Primordial black holes and local non-Gaussianity in canonical inflation

Passaglia, Samuel; Hu, Wayne; Motohashi, Hayato

doi:10.1103/PhysRevD.99.043536

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

Journal Article · Tue Feb 26 00:00:00 EST 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.99.043536· OSTI ID:1593871

Passaglia, Samuel ^[1]; Hu, Wayne ^[1]; Motohashi, Hayato ^[2]

Univ. of Chicago, IL (United States). Enrico Fermi Inst.
Kyoto Univ. (Japan)

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

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Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009924; FG02-13ER41958

OSTI ID:: 1593871

Alternate ID(s):: OSTI ID: 1496661

Journal Information:: Physical Review D, Vol. 99, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 93 works

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