Apr 23 – 24, 2024
CERN
Europe/Zurich timezone

Two-loop RGEs from geometry

Apr 23, 2024, 4:00 PM
30m
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

110
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Speaker

Luca Naterop (University of Zürich and PSI)

Description

RGE calculations in EFTs can carried out efficiently in a geometric picture, where field redefinitions are just coordinate changes. Building on an old method introduced by ’t Hooft in 1973, we extend the geometric formulation for scalar theories to the two-loop order and derive the counterterms which renormalize the theory at two loops. As applications of our results, we derive the two-loop counterterms and RGE for the O(n) EFT to dimension six, the scalar sector of the SMEFT to dimension six, and chiral perturbation theory to order $p^6$.

Presentation materials