Primordial black holes from effective field theory of stochastic single field inflation at NNNLO
Abstract 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 descr...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13644-2 |
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| author | Sayantan Choudhury Ahaskar Karde Pankaj Padiyar M. Sami |
| author_facet | Sayantan Choudhury Ahaskar Karde Pankaj Padiyar M. Sami |
| author_sort | Sayantan Choudhury |
| collection | DOAJ |
| description | Abstract 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 $$\mathcal {N}$$ N , significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic- $$\delta N$$ δ N 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 $$(f_\textrm{NL}, g_\textrm{NL}, \tau _\textrm{NL})$$ ( f NL , g NL , τ 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 | Article |
| id | doaj-art-abc587b529674ec7ac698c6992d670de |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-abc587b529674ec7ac698c6992d670de2025-01-19T12:36:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185117210.1140/epjc/s10052-024-13644-2Primordial black holes from effective field theory of stochastic single field inflation at NNNLOSayantan Choudhury0Ahaskar Karde1Pankaj Padiyar2M. Sami3Centre For Cosmology and Science Popularization (CCSP), SGT University, GurugramCentre For Cosmology and Science Popularization (CCSP), SGT University, GurugramCentre For Cosmology and Science Popularization (CCSP), SGT University, GurugramCentre For Cosmology and Science Popularization (CCSP), SGT University, GurugramAbstract 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 $$\mathcal {N}$$ N , significantly modify in the present EFT picture. An explicit perturbative analysis of the distribution function by implementing the stochastic- $$\delta N$$ δ N 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 $$(f_\textrm{NL}, g_\textrm{NL}, \tau _\textrm{NL})$$ ( f NL , g NL , τ 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.https://doi.org/10.1140/epjc/s10052-024-13644-2 |
| spellingShingle | Sayantan Choudhury Ahaskar Karde Pankaj Padiyar M. Sami Primordial black holes from effective field theory of stochastic single field inflation at NNNLO European Physical Journal C: Particles and Fields |
| title | Primordial black holes from effective field theory of stochastic single field inflation at NNNLO |
| title_full | Primordial black holes from effective field theory of stochastic single field inflation at NNNLO |
| title_fullStr | Primordial black holes from effective field theory of stochastic single field inflation at NNNLO |
| title_full_unstemmed | Primordial black holes from effective field theory of stochastic single field inflation at NNNLO |
| title_short | Primordial black holes from effective field theory of stochastic single field inflation at NNNLO |
| title_sort | primordial black holes from effective field theory of stochastic single field inflation at nnnlo |
| url | https://doi.org/10.1140/epjc/s10052-024-13644-2 |
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