Renormalizing two-fermion operators in the SMEFT via supergeometry

Assi, Benoît; Helset, Andreas; Pagès, Julie; Shen, Chia-Hsien

doi:10.1007/JHEP12(2025)082

Renormalizing two-fermion operators in the SMEFT via supergeometry

Journal Article · Thu Dec 11 00:00:00 EST 2025 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2025)082· OSTI ID:2564426

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Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Univ. of Cincinnati, OH (United States)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Univ. of California, San Diego, CA (United States)
National Taiwan Univ., Taipei (Taiwan); Leung Center for Cosmology and Particle Astrophysics, Taipei (Taiwan); National Center for Theoretical Sciences (NCTS), Taipei (Taiwan)

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.

View Accepted Manuscript (DOE)

Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: 89243024CSC000002; SC0009919; SC0011784

OSTI ID:: 2564426

Report Number(s):: CERN-TH--2025-084; FERMILAB-PUB--25-0280-V; oai:inspirehep.net:2915600; arXiv:2504.18537

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2025; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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