Four-Loop Decoupling Relations for the Strong Coupling
Y. Schroder, M. Steinhauser
Abstract
We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the β function is available to this order) taking into account threshold effects. As a side product we obtain the effective coupling of a Higgs boson to gluons with five-loop accuracy.
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