Estimates of the O(alpha_s^4) corrections to sigma_{tot}(e^+e^- \rightarrow hadrons), Gamma(τ\rightarrow ν_τ +hadrons) and deep inelastic scattering sum rules
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We present the estimates of the order $O(α^{4}_{s})$ QCD corrections to $R(s)$, $R_τ$ and to the deep-inelastic scattering sum rules, namely to the non-polarized and polarized Bjorken sum rules and to the Gross-Llewellyn Smith sum rule. The estimates are obtained in the $\overline{MS}$-scheme using the principle of minimal sensitivity and the effective charges approach.
CERN-TH.7190/94, to appear in Proc. of the Workshop "QCD at LEP: Determinations of $α_s$ from Inclusive Observables", Aachen, Germany 11 April, LATEX, 11 pages; extended version submitted for publication. Some misprints in the previous version corrected, thanks to F. Le Diberder for pointing them, PMS results in Tables 1-4 are affected. Changes do not affect main results
CERN-TH.7190/94, to appear in Proc. of the Workshop "QCD at LEP: Determinations of $α_s$ from Inclusive Observables", Aachen, Germany 11 April, LATEX, 11 pages; extended version submitted for publication. Some misprints in the previous version corrected, thanks to F. Le Diberder for pointing them, PMS results in Tables 1-4 are affected. Changes do not affect main results