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Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry

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arxiv 2504.18537 v1 pith:QCJKLJOC submitted 2025-04-25 hep-ph hep-th

Benoît Assi , Andreas Helset , Julie Pagès , Chia-Hsien Shen This is my paper · ORCID
classification hep-phhep-th
keywords effectivefieldfield-spaceformulageometricoperatorstwo-fermionallows
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

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

  1. geoSCET: Soft Theorems from Power Counting

    hep-th 2026-07 accept novelty 8.0 of 10

    geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.

  2. The Potential of HEFT and the scale of New Physics

    hep-ph 2025-12 conditional novelty 6.0 of 10

    From a geometric recursion, the authors compute leading high-energy amplitudes with arbitrary multiplicities, resum them into unitarity bounds and cut-offs, and show that a dilaton HEFT reaches the SM as Δ→2 without p...

  3. Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT

    hep-ph 2025-10 conditional novelty 6.0 of 10

    For the first time, the two-loop Yukawa-induced renormalisation-group running of the Higgs-gluon coupling from D^2H^4 and D H^2 ψ^2 SMEFT operators is computed.

  4. Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Two-loop SMEFT corrections from third-generation four-quark operators to gg to h and h to gamma gamma are computed with full mass dependence, including new two-loop anomalous dimensions.

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