TTP05-27 QCD Decoupling at Four Loops

TTP05-27 QCD Decoupling at Four Loops

TTP05-27 QCD Decoupling at Four Loops

We present the matching condition for the strong coupling constant alpha_s at a heavy quark threshold to four loops in the modified minimal subtraction scheme. Our results lead to further decrease of the theoretical uncertainty of the evolution of the strong coupling constant through heavy quark thresholds. Using a low energy theorem we furthermore derive the effective coupling of the Higgs boson to gluons (induced by a virtual heavy quark) in four- and (partially) through five-loop approximation.

K.G. Chetyrkin, J.H. K\“uhn and C. Sturm
Nucl.Phys. B744 121-135 2006
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