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We present analytical results at four-loop level for the $\beta$-function of the coupling of a generic gauge group and any number of different quark representations.
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M. Czakon, The Four-loop QCD beta-function and anomalous dimensions , Nucl.Phys. B710
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S. V. Mikhailov, Generalization of BLM procedure and its scales in any order of pQCD: A Practical approach , JHEP 06
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M. Zoller, Three-loop beta function for the Higgs self-coupling , PoS LL2014
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A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction , Comput.Phys.Commun. 189
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A. V. Bednyakov and A. F. Pikelner, On the four-loop strong coupling beta function in the SM , presented at QUARKS-2016, Russia
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