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20182026
most citedNon-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production

125 citations · 1.1k across the 32 of their papers we have counts for

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24 papers · 1 filter

astro-ph.CO2026

To USR or not to USR: An effective description of two-field dynamics

Samuel Sánchez López, Eemeli Tomberg

Single-field models of inflection point inflation experience a phase of ultra-slow roll (USR), leading to amplified curvature perturbations. Recently, Lorenzoni et al. modified the…

astro-ph.CO2026

Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes

Chiara Animali, Pierre Auclair, Baptiste Blachier +2

We show how to compute the compaction function within stochastic inflation, by solving the random field dynamics on stochastic binary trees. In this framework, the compaction funct…

astro-ph.CO2025

Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function

Sami Raatikainen, Syksy Rasanen, Eemeli Tomberg

We study stochastic effects in viable ultra-slow-roll inflation models that produce primordial black holes. We consider asteroid, solar, and supermassive black hole seed masses. In…

astro-ph.CO2025★ 1 cited

Eternal inflation near inflection points: a challenge to primordial black hole models

Eemeli Tomberg, Konstantinos Dimopoulos

Inflation with an inflection point potential is a popular model for producing primordial black holes. The potential near the inflection point is approximately flat, with a local ma…

astro-ph.CO2025

How deep is the dip and how tall are the wiggles in inflationary power spectra?

Vadim Briaud, Alexandros Karam, Niko Koivunen +3

We study linear scalar perturbations in single-field models of inflation featuring a non-attractor phase. These models lead to a peak in the curvature power spectrum that may resul…

astro-ph.CO2024★ 5 cited

Itô, Stratonovich, and zoom-in schemes in stochastic inflation

Eemeli Tomberg

The Itô and Stratonovich approaches are two ways to integrate stochastic differential equations. Detailed knowledge of the origin of the stochastic noise is needed to determine whi…

astro-ph.CO2024

Stochastic Axion-like Curvaton: Non-Gaussianity and Primordial Black Holes Without Large Power Spectrum

Chao Chen, Anish Ghoshal, Gianmassimo Tasinato +1

We discuss a mechanism of primordial black hole (PBH) formation that does not require specific features in the inflationary potential, revisiting previous literature. In this mecha…

astro-ph.CO2024★ 1 cited

Primordial black hole numbers: standard formulas and charts

Eemeli Tomberg

This brief note presents standard computations of primordial black hole mass given perturbations of scale , and their late-time abundance given their initial…

astro-ph.CO2023★ 24 cited

Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation

Sami Raatikainen, Syksy Rasanen, Eemeli Tomberg

We study the formation of primordial black holes (PBH) with ultra-slow-roll inflation when stochastic effects are important. We use the formalism and simplify the stochastic e…

astro-ph.CO2023★ 50 cited

Stochastic constant-roll inflation and primordial black holes

Eemeli Tomberg

Stochastic inflation resolves primordial perturbations non-linearly, probing their probability distribution deep into its non-Gaussian tail. The strongest perturbations collapse in…

astro-ph.CO2022★ 26 cited

Numerical stochastic inflation constrained by frozen noise

Eemeli Tomberg

Stochastic inflation can resolve strong inflationary perturbations, which seed primordial black holes. I present a fast and accurate way to compute these perturbations in typical b…

astro-ph.CO2022★ 121 cited

Anatomy of single-field inflationary models for primordial black holes

Alexandros Karam, Niko Koivunen, Eemeli Tomberg +2

We construct an analytically solvable simplified model that captures the essential features for primordial black hole (PBH) production in most models of single-field inflation. The…

astro-ph.CO2022★ 15 cited

The Linear Regime of Tachyonic Preheating

Niko Koivunen, Eemeli Tomberg, Hardi Veermäe

Tachyonic preheating is realized when the inflaton repeatedly returns to a convex region of the potential during the post-inflationary oscillating phase. This will induce a strong…

astro-ph.CO2021★ 85 cited

Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation

Daniel G. Figueroa, Sami Raatikainen, Syksy Rasanen +1

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-li…

astro-ph.CO2021★ 8 cited

A numerical approach to stochastic inflation and primordial black holes

Eemeli Tomberg

Certain models of cosmic inflation produce strong cosmological perturbations at short length scales, which may later collapse into primordial black holes. To find the statistics of…

astro-ph.CO2021

Unit conversions and collected numbers in cosmology

Eemeli Tomberg

This note collects together useful unit conversions and numerical values from early universe cosmology. It is a quick reference that can be used to make easy order-of-magnitude est…

astro-ph.CO2021★ 23 cited

Tachyonic Preheating in Plateau Inflation

Eemeli Tomberg, Hardi Veermäe

Plateau inflation is an experimentally consistent framework in which the scale of inflation can be kept relatively low. Close to the edge of the plateau, scalar perturbations are s…

astro-ph.CO2021★ 45 cited

Tachyonic Preheating in Palatini Inflation

Alexandros Karam, Eemeli Tomberg, Hardi Veermäe

We study preheating in the Palatini formalism with a quadratic inflaton potential and an added term. In such models, the oscillating inflaton field repeatedly returns to the…

astro-ph.CO2020★ 125 cited

Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production

Daniel G. Figueroa, Sami Raatikainen, Syksy Rasanen +1

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

astro-ph.CO2020★ 35 cited

Critical point Higgs inflation in the Palatini formulation

Vera-Maria Enckell, Sami Nurmi, Syksy Rasanen +1

We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection…

astro-ph.CO2020★ 41 cited

Gravitational dark matter production in Palatini preheating

Alexandros Karam, Martti Raidal, Eemeli Tomberg

We study preheating in plateau inflation in the Palatini formulation of general relativity, in a special case that resembles Higgs inflation. It was previously shown that the oscil…

astro-ph.CO2020★ 35 cited

Initial conditions for plateau inflation: a case study

Tommi Tenkanen, Eemeli Tomberg

We study initial conditions for inflation in scenarios where the inflaton potential has a plateau shape. Such models are those most favored by Planck data and can be obtained in a…

astro-ph.CO2018★ 101 cited

Planck scale black hole dark matter from Higgs inflation

Syksy Rasanen, Eemeli Tomberg

We study the production of primordial black hole (PBH) dark matter in the case when the Standard Model Higgs coupled non-minimally to gravity is the inflaton. PBHs can be produced…

astro-ph.CO2018★ 73 cited

Higgs inflation at the hilltop

Vera-Maria Enckell, Kari Enqvist, Syksy Rasanen +1

We study inflation with the non-minimally coupled Standard Model Higgs in the case when quantum corrections generate a hilltop in the potential. We consider both the metric and the…