Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915259133984768 |
|---|---|
| author | Assi, Benoît Helset, Andreas Pagès, Julie Shen, Chia-Hsien |
| author_facet | Assi, Benoît Helset, Andreas Pagès, Julie Shen, Chia-Hsien |
| contents | We extend the geometric framework of field-space covariance for loop computations, thereby unifying the treatment of scalars, fermions, and gauge bosons in effective field theories. This allows us to derive a manifestly covariant formula for one-loop UV divergences that includes contributions from mixed boson-fermion graphs. The result is expressed in terms of geometric invariants of the field-space supermanifold. As a demonstration of this formula, we compute the renormalization group equations for two-fermion operators at the dimension-eight level in the Standard Model Effective Field Theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry Assi, Benoît Helset, Andreas Pagès, Julie Shen, Chia-Hsien High Energy Physics - Phenomenology High Energy Physics - Theory We extend the geometric framework of field-space covariance for loop computations, thereby unifying the treatment of scalars, fermions, and gauge bosons in effective field theories. This allows us to derive a manifestly covariant formula for one-loop UV divergences that includes contributions from mixed boson-fermion graphs. The result is expressed in terms of geometric invariants of the field-space supermanifold. As a demonstration of this formula, we compute the renormalization group equations for two-fermion operators at the dimension-eight level in the Standard Model Effective Field Theory. |
| title | Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.18537 |