IR-renormalon contributions to the structure functions g3 and g5
Benedikt Lehmann-Dronke - Andreas Schäfer
Institut für Theoretische Physik, Universität Regensburg, Universitätsstr. 31, D-93040 Regensburg, Germany
Received: 10 June 1998 / Revised version: 25 September 1998 Communicated by F. Lenz
We calculate the leading 1/Nf perturbative contributions to the polarized nonsinglet structure functions g3 and g5 to all orders in . The contributions from the first renormalon pole are determined. It is a measure for the ambiguity of the perturbative calculation and is hypothetically assumed to dominate the power corrections. The corrections and are given as functions of the Bjorken variable x and turn out to be negligible. The anomalous dimensions of the leading twist operators are obtained in the next-to-leading order.
13.60.-r Photon and charged-lepton interactions with hadrons - 12.15.-y Electroweak interactions