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Top-Yukawa effects on the β-function of the strong coupling in the SM at four-loop level
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Top-Yukawa effects on the β-function of the strong coupling in the SM at four-loop level
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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.
Forward citations
Cited by 2 Pith papers
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General Four-Loop Beta Function for Scalar-Fermion Theories in Three Dimensions
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.
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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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