Ultra-slow-roll inflation with quantum diffusion
TLDR
In this paper, the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation was considered and the probability distribution function for the primordial density field was derived by deriving the characteristic function.Abstract:
We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation. We extend the stochastic-$\delta\mathcal{N}$ formalism to the ultra-slow-roll regime and show how this system can be solved analytically in both the classical-drift and quantum-diffusion dominated limits. By deriving the characteristic function, we are able to construct the full probability distribution function for the primordial density field. In the diffusion-dominated limit, we recover an exponential tail for the probability distribution, as found previously in slow-roll inflation. To complement these analytical techniques, we present numerical results found both by very large numbers of simulations of the Langevin equations, and through a new, more efficient approach based on iterative Volterra integrals. We illustrate these techniques with two examples of potentials that exhibit an ultra-slow-roll phase leading to the possible production of primordial black holes.read more
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New horizons for fundamental physics with LISA
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Journal ArticleDOI
Non-Gaussian Tail of the Curvature Perturbation in Stochastic Ultraslow-Roll Inflation: Implications for Primordial Black Hole Production.
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Journal ArticleDOI
Non-gaussianities for primordial black hole formation
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Journal ArticleDOI
New horizons for fundamental physics with LISA
K. G. Arun,Enis Belgacem,Robert Benkel,Laura Bernard,Emanuele Berti,Gianfranco Bertone,Marc Besancon,Diego Blas,Christian G. Böhmer,Richard Brito,Gianluca Calcagni,Alejandro Cárdenas-Avendaño,Katy Clough,Marco Crisostomi,V. De Luca,Daniela D. Doneva,Stephanie Escoffier,Jose María Ezquiaga,Pedro G. Ferreira,Pierre Fleury,Stefano Foffa,Gabriele Franciolini,Noemi Frusciante,Juan Garcia-Bellido,Carlos A. R. Herdeiro,Thomas Hertog,Tanja Hinderer,Philippe Jetzer,Lucas Lombriser,Elisa Maggio,Michele Maggiore,Michele Mancarella,Andrea Maselli,Sourabh Nampalliwar,David A. Nichols,Maria Okounkova,Paolo Pani,Vasileios Paschalidis,Alvise Raccanelli,Lisa Randall,Sébastien Renaux-Petel,Antonio Riotto,Milton Ruiz,A. Saffer,Mairi Sakellariadou,Ippocratis D. Saltas,Bangalore Suryanarayana Sathyaprakash,Lijing Shao,Carlos F. Sopuerta,Thomas P. Sotiriou,Nikolaos Stergioulas,Nicola Tamanini,Filippo Vernizzi,Helvi Witek,Kinwah Wu,Kent Yagi,Stoytcho S. Yazadjiev,Nicolás Yunes,Miguel Zilhão,Niayesh Afshordi,M. C. Angonin,Vishal Baibhav,Enrico Barausse,T. Barreiro,N. Bartolo,Nicolas Bellomo,Ido Ben-Dayan,Eric Bergshoeff,Sebastiano Bernuzzi,Daniele Bertacca,Swetha Bhagwat,Béatrice Bonga,Lior M. Burko,Geoffrey Compère,Giulia Cusin,A. Da Silva,Saurya Das,Claudia de Rham,Kyriakos Destounis,Emanuela Dimastrogiovanni,F. Duque,Richard Easther,Hontas Farmer,Matteo Fasiello,S. I. Fisenko,Kwinten Fransen,Jörg Frauendiener,Jonathan R. Gair,László Á. Gergely,Davide Gerosa,Leonardo Gualtieri,Wen-Biao Han,Aurélien Hees,Thomas Helfer,J. Hennig,Alexander C. Jenkins,E. Kajfasz,Nemanja Kaloper,Vladimir Karas,Bradley J. Kavanagh,Sergei A. Klioner,Savvas M. Koushiappas,Macarena Lagos,C. Le Poncin-Lafitte,Francisco S. N. Lobo,Charalampos Markakis,Prado Martín-Moruno,Carlos Martins,Sabino Matarrese,Daniel R. Mayerson,José P. Mimoso,Johannes Noller,Nelson J. Nunes,Roberto Oliveri,Giorgio Orlando,George J. Pappas,Igor Pikovski,Luigi Pilo,Jiří Podolský,Geraint Pratten,Tomislav Prokopec,H. Qi,Saeed Rastgoo,Angelo Ricciardone,Rocco Rollo,Diego Rubiera-Garcia,Olga Sergijenko,Stuart Shapiro,D. M. Shoemaker,Alessandro D. A. M. Spallicci,O. S. Stashko,Leo C. Stein,Gianmassimo Tasinato,Andrew J. Tolley,Elias C. Vagenas,Stefan Vandoren,Daniele Vernieri,Rodrigo Vicente,Toby Wiseman,V. I. Zhdanov,Miguel Zumalacárregui +140 more
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Journal ArticleDOI
Primordial black holes in peak theory with a non-Gaussian tail
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