IR-Renormalon Contributions to the Structure Functions $g_3$ and $g_5$

Details IR-Renormalon Contributions to the Structure Functions $g_3$ and $g_5$ IR-Renormalon Contributions to the Structure Functions $g_3$ and $g_5$

1998-06-02

arxiv.org/abs/hep-ph/9806231v1

Eur.Phys.J. A4 (1999) 97-102

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 eps-figures

Scientific paper

10.1007/s100500050208

We calculate the leading $1/N_f$ perturbative contributions to the polarized nonsinglet structure functions $g_3$ and $g_5$ 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 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 negligable. The anomalous dimensions of the leading twist operators are obtained in the next-to-leading order.

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