Estimate of 4-loop pole- MS ˉ mass relation from static QCD potential

摘要

We estimate the presently unknown constant in the 4-loop relation between the quark pole mass and theMSˉmass, by requiring stability of the perturbative prediction forEtot(r)=2mpole+VQCD(r)in the intermediate-distance region. The estimate is fairly sharp due to a severe cancellation between2mpoleandVQCD(r). This would provide a test, based on general properties of the gauge theory, for the size of ultra-soft contributions toVQCD(r).