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On the four-loop strong coupling beta-function in the SM

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arxiv 1609.02597 v1 pith:UKE2IND3 submitted 2016-09-08 hep-ph

classification hep-ph
keywords beta-functionfour-loopcouplinggammastrongadvocatedambiguityanticommuting
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the talk the leading four-loop contribution to the beta-function of the strong coupling in the SM is discussed. Some details of calculation techniques are provided. Special attention is paid to the ambiguity due to utilized $\gamma_5$ treatment and a particular prescription with anticommuting $\gamma_5$ is advocated. As a by-product of our computation the four-loop beta-function in QCD with "gluino" is also obtained.

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Cited by 2 Pith papers

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    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.

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