2021 Impact factor 3.131
Hadrons and Nuclei
Eur. Phys. J. A 4, 97-102

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 $\alpha_s$. 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 $\Delta g_3$ and $\Delta g_5$ 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

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