Primordial non-Gaussianity up to all orders: Theoretical aspects and implications for primordial black hole models

Ferrante, Giacomo; Franciolini, Gabriele; Iovino, Antonio; Urbano, Alfredo

doi:10.1103/physrevd.107.043520

Cited by 56 publications

(50 citation statements)

References 113 publications

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“…The detection of Non-Gaussianity therefore offers important insights into the workings of inflation. The presence of even small amounts of primordial non-Gaussianity can also have a large impact on the amount of PBHs that are formed [39][40][41][42][43].…”

Section: Non-gaussianitymentioning

confidence: 99%

“…This also coincides with the condition that the local-type expansion, equation 2.2, gives a valid description of the statistics of the compaction (see ref. [42] for more discussion). We use M eq = 2.8 • 10 17 M [35,50] and choose M H = M throughout this paper, and note that the final constraints on the non-Gaussianity parameters depend only very weakly on this choice (see also the discussion in ref.…”

Section: Primordial Black Hole Formation and The Effect Of Non-gaussi...mentioning

confidence: 99%

“…In addition to the already mentioned effect on the total abundance of PBHs [39][40][41][42][43], non-Gaussianity can also lead to the production of isocurvature modes in the early universe. The modal coupling which can arise as a result of the non-Gaussianity means that the amplitude of small-scale perturbations can be coupled to a long wavelength perturbation.…”

Section: Primordial Black Hole Formation and The Effect Of Non-gaussi...mentioning

confidence: 99%

“…The Misner-Sharp mass gives the mass within a sphere of areal radius R(x, r, t) = a(t) exp(ζ(r))r with spherical coordinate radius r, centred around position x and evaluated at time t. Refs. [42,46] have recently considered the effect of localtype non-Gaussianity on the statistics of the compaction, and we will apply their methods here.…”

Section: Primordial Black Hole Formation and The Effect Of Non-gaussi...mentioning

confidence: 99%

“…The abundance of PBHs can be strongly affected by primordial non-Gaussianity in the density distribution [39][40][41][42][43]. It is therefore important to take non-Gaussianity into account when calculating PBH abundances, but we can also use this tight dependency to find constraints on the parameters that describe non-Gaussianity.…”

Section: Introductionmentioning

confidence: 99%

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Primordial black hole isocurvature modes from non-Gaussianity

Laak¹,

Young²

2023

Preprint

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Primordial black holes (PBHs) are black holes that might have formed in high density regions in the early universe. The presence of local-type non-Gaussianity can lead to large-scale fluctuations in the PBH formation rate. If PBHs make up a non-negligible fraction of dark matter, these fluctuations can appear as isocurvature modes, and be used to constrain the amplitude of non-Gaussianity. We build upon the results of previous work by extending the calculation to include peaks theory and making use of the compaction C for the formation criteria, accounting for non-linearities between C and the curvature perturbation ζ. For quadratic models of non-Gaussianity, our updated calculation gives constraints that are largely unaltered compared to those previously found, while for cubic models the constraints worsen significantly. In case all of the DM is made up of PBHs, the parameters of non-Gaussianity are −2.9 • 10 −4 < f < 3.8 • 10 −4 and −1.5 • 10 −3 < g < 1.9 • 10 −3 for quadratic and cubic models respectively.

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