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arXiv · 2504.18537

Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry

Benoît Assi·Andreas Helset·Julie Pagès·Chia-Hsien Shen
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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.

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Benoît Assi, Andreas Helset, Julie Pagès, Chia-Hsien Shen. 2025-04-25. Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry. https://arxiv.org/abs/2504.18537

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