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Four-Loop Decoupling Relations for the Strong Coupling

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arxiv hep-ph/0512058 v1 pith:N7SGVQ74 submitted 2005-12-05 hep-ph

Four-Loop Decoupling Relations for the Strong Coupling

classification hep-ph
keywords couplingfive-loopfour-looporderstrongaccountaccuracyallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\beta$ 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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