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On $\gamma_5$ schemes and the interplay of SMEFT operators in the Higgs-gluon coupling

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arxiv 2310.18221 v3 pith:GA2Y4OMV submitted 2023-10-27 hep-ph

classification hep-ph
keywords operatorsfour-topgammaschemesdifferentinterplayloopcalculate
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the four-top quark operator contributions to Higgs production via gluon fusion in the Standard Model Effective Field Theory. The four-top operators enter for the first time via two-loop diagrams. Due to their chiral structure they contain $\gamma_5$, so special care needs to be taken when using dimensional regularisation for the loop integrals. We use two different schemes for the continuation of $\gamma_5$ to $D$ space-time dimensions in our calculations and present a mapping for the parameters in the two schemes. This generically leads to an interplay of different operators, such as four-top operators, chromomagnetic operators or Yukawa-type operators at the loop level. We validate our results by examples of matching onto UV models.

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Cited by 10 Pith papers

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

  1. One-loop matching of the LEFT to the QCD gradient flow

    hep-ph 2026-01 conditional novelty 7.0 of 10

    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  2. Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme

    hep-ph 2025-06 conditional novelty 7.0 of 10

    First 4-loop BMHV renormalization of an Abelian chiral gauge theory, with explicit finite symmetry-restoring counterterms and an application to the SM fermionic sector.

  3. Renormalization-group equations of the LEFT at two loops: dimension-five effects

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.

  4. Electroweak precision observables at NLL order in the SMEFT

    hep-ph 2026-08 accept novelty 6.0 of 10

    SMEFT electroweak precision predictions can be upgraded to NLL accuracy using two-loop renormalization-group evolution plus one-loop matching, yielding complete 210-coefficient expressions and stronger indirect new-ph...

  5. 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.

  6. One-Loop Calculations in Effective Field Theories with GoSam-3.0

    hep-ph 2025-07 accept novelty 6.0 of 10

    GoSam-3.0 extends automated one-loop amplitude generation to SMEFT and HEFT with flexible truncation orders, loop-suppression counting, and improved speed and stability.

  7. 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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    hep-ph 2025-07 conditional novelty 6.0 of 10

    First NNLO+parton-shower simulation of double Higgs production in GENEVA that includes approximate finite top-quark mass corrections (FTapprox), validated against MATRIX.

  9. 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.

  10. Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The two-loop anomalous dimensions for all dimension-six baryon-number-violating LEFT operators are derived in the 't Hooft-Veltman and naive dimensional regularization schemes.

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