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arXiv · hep-ph/9806231

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

Benedikt Lehmann-Dronke·Andreas Schäfer
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Abstract

We calculate the leading $1/N_f$ perturbative contributions to the polarized nonsinglet structure functions $g_3$ and $g_5$ to all orders in $α_s$. 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 $Δg_3$ and $Δg_5$ 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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Benedikt Lehmann-Dronke, Andreas Schäfer. 1998-06-02. IR-Renormalon Contributions to the Structure Functions $g_3$ and $g_5$. https://doi.org/10.1007/s100500050208

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