# EFT meets Conformal Field Theory

- Institution: CERN
- Department: Open meetings
- Speaker: Johan Henriksson
- Year: 2025
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3021486)
- 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 EFT, the computation of anomalous dimensions of composite operators in $4-\epsilon$ dimensions is central. Precisely this computation has a completely different application, namely to the $\epsilon$-expansion of conformal field theories (CFTs), where instead of taking $\epsilon\to0$ one is interested in results for 3d theories at $\epsilon=1$. Anomalous dimensions of composite operators correspond to directly observable quantities in these 3d CFTs, and multiloop results can be compared with non-perturbative methods such as MC simulations and the conformal bootstrap. I will explain this new synergy between techniques developed for EFT and applications to CFT, focussing on the use of multiloop anomalous dimensions within the conformal bootstrap.

Based on 2507.12518 and work in progress..

0:00:00 Slide 1

0:01:29 Slide 2

0:04:29 Slide 3

0:07:47 Slide 4

0:08:57 Slide 5

0:10:18 Slide 6

0:11:34 Slide 7

0:13:57 Slide 8

0:16:07 Slide 9

0:19:04 Slide 10

0:20:47 Slide 11

0:22:29 Slide 12

0:24:41 Slide 13

## Lectures

1. [EFT meets Conformal Field Theory](https://invisiblenetwork.ai/learn/cern/3021486/8f516c099984), 30 min (CERN's player)