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Gauge Coupling Beta Functions in the Standard Model to Three Loops

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arxiv 1201.5868 v2 pith:QETONGJX submitted 2012-01-27 hep-ph

classification hep-ph
keywords betacouplingsfunctionsgaugemodelstandardthreeaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we compute the three-loop corrections to the beta functions of the three gauge couplings in the Standard Model of particle physics using the minimal subtraction scheme and taking into account Yukawa and Higgs self 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. Inflation and Reheating by Dynamical Torsion

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The dynamical-torsion inflaton decays via chiral anomalies and Yukawa-assisted three-body channels, yielding a reheating temperature of 10^5–10^7 GeV and testable CMB/GW predictions.

  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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