Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach

Details Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach

2003-04-20

arxiv.org/abs/hep-ph/0304185v3

JHEP0310:044,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages; published version

Scientific paper

10.1088/1126-6708/2003/10/044

The heavy quark pole mass in perturbation theory suffers from a renormalon caused, inherent uncertainty of $O(\Lambda_{\rm QCD})$. This fundamental difficulty of determining the pole mass to an accuracy better than the inherent uncertainty can be overcome by direct resummation of the first infrared renormalon. We show how a properly defined pole mass as well as the $\bar {\rm MS}$ mass for the top and bottom quarks can be determined accurately from the $O(m\alpha_s^5)$ quarkonium ground state energy.

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