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Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector

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arxiv 2502.14030 v1 pith:PR3CMIZA submitted 2025-02-19 hep-ph hep-th

Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic This is my paper · ORCID
classification hep-phhep-th
keywords theoryeffectivebosonicdimensiongaugeresultsanomalousaxion-like
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell unitarity-based and geometric techniques. Our analysis fully accounts for the mixing of operators with different dimensions. The results broadly apply to any Effective Field Theory with arbitrary gauge symmetry and bosonic degrees of freedom. To illustrate their utility, we perform a complete cross-check of results on the renormalization of the Standard Model Effective Field Theory (SMEFT), $O(n)$ scalar theory, and the SMEFT extended with an axion-like particle. Additionally, we present new results for axion-like particles with CP-violating interactions.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraints on the $O(n)$ model from a negative number of flavors

    hep-th 2026-08 conditional novelty 7.0 of 10

    The paper extends O(n) spectrum constraints to negative n via the O(n)-Sp(n) duality and derives closed-form two-loop anomalous dimensions for all phi^k operators from two known cases.

  2. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

    hep-ph 2025-10 conditional novelty 6.0 of 10

    Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.

  3. Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry

    hep-ph 2025-04 conditional novelty 6.0 of 10

    A covariant one-loop divergence formula for mixed boson-fermion graphs is derived and applied to dimension-eight two-fermion RGEs in the SMEFT.

  4. Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.

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