Estimates of the higher-order QCD corrections: theory and applications
Abstract
We consider the further development of the formalism of the estimates of higher-order perturbative corrections in the Euclidean region, which is based on the application of the scheme-invariant methods, namely the principle of minimal sensitivity and the effective charges approach. We present the estimates of the order O( α s4) QCD corrections to the Euclidean quantities: the e+e--annihilation D-function and the deep inelastic scattering sum rules, namely the non-polarized and polarized Bjorken sum rules and to the Gross-Llewellyn Smith sum rule. The results for the D-function are further applied to estimate the O( α s4) QCD corrections to the Minkowskian quantities R( s) = σ tot( e+e- → hadrons)/ σ( e+e- → μ+μ-) and R τ = Γ( τ → ν τ + hadrons)/Γ( τ → ν τν¯ ee ). The problem of the fixation of the uncertainties due to the O( α s5) corrections to the considered quantities is also discussed.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- March 1995
- DOI:
- 10.1016/0920-5632(95)00094-P
- arXiv:
- arXiv:hep-ph/9408395
- Bibcode:
- 1995NuPhS..39..312K
- Keywords:
-
- High Energy Physics - Phenomenology
- E-Print:
- revised version and improved version of CERN.TH-7400/94, LATEX 10 pages, six-loop estimates for R(s) in Table 2 are revised, thanks to J. Ellis for pointing numerical shortcomings (general formulae are non-affected). Details of derivations of six-loop estimates for R_tau are presented