Nonperturbative definition of the pole mass and short distance expansion of the heavy quark potential in QCD

Abstract

We show that the O(Lambda) ambiguity in the pole mass can be fixed in a natural way by introducing a modified nonperturbative V-scheme momentum space coupling tilde-alphaV(q) where the confining contributions have been subtracted out. The method used is in the spirit of the infrared finite coupling approach to power corrections, and gives a non perturbative definition of the `potential subtracted' mass. The short distance expansion of the static potential is derived, taking into account an hypothetical short distance linear term. The magnitude of the standard OPE contributions are estimated in quenched QCD, based on results of Luscher and Weisz. It is observed that the expansion is not yet reliable at the shortest distances presently measured on the lattice.

arXiv comment10 pages, JHEP3.cls style; a few misprints corrected. To appear in Physics Letters B

References in corpus (19)

• Potential NRQCD: an effective theory for heavy quarkonium
• Renormalons
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• The static potential in QCD to two loops
• Calculation of Power Corrections to Hadronic Event Shapes
• Quark confinement and the bosonic string
• A quark mass definition adequate for threshold problems
• The static quark-antiquark potential in QCD to three loops
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• Quarkonia and the Pole Mass
• The static potential: lattice versus perturbation theory in a renormalon-based approach
• Testing perturbation theory on the nf=0 static quark potential
• More on ambiguities in the pole mass
• Renormalons and confinement
• Power corrections and resummation of radiative corrections in the single dressed gluon approximation - the average thrust as a case study
• Confinement and short distance physics
• On power corrections in the dispersive approach

Cited by in corpus (1)

• Synthetic Running Coupling of QCD