Abstract
We calculate the full order- corrections to the coefficient functions which determine the 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 corrections to the leading order of asymptotic freedom. We present results for relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full 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%.
- Received 19 June 1978
DOI:https://doi.org/10.1103/PhysRevD.18.3998
©1978 American Physical Society