Accurate model for the primordial black hole mass distribution from a peak in the power spectrum

Gow, Andrew D, Byrnes, Christian T and Hall, Alex (2022) Accurate model for the primordial black hole mass distribution from a peak in the power spectrum. Physical Review D, 105 (2). a023503. ISSN 2470-0010

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We examine the shape of the primordial black hole mass distribution arising from a peak in the primordial power spectrum. In light of improvements to the modeling, we revisit the claim that the effects of critical collapse produce a distribution that is not described by the commonly assumed lognormal, showing that this conclusion remains valid, particularly for narrow peaks where the shape of the mass distribution is insensitive to the peak properties and critical collapse determines a minimum width. We propose some alternative models that may better describe the shape, both for the narrow peak case and for much broader peaks where the effect of the peak shape is significant. We highlight the skew-lognormal and a generalized model motivated by the physics of critical collapse as the best of these possible alternatives. These models can be used as an accurate and fast approximation to the numerically calculated mass distribution, allowing for efficient implementation in an MCMC analysis. We advocate the use of one of these two models instead of the lognormal with sufficiently accurate data, such as future LIGO–Virgo observations, or when considering strongly mass dependent constraints on the PBH abundance.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 25 Jan 2022 09:02
Last Modified: 03 Mar 2022 13:26

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Project NameSussex Project NumberFunderFunder Ref
Primordial black holes, dark matter and inflationG2281ROYAL SOCIETYRGF/EA/180008
Reaching a qualitatively new understanding of the post-Planck universeG1935ROYAL SOCIETYUF150683
University of Sussex Astronomy Consolidated Grant 2017-2020G2050STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/P000525/1
University of Sussex Astronomy Consolidated Grant 2020-2023G2954STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/T000473/1