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Four-loop strong coupling beta-function in the Standard Model

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arxiv 1508.02680 v2 pith:PP7HT2DG submitted 2015-08-11 hep-ph hep-th

classification hep-phhep-th
keywords beta-functioncouplingfour-loopinteractionsmodelstandardstrongaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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In this letter we present our results for the four-loop beta-function of the strong coupling in the Standard Model of fundamental interactions. We take top-Yukawa and self-Higgs interactions into account, but neglect electroweak gauge couplings.

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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. Bare effective potential and Goldstone boson anti-resummation

    hep-ph 2026-08 conditional novelty 7.0 of 10

    Treating Goldstone-boson squared masses as interaction vertices instead of propagator masses eliminates spurious infrared logarithms and imaginary parts, giving a consistent three-loop tadpole-free effective potential...

  2. Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme

    hep-ph 2025-07 conditional novelty 7.0 of 10

    The leading three-loop corrections to the Fermi decay constant in the pure MS scheme are computed, shifting the Standard Model Higgs VEV down by about 3.5 MeV and cutting residual scale dependence to below 2e-6.

  3. 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.

  4. 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.

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