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Top-Yukawa effects on the $\beta$-function of the strong coupling in the SM at four-loop level

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arxiv 1508.03624 v4 pith:FFKAIC3W submitted 2015-08-14 hep-ph

classification hep-ph
keywords betacontributioncouplingfour-loopfunctionlevelstrongtop-yukawa
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present analytical results for the QCD $\beta$-function extended to the gaugeless limit of the unbroken phase of the Standard Model at four-loop level. Apart from the strong coupling itself we include the top-Yukawa contribution and the Higgs self-coupling. We observe a non-naive $\gamma_5$ contribution at order $y_t^4 g_s^4$, a feature not encountered in lower loop orders.

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Cited by 5 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. General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions

    hep-th 2025-12 conditional novelty 7.0 of 10

    General four-loop beta functions and anomalous dimensions for 3D scalar–fermion theories, cross-checked against N=1/N=2 supersymmetry, with a new large-N infrared fixed point.

  3. 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.

  4. 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.

  5. 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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