English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present the attempt to study the problem of the estimates of higher-orderperturbative corrections to physical quantities in the Euclidean region. Ourconsiderations are based on the application of the scheme-invariant methods,namely the principle of minimal sensitivity and the effective charges approach.We emphasize, that in order to obtain the concrete results for the physicalquantities in the Minkowskian region the results of application of thisformalism should be supplemented by the explicite calculations of the effectsof the analytical continuation. We present the estimates of the order$O(\alpha^{4}_{s})$ 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 theGross--Llewellyn Smith sum rule. The results for the $D$-function are furtherapplied to estimate the $O(\alpha_s^4)$ QCD corrections to the Minkowskianquantities $R(s) = \sigma_{tot} (e^{+}e^{-} \to {\rm hadrons}) /  \sigma (e^{+}e^{-} \to \mu^{+} \mu^{-})$ and $R_{\tau} =  \Gamma (\tau \to \nu_{\tau} + {\rm hadrons}) /  \Gamma (\tau \to \nu_{\tau} \overline{\nu}_{e} e)$. The problem of thefixation of the uncertainties due to the $O(\alpha_s^5)$ corrections to theconsidered quantities is also discussed.Comment: LATEX, 17 pages; to be published in Mod.Phys.Lett.A10,N3 (1995) 23

ESTIMATES OF THE HIGHER ORDER QCD CORRECTIONS TO R(s), Rτ AND DEEP INELASTIC SCATTERING SUM RULES

ESTIMATES OF THE HIGHER ORDER QCD CORRECTIONS TO R(s), R_τ AND DEEP INELASTIC SCATTERING SUM RULES