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

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

1997-03-10

arxiv.org/abs/hep-ph/9703284v1

Phys.Lett. B405 (1997) 327-333

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Latex

Scientific paper

10.1016/S0370-2693(97)00660-6

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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