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July 9, 2020 to January 31, 2025
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A large ∣η∣ approach to single field inflation

Jun 27, 2023, 3:00 PM
1h 20m


Gianmassimo Tasinato (Universita di Bologna & Swansea University)


Single field models of inflation capable to produce 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, I explore the limit of ∣η∣ large, and promote 1/∣η| to a small quantity to be used for perturbative expansions. Formulas simplify, and analytic expressions for the two- and three-point functions of curvature fluctuations are obtained. I will then discuss the behavior of loop corrections to inflationary observables in this framework.

Presentation materials