Estimates of the O(alpha_s⁴) corrections to sigma_tot(e⁺e^- → hadrons), Gamma(τ→ ν_τ +hadrons) and deep inelastic scattering sum rules

1994/05/15 by A. L. Kataev, Kataev, A. L., V. V. Starshenko +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9405294

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

Abstract

We present the estimates of the order O(α⁴_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 MS-scheme using the principle of minimal sensitivity and the effective charges approach.

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