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arxiv: hep-ph/9703284 · v1 · submitted 1997-03-10 · ✦ hep-ph

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The 4-loop quark mass anomalous dimension and the invariant quark mass

J.A.M. Vermaseren , S.A. Larin , T. van Ritbergen
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classification ✦ hep-ph
keywords massquarkanomalousdimensioninvariantaccurateanalyticalanalyze
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We present the analytical calculation of the four-loop quark mass anomalous dimension in Quantum Chromodynamics within the minimal subtraction scheme. On the basis of this result we find that the so-called invariant quark mass is a very good reference mass for the accurate evolution of the running MS-bar quark mass in phenomenological applications. We also obtain for the first time a complete 4-th order perturbative QCD expression for a physical quantity, the total Higgs boson decay rate into hadrons, and analyze the infrared fixed point for this case.

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