# Positive sum rules in gravitational EFTs

- Institution: CERN
- Department: Conferences & Workshops
- Speaker: Simon Caron-Huot
- Year: 2021
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3009765)
- 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 explore constraints on low-energy dynamics which stem from assuming causality of 2->2 scattering at all energy scales. I will review a key ingredient added recently: low-energy crossing symmetry, which bounds the couplings of spinning heavy states and ensures that sum rules are dominated by (unknown) states of low spin. Gravity is special since its tree-level energy growth already requires a UV completion. This implies roughly that gravity is attractive at all scales. I describe model-independent constraints which exploit low-energy crossing to account for the graviton pole..

0:00:00 Slide 1

0:05:07 Slide 2

0:10:13 Slide 3

0:15:19 Slide 4

0:20:25 Slide 5

0:25:31 Slide 6

0:30:37 Slide 7

0:35:43 Slide 8

0:40:49 Slide 9

0:45:55 Slide 10

## Lectures

1. [Positive sum rules in gravitational EFTs](https://invisiblenetwork.ai/learn/cern/3009765/dd2789c3e995), 51 min (CERN's player)