Resummation of (beta0 alpha-s)**n corrections in QCD: Techniques and applications to the tau hadronic width and the heavy quark pole mass

Feb, 1995
64 pages
Published in:
  • Nucl.Phys.B 452 (1995) 563-625
e-Print:
Report number:
  • CERN-TH-95-26,
  • CERN-TH-95-026,
  • UM-TH-95-3

Citations per year

199520022009201620230102030
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 τ\tau decay width and the pole mass of a heavy quark. We find that these corrections tend to reduce αs(mτ)\alpha_s(m_\tau) determined from τ\tau 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