The Two-Loop Scale Dependence of the Static QCD Potential including Quark Masses [electronic resource].
- Published
- Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 1999.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Physical Description
- vp : digital, PDF file
- Additional Creators
- Stanford Linear Accelerator Center, United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information
Access Online
- Restrictions on Access
- Free-to-read Unrestricted online access
- Summary
- The interaction potential V(Q²) between static test charges can be used to define an effective charge α{sub V}(Q²) and a physically-based renormalization scheme for quantum chromodynamics and other gauge theories. In this paper we use recent results for the finite-mass fermionic corrections to the heavy-quark potential at two-loops to derive the next-to-leading order term for the Gell Mann-Low function of the V-scheme. The resulting effective number of flavors N{sub F}(Q²/m²) in the α{sub V} scheme is determined as a gauge-independent and analytic function of the ratio of the momentum transfer to the quark pole mass. The results give automatic decoupling of heavy quarks and are independent of the renormalization procedure. Commensurate scale relations then provide the next-to-leading order connection between all perturbatively calculable observables to the analytic and gauge-invariant α{sub V} scheme without any scale ambiguity and a well defined number of active flavors. The inclusion of the finite quark mass effects in the running of the coupling is compared with the standard treatment of finite quark mass effects in the {ovr MS} scheme.
- Report Numbers
- E 1.99:slac-pub-8019
slac-pub-8019 - Subject(s)
- Other Subject(s)
- Note
- Published through SciTech Connect.
06/14/1999.
"slac-pub-8019"
Brodsky, Stanley J. - Type of Report and Period Covered Note
- Topical;
- Funding Information
- AC03-76SF00515
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