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The inflationary origin of primordial black holes (PBHs) relies on a large enhancement of the power spectrum $\Delta_\zeta$ of the curvature fluctuation $\zeta$ at wavelengths much shorter than those of the cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-17 Gonzalo A. Palma , Spyros Sypsas , Cristobal Zenteno

We re-analyse current single-field inflationary models related to primordial black holes formation. We do so by taking into account recent developments on the estimations of their abundances and the influence of non-gaussianities. We show…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-14 Vicente Atal , Cristiano Germani

We develop an exact formalism for the computation of the abundance of primordial black holes (PBHs) in the presence of local non-gaussianity (NG) in the curvature perturbation field. For the first time, we include NG going beyond the widely…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-20 Giacomo Ferrante , Gabriele Franciolini , Antonio Junior Iovino , Alfredo Urbano

A significant abundance of primordial black hole (PBH) dark matter can be produced by curvature perturbations with power spectrum $\Delta_\zeta^2(k_{\mathrm{peak}})\sim \mathcal{O}(10^{-2})$ at small scales, associated with the generation…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Fengge Zhang , Jiong Lin , Yizhou Lu

We present a study of the Effective Field Theory (EFT) generalization of stochastic inflation in a model-independent single-field framework and its impact on primordial black hole (PBH) formation. We show how the Langevin equations for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-24 Sayantan Choudhury , Ahaskar Karde , Pankaj Padiyar , M. Sami

Primordial black holes (PBHs) may result from high peaks in a random field of cosmological perturbations. In single field inflationary models, such perturbations can be seeded as the inflaton overshoots a small barrier on its way down the…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Vicente Atal , Judith Cid , Albert Escrivà , Jaume Garriga

The exact expression for the probability density $p_{_N}(x)$ for sums of a finite number $N$ of random independent terms is obtained. It is shown that the very tail of $p_{_N}(x)$ has a Gaussian form if and only if all the random terms are…

Probability · Mathematics 2013-05-29 Michael I. Tribelsky

It is generally assumed within the standard cosmological model that initial density perturbations are Gaussian at all scales. However, primordial quantum diffusion unavoidably generates non-Gaussian, exponential tails in the distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-21 Jose María Ezquiaga , Juan García-Bellido , Vincent Vennin

We study the generation of a localized peak in the primordial spectrum of curvature perturbations from a transient dissipative phase during inflation, leading to a large population of primordial black holes. The enhancement of the power…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-16 Guillermo Ballesteros , Marcos A. G. García , Alejandro Pérez Rodríguez , Mathias Pierre , Julián Rey

We introduce a novel framework to implement stochastic inflation on stochastic trees, modelling the inflationary expansion as a branching process. Combined with the $\delta N$ formalism, this allows us to generate real-space maps of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-13 Chiara Animali , Pierre Auclair , Baptiste Blachier , Vincent Vennin

We use the delta N-formalism to describe the leading order contributions to the primordial power spectrum, bispectrum and trispectrum in multiple-field models of inflation at leading order in a perturbative expansion. In slow-roll models…

Astrophysics · Physics 2008-11-26 Christian T. Byrnes , Misao Sasaki , David Wands

There is controversy surrounding the origin and evolution of our universe's largest supermassive black holes (SMBHs). In this study, we consider the possibility that some of these black holes formed from the direct collapse of primordial…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-21 Dan Hooper , Aurora Ireland , Gordan Krnjaic , Albert Stebbins

We study the dynamics of a spectator Higgs field which stochastically evolves during inflation onto near-critical trajectories on the edge of a runaway instability. We show that its fluctuations do not produce primordial black holes (PBHs)…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-24 Samuel Passaglia , Wayne Hu , Hayato Motohashi

In this paper, we show that if passive fluctuations are considered, primordial black holes (PBHs) can be easily produced in the framework of single-field, slow-roll inflation models. The formation of PBHs is due to the blue spectrum of…

High Energy Physics - Phenomenology · Physics 2015-06-05 Chia-Min Lin , Kin-Wang Ng

We investigate the explicit role of negative local non-Gaussianity, $f_{\rm NL}$, in suppressing the abundance of primordial black holes (PBHs) in the single-field model of Galileon inflation. PBH formation requires significantly enhancing…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Sayantan Choudhury , Kritartha Dey , Ahaskar Karde , Sudhakar Panda , M. Sami

This study investigates the formation of primordial black holes (PBHs) resulting from the collapse of adiabatic fluctuations with large amplitudes and non-Gaussianity. Ref. \cite{Uehara:2024yyp} showed that fluctuations with large…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Masaaki Shimada , Albert Escrivá , Daiki Saito , Koichiro Uehara , Chul-Moon Yoo

We formulate the two-point correlation function of primordial black holes (PBHs) at their formation time, based on the functional integration approach which has often been used in the context of halo clustering. We find that PBH clustering…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-11 Teruaki Suyama , Shuichiro Yokoyama

We review the formalism of primordial black holes (PBHs) production and show that the mass variance at horizon crossing has been systematically overestimated in previous studies. We derive the correct expression. The difference is maximal…

Astrophysics · Physics 2009-11-07 Torsten Bringmann , Claus Kiefer , David Polarski

We consider the possibility of primordial black hole, PBH, formation sourced by a rise in the power spectrum. The power spectrum becomes large at late times due to decay of the inflaton into vectors through a $\phi F \tilde{F}$ coupling.…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-19 Jessica L. Cook

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee
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