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We develop a primordial black hole (PBH) production mechanism, deriving non-Gaussian tails from interacting quantum fields during early universe inflation. The multi-field potential landscape may contain relatively flat directions, as a…

High Energy Physics - Theory · Physics 2020-07-07 George Panagopoulos , Eva Silverstein

It is becoming increasingly clear that large but rare fluctuations of the primordial curvature field, controlled by the tail of its probability distribution, could have dramatic effects on the current structure of the universe -- {\it e.g.}…

High Energy Physics - Theory · Physics 2022-05-25 Ana Achucarro , Sebastian Cespedes , Anne-Christine Davis , Gonzalo A. Palma

We study a model of two-field ultra-slow-roll (USR) inflation bounded by a curve in the field space. Curvature perturbations and non-Gaussianities can be enhanced both during the USR phase and from the inhomogeneities at the boundary. We…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-05 Sina Hooshangi , Alireza Talebian , Mohammad Hossein Namjoo , Hassan Firouzjahi

We study a single-field inflation model in which the inflaton potential has an upward step between two slow-roll regimes by taking into account the finite width of the step. We calculate the probability distribution function (PDF) of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-13 Ryodai Kawaguchi , Tomohiro Fujita , Misao Sasaki

Primordial black holes (PBHs) whose masses are in $\sim[10^{-15}M_\odot,10^{-11}M_{\odot}]$ have been extensively studied as a candidate of whole dark matter (DM). One of the probes to test such a PBH-DM scenario is scalar-induced…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-31 Katsuya T. Abe , Ryoto Inui , Yuichiro Tada , Shuichiro Yokoyama

We review the basic arguments for the likelihood of non-Gaussian density perturbations in inflation models with primordial black hole (PBH) production. We discuss our derived distributions of field fluctuations and their implications,…

Astrophysics · Physics 2007-05-23 James S. Bullock , Joel R. Primack

We present a generic framework to compute the one-point statistics of cosmological perturbations, when coarse-grained at an arbitrary scale $R$, in the presence of quantum diffusion. Making use of the stochastic-$\delta N$ formalism, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-06 Yuichiro Tada , Vincent Vennin

If the inflaton gets trapped in a local minimum of its potential shortly before the end of inflation, it escapes by building up quantum fluctuations in a process known as stochastic tunnelling. In this work we study cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-24 Chiara Animali , Vincent Vennin

We present a complete analytic and semi-analytic study of gravitational collapse and primordial black hole (PBH) formation in the quadratic $f(R)$ model $f(R)=R+\alpha R^2$. We first derive the perturbative expansion around General…

General Relativity and Quantum Cosmology · Physics 2026-01-07 G. G. L. Nashed

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

The curvature perturbations produced during an early era of inflation are known to have quasi-Gaussian distribution functions close to their maximum, where they are well constrained by measurements of the cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-08 Jose María Ezquiaga , Juan García-Bellido , Vincent Vennin

The formation and abundance of primordial black holes (PBHs) arising from the curvature perturbation $\zeta$ is studied. The non-linear relation between $\zeta$ and the density contrast $\delta$ means that, even when $\zeta$ has an exactly…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-15 Sam Young , Ilia Musco , Christian T. Byrnes

In this work, we explore the production of primordial black holes (PBHs) within the context of $\alpha$-attractor inflationary models, focusing on the preheating phase following inflation. During this phase, self-resonance instabilities…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-26 Daniel del-Corral , Paolo Gondolo , K. Sravan Kumar , João Marto

In this paper, we investigate and develop a new approach to the numerical analysis and characterization of random fluctuations with heavy-tailed probability distribution function (PDF), such as turbulent heat flow and solar flare…

Statistical Mechanics · Physics 2017-03-22 Mohsen Ghasemi Nezhadhaghighi , Abbas Nakhlband

We investigate a mechanism of primordial black hole (PBH) formation that avoids any dependence on specific inflationary features or exotic physics. In this scenario, the required large curvature fluctuations leading to PBH formation are…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Ioanna Stamou , Sebastien Clesse

We study the impact of stochastic noise on the generation of primordial black hole (PBH) seeds in ultra-slow-roll (USR) inflation with numerical simulations. We consider the non-linearity of the system by consistently taking into account…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-22 Daniel G. Figueroa , Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

The production rate of primordial black holes is often calculated by considering a nearly Gaussian distribution of cosmological perturbations, and assuming that black holes will form in regions where the amplitude of such perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo , Tomohiro Harada , Jaume Garriga , Kazunori Kohri

We investigate primordial black hole (PBH) formation in a cosmological scenario where curvature perturbations follow purely quadratic non-Gaussianity, $\zeta = A(\phi^2-\langle\phi^2\rangle)$, arising from tachyonic instability in…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 He-Xu Zhang , Mei Huang

We consider quantum diffusion in ultra-slow-roll (USR) inflation. Using the $\Delta N$ formalism, we present the first stochastic calculation of the probability distribution $P(\mathcal{R})$ of the curvature perturbation during USR. We…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-22 Daniel G. Figueroa , Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

Heavy quark parton distribution functions (PDFs) play an important role in several Standard Model and New Physics processes. Most PDF analyses rely on the assumption that the charm and bottom PDFs are generated perturbatively by gluon…

High Energy Physics - Phenomenology · Physics 2016-08-17 A. Kusina