The 4-loop quark mass anomalous dimension and the invariant quark mass
High Energy Physics - Phenomenology
2009-10-30 v1
Abstract
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.
Cite
@article{arxiv.hep-ph/9703284,
title = {The 4-loop quark mass anomalous dimension and the invariant quark mass},
author = {J. A. M. Vermaseren and S. A. Larin and T. van Ritbergen},
journal= {arXiv preprint arXiv:hep-ph/9703284},
year = {2009}
}
Comments
11 pages, Latex