====== TTP05-21 Four-Loop Decoupling Relations for the Strong Coupling ====== 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 $\beta$ 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. |**Y. Schroder and M. Steinhauser** | |** JHEP 0601 051 2006 ** | | {{preprints:2005:ttp05-21.pdf|PDF}} {{preprints:2005:ttp05-21.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0512058|arXiv]] | | |