Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
arXiv:1309.5436 · doi:10.1016/j.physletb.2013.11.022
Abstract
We estimate the presently unknown constant in the 4-loop relation between the quark pole mass and the MSbar mass, by requiring stability of the perturbative prediction for E_tot(r)=2m_pole+V_QCD(r) in the intermediate-distance region. The estimate is fairly sharp due to a severe cancellation between 2m_pole and V_QCD(r). This would provide a test, based on general properties of the gauge theory, for the size of ultra-soft contributions to V_QCD(r).
8 pages, 2 figures; Estimate for the nl=0 case added in v2; version to appear in Phys.Lett