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General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order

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arxiv 2110.05496 v1 pith:HCZJ53CG submitted 2021-10-11 hep-ph hep-th

Joshua Davies , Florian Herren , Anders Eller Thomsen This is my paper · ORCID
classification hep-phhep-th
keywords betafunctionsgeneralloopcoefficientstheoriesadditionalcompare
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa $ \beta $-functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the $ \beta $-functions, we compare the general form to the specific $ \beta $-functions of known theories to constrain the unknown coefficients. The Weyl consistency conditions provide additional constraints, completing the determination.

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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. Gradient RG Flow in Scalar-Fermion QFTs

    hep-th 2025-11 conditional novelty 7.0 of 10

    RG flow in scalar-fermion theories is gradient through four loops only when the 'beta shift' is included, via over a thousand scheme-independent constraints that hold wherever current data allow a check.

  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. Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Four-loop Standard Model gauge beta functions are confirmed by a direct Feynman-diagram calculation, and four-loop gauge-field anomalous dimensions are computed for the first time.

  4. Gradient Flows and the Curvature of Theory Space

    hep-th 2025-02 conditional novelty 6.0 of 10

    The space of multiscalar field theories carries a curved metric determined by gradient flow, and the gradient-flow potential and metric can be matched to F-tilde and the Zamolodchikov metric at fixed points.

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