Quarkonia and the Pole Mass
arXiv:hep-ph/9804227 · doi:10.1103/PhysRevD.59.114014
Abstract
The pole mass of a heavy quark is ambiguous by an amount of order . We show that the heavy-quark potential, , is similarly ambiguous, but that the total static energy, , is unambiguous when expressed in terms of a short-distance mass. This implies that the extraction of a short-distance mass from the quarkonium spectrum is free of an ambiguity of order , in contrast with the pole mass.
6 pages, LateX. Minor revisions for publication
References in corpus (11)
- A quark mass definition adequate for threshold problems
- The static quark-antiquark potential in QCD to three loops
- The static potential in QCD - a full Two-Loop Calculation
- Calculation of Quarkonium Spectrum and to Order
- The Perturbative Pole Mass in QCD
- Next-to-next-to-leading order vacuum polarization function of heavy quark near threshold and sum rules for system
- Coulomb resummation for system near threshold and precision determination of $\al_s$ and .
- Bottom Quark Mass from Upsilon Mesons
- Bottom quark mass and alpha_s from the Upsilon system
- The Charm Quarks's Mass
- Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory
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