Supergeometry for the Standard Model EFT

by Chia-Hsien Shen (National Taiwan University)

Thursday 7 Nov 2024, 16:00 → 17:00 Australia/Sydney

The Standard Model Effective Field Theory (SMEFT) has risen to a prominent role in the search of new physics. However, the rapid growth in the number of operators calls for a new organizing principle for the SMEFT. The need for new structures is particularly pressing due to mixing effects from renormalization. In this talk, I will review the geometry construction for EFT that can resum towers of operators. I will then generalize this approach to the fermionic sector of the SMEFT using supergeometry. As applications, I will show that both tree amplitudes and one-loop renormalization group equations can be compactly written as geometric building blocks. This new structure reduces complexity in the calculation of renormalization group equations. This talk is based on 2310.02490 and work in progress.