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Loop counting matters in SMEFT

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arxiv 2204.11808 v2 pith:L46UISXV submitted 2022-04-25 hep-ph

G. Buchalla , G. Heinrich , Ch. Müller-Salditt , F. Pandler This is my paper
classification hep-ph
keywords countingsmeftcanonicaldimensionsloopleadordersaddition
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that, in addition to the counting of canonical dimensions, a counting of loop orders is necessary to fully specify the power counting of Standard Model Effective Field Theory (SMEFT). Using concrete examples, we demonstrate that considering the canonical dimensions of operators alone may lead to inconsistent results. The counting of both, canonical dimensions and loop orders, establishes a clear hierarchy of the terms in SMEFT. In practice, this serves to identify, and focus on, the potentially dominating effects in any given high-energy process in a meaningful way. Additionally, this will lead to a consistent limitation of free parameters in SMEFT applications.

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Cited by 6 Pith papers

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

  1. Impact of dimension-8 SMEFT operators on baryogenesis via sphaleron decoupling

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Five of seven CP-violating dimension-8 SMEFT operators can individually reproduce the observed baryon asymmetry, with effective new-physics scales near 3-7 TeV.

  2. Precise predictions for double Higgs production in association with a vector boson in Effective Field Theory

    hep-ph 2026-07 conditional novelty 6.0 of 10

    First NNLO QCD cross sections for pp→Vhh in SMEFT and HEFT, provided as interpolated coefficients; W±hh K-factors are almost EFT-independent while Zhh is sensitive to gluon-initiated contributions.

  3. Exploring Higgs EFT in $t\bar{t}hh$ at High Luminosity LHC

    hep-ph 2026-02 conditional novelty 6.0 of 10

    At the HL-LHC, t-tbar + Higgs pair production could constrain four non-standard Higgs couplings, giving first projected limits for the double top-Higgs and gluon-Higgs couplings.

  4. 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.

  5. Anomalous Couplings from the Electroweak Chiral Lagrangian for Off-Shell Higgs in $gg\to Z_L Z_L$

    hep-ph 2025-07 accept novelty 6.0 of 10

    In the electroweak chiral Lagrangian, off-shell Higgs contributions to gg to Z_L Z_L at leading order reduce to two independent combinations of the anomalous couplings c_t, c_V, and c_ggh.

  6. Constraining four-heavy-quark operators with top-quark, Higgs, and electroweak precision data

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined fit of LHC and LEP data constrains the five four-heavy-quark Wilson coefficients, and shows that gamma5-scheme choices can shift the resulting bounds.

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