Four-Loop Decoupling Relations for the Strong Coupling

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages

Scientific paper

10.1088/1126-6708/2006/01/051

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.

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