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

2003/04/30 by Taekoon Lee · 8 citations
Physics and Astronomy · #Bottom quark #Charm quark #Ground state #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #Quarkonium #Renormalon #Resummation #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/10/044

published in Journal of High Energy Physics 2003(10), 044 (Springer Nature) · 16 pages; published version

openalex publication_date 2003/10/20 · arxiv created 2003/11/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The heavy quark pole mass in perturbation theory suffers from a renormalon caused, inherent uncertainty of O(Λ_{\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 \rm MS mass for the top and bottom quarks can be determined accurately from the O(mα_s⁵) quarkonium ground state energy.

Citations

• Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
• Improved perturbative QCD approach to the bottomonium spectrum