Abstract
We present analytical results for the QCD β-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 numerically small non-naive γ 5 contribution at order y 4 t g 4 s , a feature not encountered in lower loop orders. We discuss the treatment of γ5 which is more involved than in previous calculations at three-loop level.
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Zoller, M. Top-Yukawa effects on the β-function of the strong coupling in the SM at four-loop level. J. High Energ. Phys. 2016, 95 (2016). https://doi.org/10.1007/JHEP02(2016)095
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DOI: https://doi.org/10.1007/JHEP02(2016)095