Deepinelastic scattering beyond the leading order in asymptotically free gauge theories
Abstract
We calculate the full orderg^{2} corrections to the coefficient functions which determine the Q^{2} dependence of the moments of deepinelastic structure functions. The calculation is performed in the minimalsubtraction scheme of 't Hooft. The results are combined with the recent twoloop calculations of anomalous dimensions by Floratos, Ross, and Sachrajda to give the full g¯^{2} corrections to the leading order of asymptotic freedom. We present results for C_{n}(1,g¯^{2}) relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full g¯^{2} corrections to the nonsinglet structure function are discussed. The corrections to the GrossLlewellyn Smith and Bjorken sum rules are estimated to be of the order of 15%.
 Publication:

Physical Review D
 Pub Date:
 December 1978
 DOI:
 10.1103/PhysRevD.18.3998
 Bibcode:
 1978PhRvD..18.3998B