EFT Coffee: Johan Henriksson, "EFT meets CFT"

Friday 18 Jul 2025, 13:15 → 14:30 Europe/Zurich

4/2-037 - TH meeting room (CERN)

Meeting for informal discussion of EFT-related topics. 
List of potential papers to be discussed

13:15 Coffee

1 EFT meets CFT

We consider five-loop renormalisation of higher-dimensional operators in general $\phi^4$ theories, providing a new synergy between EFT and conformal field theory (CFT). The anomalous dimensions computed in dimensional regularisation ($d=4-\epsilon$) are not only suited for EFT running, but become scheme-invariant and directly observable quantities at the conformal (Wilson-Fisher) fixed point. At $\epsilon=1$, this gives data for an important class of 3d CFTs, which includes the famous Ising CFT. To characterise the spectrum of a CFT, we need to go beyond singlet scalar operators, considering cases with general flavour symmetry and in various Lorentz representations. I will explain the need for high-loop estimates for these operators within the modern study of CFT, especially the bootstrap programme.

Based on work with Franz Herzog, Stefanos Kousvos, and Jasper Roosmale Nepveu: https://arxiv.org/abs/2507.12518

Speaker: Johan Henriksson (CERN)