Dissecting the growth of the power spectrum for primordial black holes

Carrilho, P.; Malik, Karim A.; Mulryne, David J.

doi:10.1103/physrevd.100.103529

Cited by 113 publications

(146 citation statements)

References 38 publications

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“…For δN ¼ 1 the analytical result still constitutes a good prediction of Δ ζ ðkÞ. A salient feature of this mechanism is the rapid growth of Δ ζ ðkÞ evading known limitations in achieving steep enhancements in single-field models [63][64][65]. Together with Eq.…”

mentioning

confidence: 77%

Seeding Primordial Black Holes in Multifield Inflation

2020

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The inflationary origin of primordial black holes (PBHs) relies on a large enhancement of the power spectrum Δ ζ of the curvature fluctuation ζ at wavelengths much shorter than those of the cosmic microwave background anisotropies. This is typically achieved in models where ζ evolves without interacting significantly with additional (isocurvature) scalar degrees of freedom. However, quantum gravity inspired models are characterized by moduli spaces with highly curved geometries and a large number of scalar fields that could vigorously interact with ζ (as in the cosmological collider picture). Here we show that isocurvature fluctuations can mix with ζ inducing large enhancements of its amplitude. This occurs whenever the inflationary trajectory experiences rapid turns in the field space of the model leading to amplifications that are exponentially sensitive to the total angle swept by the turn, which induce characteristic observable signatures on Δ ζ. We derive accurate analytical predictions and show that the large enhancements required for PBHs demand noncanonical kinetic terms in the action of the multifield system.

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confidence: 77%

Seeding Primordial Black Holes in Multifield Inflation

2020

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“…Reference [59] studied the fastest possible growth of the primordial power spectrum that can be achieved in principle in single-field inflation with a period of USR, finding P(k) ∝ k 4 . Reference [112] subsequently showed that P(k) ∝ k 5 (log k) 2 can be achieved for a specific form of the pre-USR inflationary expansion. These constraints on the growth of the power spectrum are important because to form an interesting abundance of PBHs the amplitude has to grow significantly from its value on cosmological scales, while evading the constraints from spectral distortions on intermediate scales [59], see figure 1.…”

Section: Single-field Modelsmentioning

confidence: 99%

Primordial black holes as a dark matter candidate

Green

Kavanagh

2021

J. Phys. G: Nucl. Part. Phys.

548

406

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The detection of gravitational waves from mergers of tens of Solar mass black hole binaries has led to a surge in interest in primordial black holes (PBHs) as a dark matter candidate. We aim to provide a (relatively) concise overview of the status of PBHs as a dark matter candidate, circa Summer 2020. First we review the formation of PBHs in the early Universe, focussing mainly on PBHs formed via the collapse of large density perturbations generated by inflation. Then we review the various current and future constraints on the present day abundance of PBHs. We conclude with a discussion of the key open questions in this field.

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“…Ref. [108] claimed that the choice (m, n) = (4, 0) represents the steepest rise of the primordial power spectrum in the context of single-field inflation, however it was later shown that an even steeper rise, characterized by the parameters (m, n) = (5,2), is also possible [203]. We show in figure 8 both options, along with a third one, characterized by a milder rise (m, n) = (2, 0).…”

Section: The Reconstruction Of Primordial Power Spectrum Amplitude Anmentioning

confidence: 99%

From primordial black holes abundance to primordial curvature power spectrum (and back)

Kalaja

Bellomo

Bartolo

et al. 2019

J. Cosmol. Astropart. Phys.

108

105

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In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection however depends necessarily on the details of PBH formation mechanism. In this paper we provide, for the first time, constraints on the primordial curvature power spectrum from the latest limits on PBH abundance, taking into account all the steps from gravitational collapse in real space to PBH formation. In particular, we use results from numerical relativity simulations and peak theory to study the conditions for PBH formation for a range of perturbation shapes, including nonlinearities, perturbation profile and a careful treatment of smoothing and filtering scales. We then obtain updated PBH formation conditions and translate that into primordial spectrum constraints for a wide range of shapes and abundances. These updated constraints cover a range of scales not probed by other cosmological observables. Our results show that the correct and accurate modelling of non-linearities, filtering and typical perturbation profile, is crucial for deriving meaningful cosmological implications.

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Dissecting the growth of the power spectrum for primordial black holes

Cited by 113 publications

References 38 publications

Seeding Primordial Black Holes in Multifield Inflation

Seeding Primordial Black Holes in Multifield Inflation

Primordial black holes as a dark matter candidate

From primordial black holes abundance to primordial curvature power spectrum (and back)

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