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2020

Application of peaks theory to the abundance of primordial black holes

Young, Sam, Musso, Marcello

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We consider the application of peaks theory to the calculation of the number density of peaks relevant for primordial black hole (PBH) formation.

For PBHs, the final mass is related to the amplitude and scale of the perturbation from which it forms, where the scale is defined as the scale at which the compaction function peaks.
We therefore extend peaks theory to calculate not only the abundance of peaks of a given amplitude, but peaks of a given amplitude and scale.
A simple fitting formula is given in the high-peak limit relevant for PBH formation.

Application of peaks theory to the abundance of primordial black holes · Around

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S. Young, I. Musco and C. T. Byrnes, Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation , JCAP 1911
Original
1904
Earlier work this paper cites.
V. De Luca, G. Franciolini, A. Kehagias, M. Peloso, A. Riotto and C. Ünal, The Ineludible non-Gaussianity of the Primordial Black Hole Abundance , JCAP 1907
Original
1904
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S. Young, The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function , International Journal of Modern Physics D (2020) 2030002 [ 1905.01230 ]
Original
1905
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A. Moradinezhad Dizgah, G. Franciolini and A. Riotto, Primordial Black Holes from Broad Spectra: Abundance and Clustering , JCAP 1911
Original
1906
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A. Kalaja, N. Bellomo, N. Bartolo, D. Bertacca, S. Matarrese, I. Musco et al., From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back) , JCAP 1910
Original
1908
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T. Suyama and S. Yokoyama, A novel formulation of the PBH mass function , 1912.04687
Original
1912
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C. Germani and R. K. Sheth, Non-linear statistics of primordial black holes from gaussian curvature perturbations , 1912.07072
Original
1912
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J. M. Bardeen, J. R. Bond, N. Kaiser and A. S. Szalay, The Statistics of Peaks of Gaussian Random Fields , Astrophys. J. 304
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J. C. Niemeyer and K. Jedamzik, Near-critical gravitational collapse and the initial mass function of primordial black holes , Phys. Rev. Lett. 80
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Similar

V. De Luca, G. Franciolini and A. Riotto, On the Primordial Black Hole Mass Function for Broad Spectra , 2001.04371
Original
2001
Cited alongside, same era.
T. Matsubara, The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions , 2001.05702
Original
2001
Cited alongside, same era.
A. M. Green, A. R. Liddle, K. A. Malik and M. Sasaki, A New calculation of the mass fraction of primordial black holes , Phys. Rev. D70
2004
Cited alongside, same era.
I. Musco, J. C. Miller and A. G. Polnarev, Primordial black hole formation in the radiative era: Investigation of the critical nature of the collapse , Class. Quant. Grav. 26
Original
2009
Cited alongside, same era.
C. T. Byrnes, E. J. Copeland and A. M. Green, Primordial black holes as a tool for constraining non-Gaussianity , Phys. Rev. D86

Then

S. Young, C. T. Byrnes and M. Sasaki, Calculating the mass fraction of primordial black holes , JCAP 1407
Original
2014
Later among the works it cites.
S. Young, D. Regan and C. T. Byrnes, Influence of large local and non-local bispectra on primordial black hole abundance , JCAP 1602
Original
2016
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T. Lazeyras, M. Musso and V. Desjacques, Lagrangian bias of generic large-scale structure tracers , Phys. Rev. D93
Original
2016
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B. Carr, M. Raidal, T. Tenkanen, V. Vaskonen and H. Veermae, Primordial black hole constraints for extended mass functions , Phys. Rev. D96
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2017
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S. Clesse and J. Garcia-Bellido, Seven Hints for Primordial Black Hole Dark Matter , Phys. Dark Univ. 22

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