# Slow-roll inflation at N3LO (as deviations from a purely de Sitter background)

- Institution: CERN
- Department: TH institutes
- Speaker: Pierre Auclair
- Year: 2024
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3000018)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

In the context of slow-roll inflation, deviations from a purely de Sitter background are expected and are both separate and complementary to the loop corrections in various inflationary scenarios. In this talk, I propose to go over some of the most up-to-date computations of the inflationary scalar and tensor slow-roll power spectra at next-to-next-to-next to leading order (N3LO), fully expanded around an observable pivot wavenumber, for all single field inflationary models having minimal and non-minimal kinetic terms. This result therefore encompasses string-inspired inflationary models having a varying speed of sound. The aim is to contribute to this workshop by highlighting the classical corrections alongside loop corrections in inflationary predictions..

0:00:00 Slide 1

0:07:53 Slide 2

0:09:27 Slide 3

0:10:35 Slide 4

0:12:02 Slide 5

0:13:35 Slide 6

0:15:32 Slide 7

0:17:38 Slide 8

## Lectures

1. [Slow-roll inflation at N3LO (as deviations from a purely de Sitter background)](https://invisiblenetwork.ai/learn/cern/3000018/7dd14794853c), 20 min (CERN's player)