Renormalizing two-fermion operators in the SMEFT via supergeometry
Journal
Journal of High Energy Physics
Journal Volume
2025
Journal Issue
12
Start Page
82
ISSN
1029-8479
Date Issued
2025-12-11
Author(s)
Abstract
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.
Subjects
Differential and Algebraic Geometry
Effective Field Theories
Renormalization Group
SMEFT
SDGs
Publisher
Springer Science and Business Media LLC
Type
journal article