QCD Decoupling at Four Loops

Details QCD Decoupling at Four Loops QCD Decoupling at Four Loops

2005-12-05

arxiv.org/abs/hep-ph/0512060v1

Nucl.Phys.B744:121-135,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 2 figures, the complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

Scientific paper

10.1016/j.nuclphysb.2006.03.020

We present the matching condition for the strong coupling contant 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.

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