Infrared Renormalization-Group Flow for Heavy-Quark Masses

Journal Article · Fri Oct 10 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.151602· OSTI ID:21179790

Hoang, Andre H ^[1]; Jain, Ambar; Stewart, Iain W ^[2]; Scimemi, Ignazio ^[3]

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1. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut) Foehringer Ring 6, 80805 Muenchen (Germany)
2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
3. Departamento de Fisica Teorica II, Universidad Complutense de Madrid, 28040 Madrid (Spain)

A short-distance heavy-quark mass depends on two parameters: the renormalization scale {mu} and a scale R controlling the absorption of infrared fluctuations. The radius for perturbative corrections that build up the mass beyond its pointlike definition in the pole scheme is {approx}1/R. Treating R as a variable gives a renormalization-group equation. R evolution improves the stability of conversion between short-distance mass schemes, allowing us to avoid large logs and the renormalon. R evolution can also be used to study IR renormalons without using bubble chains, yielding a convergent sum rule for the coefficient of the O({lambda}{sub QCD}) renormalon ambiguity of the pole mass.

• OSTI ID: 21179790
• Journal Information: Physical Review Letters, Vol. 101, Issue 15; Other Information: DOI: 10.1103/PhysRevLett.101.151602; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
EVOLUTION
MASS
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SUM RULES
T QUARKS