Resummation of (beta0 alpha-s)**n corrections in QCD: Techniques and applications to the tau hadronic width and the heavy quark pole mass
Feb, 199564 pages
Published in:
- Nucl.Phys.B 452 (1995) 563-625
e-Print:
- hep-ph/9502300 [hep-ph]
Report number:
- CERN-TH-95-26,
- CERN-TH-95-026,
- UM-TH-95-3
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Abstract:
We propose to resum exactly any number of one-loop vacuum polarization insertions into the scale of the coupling of lowest order radiative corrections. This makes maximal use of the information contained in one-loop perturbative corrections combined with the one-loop running of the effective coupling and provides a natural extension of the familiar BLM scale-fixing prescription to all orders in the perturbation theory. It is suggested that the remaining radiative corrections should be reduced after resummation. In this paper we implement this resummation by a dispersion technique and indicate a possible generalization to incorporate two-loop evolution. We investigate in some detail higher order perturbative corrections to the decay width and the pole mass of a heavy quark. We find that these corrections tend to reduce determined from decays by approximately 10\% and increase the difference between the bottom pole and \MS-renormalized mass by 30\%.Note:
- 64 pages, LATEX, 7 figures Report-no: CERN-TH/95-26, UM-TH-95-03
- quantum chromodynamics
- gluon: mass
- mass: gluon
- radiative correction: higher-order
- Borel transformation
- renormalization
- tau: nonleptonic decay
- nonleptonic decay: tau
- tau: width
- heavy quark
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