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Gauge coupling beta functions to four-loop order in the Standard Model
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abstract
We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of $\gamma_5$ in $D=4-2\epsilon$ space-time dimensions is required; however, in our calculation we determine the $\gamma_5$-dependent terms by exploiting relations with beta function coefficients at lower loop orders.
Forward citations
Cited by 3 Pith papers
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Bare effective potential and Goldstone boson anti-resummation
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Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme
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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Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
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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