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Peaks and primordial black holes: the effect of non-Gaussianity

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arxiv 2201.13345 v3 pith:T75CX22Z submitted 2022-01-31 astro-ph.CO

classification astro-ph.CO
keywords non-gaussianityeffectmathrmpeaksprimordialabundanceconstraintsparameters
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abstract

In light of recent developments in the field, we re-evaluate the effect of local-type non-Gaussianity on the primordial black hole (PBH) abundance (and consequently, upon constraints on the primordial power spectrum arising from PBHs). We apply peaks theory to the full, non-linear compaction, finding that, whilst the effect of non-Gaussianity is qualitatively similar to previous findings, the effect is much less significant. It is found the non-Gaussianity parameters $f_\mathrm{NL}^\mathrm{local}$ and $g_\mathrm{NL}^\mathrm{local}$ typically need to be approximately 1 or 2 orders of magntiude larger respectively to have a similar to that previously found. The effect will be to weaken the dependance of PBH constraints on the primordial power spectrum on the non-Gaussianity parameters, as well as to dramatically weaken constraints on the non-Gaussianity parameters (and/or PBH abundance) arising from the non-observation of dark matter isocurvature modes. We also consider the correlation between the curvature perturbation $\zeta$ and the compaction $C$, finding that, whilst PBHs may form at rare peaks in $C$ these do not necessarily correspond to rare peaks in $\zeta$ - casting some doubt on many of the existing calculations of the PBH abundance.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Primordial black holes forming during kination: the trapped, the overdense, and the void

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    In one non-attractor inflation model, initially similar field fluctuations produce three distinct black-hole formation channels—trapped, overdense, void—with collapse thresholds determined by the full density profile,...

  2. Are Primordial Black Holes Truly Fine-Tuned?

    astro-ph.CO 2025-12 conditional novelty 5.0 of 10

    Using a normalized sensitivity measure γ=c/c̄, the authors find γ≈1 for three single-field ultra-slow-roll inflation models and conclude PBH production is not technically unnatural.

  3. Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.

  4. $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

    astro-ph.CO 2025-05 conditional novelty 5.0 of 10

    A reformulation of the δN formalism that counts e-folds forward and exploits the superhorizon correlation between field and velocity to express the curvature perturbation PDF as a one-dimensional change of variables.

  5. Cosmological constraints on small-scale primordial non-Gaussianity

    astro-ph.CO 2025-05 conditional novelty 4.0 of 10

    Current pulsar-timing, CMB, BAO and PBH data constrain the small-scale local f_NL to -10.0 < f_NL < 1.2 for a monochromatic primordial power spectrum, with that constraint conditional on the spectral amplitude A_zeta = 10^-2.

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