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In this letter we present our results for the four-loop beta-function of the strong coupling in the Standard Model of fundamental interactions. The expression is obtained from gluon self-energy diagrams in the background field gauge without application of special infra-red rearrangement tricks. We take top-Yukawa and self-Higgs interactions into account, but neglect electroweak gauge couplings. Ambiguities due to γ 5 treatment are discussed and a particular “reading” prescription for odd Dirac traces is advocated.
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Bednyakov et al. (2016) studied this question.
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