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 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

References in corpus (4)

• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α_s^4) contributions

Cited by in corpus (3)

• Quark mass relations to four-loop order
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination