The generalized Crewther relation in QCD and its experimental consequences

S. J. Brodsky, G. T. Gabadadze, A. L. Kataev, H. J. Lu

    Research output: Contribution to journalArticlepeer-review


    We use the BLM scale-fixing prescription to derive a renormalization-scheme invariant relation between the coefficient function for the Bjorken sum rule for polarized deep inelastic scattering and the R-ratio for the e+e- annihilation cross section. This relation provides a generalization of the Crewther relation to non-conformally invariant gauge theories. The derived relations allow one to calculate unambiguously without renormalization scale or scheme ambiguity the effective charges of the polarized Bjorken and the Gross-Llewellen Smith sum rules from the experimental value for the effective charge associated with R-ratio. Present data are consistent with the generalized Crewther relations, but measurements at higher precision and energies will be needed to decisively test these fundamental relations in QCD.

    Original languageEnglish (US)
    Pages (from-to)133-140
    Number of pages8
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Issue number1-2
    StatePublished - Apr 4 1996

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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