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Large |η| approach to single field inflation

Gianmassimo Tasinato Orcid Logo

Physical Review D, Volume: 108, Issue: 4

Swansea University Author: Gianmassimo Tasinato Orcid Logo

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DOI (Published version): 10.1103/physrevd.108.043526

Abstract

Single field models of inflation capable of producing primordial black holes usually require a significant departure from the standard, perturbative slow-roll regime. In fact, in many of these scenarios, the size of the slow-roll parameter |η| becomes larger than one during a short phase of inflatio...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa64672
Abstract: Single field models of inflation capable of producing primordial black holes usually require a significant departure from the standard, perturbative slow-roll regime. In fact, in many of these scenarios, the size of the slow-roll parameter |η| becomes larger than one during a short phase of inflationary evolution. In order to develop an analytical control on these systems, we explore the limit of |η| large, and promote 1/|η| to a small quantity to be used for perturbative expansions. Formulas simplify, and we obtain analytic expressions for the two and three point functions of curvature fluctuations, which share some of the features found in realistic inflationary models generating primordial black holes. We study one-loop corrections in this framework: we discuss criteria for adsorbing ultraviolet divergences into the available parameters, leaving log-enhanced infrared contributions of controllable size.
Keywords: |η|, single field inflation, primordial black holes, one-loop corrections
College: Faculty of Science and Engineering
Funders: G. T. is partially funded by the STFC Grant No. ST/T000813/1.
Issue: 4

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