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Long-short wavelength mode coupling tightens primordial black hole constraints

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journal contribution
posted on 2023-06-12, 06:36 authored by Samuel Young, Christian ByrnesChristian Byrnes
The effects of non-Gaussianity on the constraints on the primordial curvature perturbation power spectrum from primordial black holes (PBHs) are considered. We extend previous analyses to include the effects of coupling between the modes of the horizon scale at the time the PBH forms and superhorizon modes. We consider terms of up to third order in the Gaussian perturbation. For the weakest constraints on the abundance of PBHs in the early universe (corresponding to a fractional energy density of PBHs of 10-5 at the time of formation), in the case of Gaussian perturbations, constraints on the power spectrum are P?<0.05 but can be significantly tighter when even a small amount of non-Gaussianity is considered, to P?<0.01, and become approximately P?<0.003 in more special cases. Surprisingly, even when there is negative skew (which naively would suggest fewer areas of high density, leading to weaker constraints), we find that the constraints on the power spectrum become tighter than the purely Gaussian case—in strong contrast with previous results. We find that the constraints are highly sensitive to both the non-Gaussianity parameters as well as the amplitude of superhorizon perturbations.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

1550-7998

Publisher

APS Physics

Issue

8

Volume

91

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-06-30

First Open Access (FOA) Date

2015-06-30

First Compliant Deposit (FCD) Date

2015-06-30

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