hayato. Primordial black holes and local non-Gaussianity in canonical inflation. United States. doi:10.1103/PhysRevD.99.043536.
Passaglia, Samuel, Hu, Wayne, and Motohashi, Hayato. Tue . "Primordial black holes and local non-Gaussianity in canonical inflation". United States. doi:10.1103/PhysRevD.99.043536. https://www.osti.gov/servlets/purl/1593871.
@article{osti_1593871,
title = {Primordial black holes and local non-Gaussianity in canonical inflation},
author = {Passaglia, Samuel and Hu, Wayne and Motohashi, Hayato},
abstractNote = {Primordial black holes (PBHs) cannot be produced abundantly enough to be the dark matter in canonical single-field inflation under slow roll. This conclusion is robust to local non-Gaussian correlations between long- and short-wavelength curvature modes, which we show have no effect in slow roll on local primordial black hole abundances. For the prototypical model which evades this no go, ultra-slow roll (USR), these squeezed non-Gaussian correlations have at most an order unity effect on the variance of PBH-producing curvature fluctuations for models that would otherwise fail to form sufficient PBHs. Moreover, the transition out of USR, which is necessary for a success fulmodel, suppresses even this small enhancement unless it causes a large increase in the inflaton kinetic energy in a fraction of ane-fold, which we call a large and fast transition. Along the way we apply the in-in formalism, the $δN$ formalism, and gauge transformations to compute non-Gaussianities and illuminate different aspects of the physical origin of these results. Local non-Gaussianity in the squeezed limit does not weaken the Gaussian conclusion that PBHs as dark matter in canonical single-field inflation require a complicated and fine-tuned potential shape with an epoch where slow roll is transiently violated},
doi = {10.1103/PhysRevD.99.043536},
journal = {Physical Review D},
number = 4,
volume = 99,
place = {United States},
year = {2019},
month = {2}
}

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