# Gravitational waves in ultra-slow-roll and their anisotropy at two loops

- Institution: CERN
- Department: TH institutes
- Speaker: Julian Leonardo Rey Idler
- Year: 2024
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3019714)
- 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)

We use the in-in formalism to compute the non-Gaussian corrections to the energy density and anisotropies of gravitational waves induced after an ultra-slow-roll phase of inflation by using a diagrammatic approach and present the corresponding Feynman rules. Our two-loop calculation includes both the intrinsic non-Gaussianity of the inflaton perturbation $\delta\phi$ and the non-Gaussianity arising from the nonlinear relation between the latter and the curvature perturbation $\mathcal{R}$. We apply our formalism to an analytical model in which the ultra-slow-roll phase is followed by a constant-roll stage with a non-vanishing second slow-roll parameter $\eta$, and address the renormalization of the one-loop scalar power spectrum in this scenario..

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## Lectures

1. [Gravitational waves in ultra-slow-roll and their anisotropy at two loops](https://invisiblenetwork.ai/learn/cern/3019714/e2435fb5bbb1), 29 min (CERN's player)