Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO

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Autori principali: Choudhury, Sayantan, Karde, Ahaskar, Padiyar, Pankaj, Sami, M.
Natura: Preprint
Pubblicazione: 2024
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author Choudhury, Sayantan
Karde, Ahaskar
Padiyar, Pankaj
Sami, M.
author_facet Choudhury, Sayantan
Karde, Ahaskar
Padiyar, Pankaj
Sami, M.
contents 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 "soft" modes in quasi de Sitter background is described by the Infra-Red (IR) contributions of scalar perturbations, and the subsequent Fokker-Planck equation driving the probability distribution for the stochastic duration ${\cal N}$, significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic-$δN$ formalism is performed up to the next-to-next-to-next-to-leading order (NNNLO) for both the classical-drift and quantum-diffusion dominated regimes. In the drift-dominated limit, we perturbatively analyse the local non-Gaussianity parameters $(f_{\rm NL}, g_{\rm NL}, τ_{\rm NL})$ with the EFT-induced modifications. In the diffusion-dominated limit, we numerically compute the probability distribution featuring exponential tails at each order of perturbative treatment.
format Preprint
id arxiv_https___arxiv_org_abs_2403_13484
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
Choudhury, Sayantan
Karde, Ahaskar
Padiyar, Pankaj
Sami, M.
Cosmology and Nongalactic Astrophysics
Statistical Mechanics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
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 "soft" modes in quasi de Sitter background is described by the Infra-Red (IR) contributions of scalar perturbations, and the subsequent Fokker-Planck equation driving the probability distribution for the stochastic duration ${\cal N}$, significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic-$δN$ formalism is performed up to the next-to-next-to-next-to-leading order (NNNLO) for both the classical-drift and quantum-diffusion dominated regimes. In the drift-dominated limit, we perturbatively analyse the local non-Gaussianity parameters $(f_{\rm NL}, g_{\rm NL}, τ_{\rm NL})$ with the EFT-induced modifications. In the diffusion-dominated limit, we numerically compute the probability distribution featuring exponential tails at each order of perturbative treatment.
title Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
topic Cosmology and Nongalactic Astrophysics
Statistical Mechanics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2403.13484