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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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CERN-TH.7190/94, to appear in Proc. of the Workshop "QCD at LEP: Determinations of $\alpha_s$ from Inclusive Observables", Aac

Scientific paper

We present the estimates of the order $O(\alpha^{4}_{s})$ QCD corrections to
$R(s)$, $R_{\tau}$ 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.

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