Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
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 Etot(r)=2mpole+VQCD(r) in the intermediate-distance region. The estimate is fairly sharp due to a severe cancellation between 2mpole and VQCD(r). This would provide a test, based on general properties of the gauge theory, for the size of ultra-soft contributions to VQCD(r).
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