Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories

William A. Bardeen, A. J. Buras, D. W. Duke, T. Muta

Research output: Contribution to journalArticlepeer-review

1125 Scopus citations


We calculate the full order-g2 corrections to the coefficient functions which determine the Q2 dependence of the moments of deep-inelastic structure functions. The calculation is performed in the minimal-subtraction scheme of 't Hooft. The results are combined with the recent two-loop calculations of anomalous dimensions by Floratos, Ross, and Sachrajda to give the full ḡ2 corrections to the leading order of asymptotic freedom. We present results for Cn(1,ḡ2) relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full ḡ2 corrections to the nonsinglet structure function are discussed. The corrections to the Gross-Llewellyn Smith and Bjorken sum rules are estimated to be of the order of 15%.

Original languageEnglish
Pages (from-to)3998-4017
Number of pages20
JournalPhysical Review D
Issue number11
StatePublished - 1978
Externally publishedYes


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