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IR-renormalon contributions to the structure functions g 3 and g 5

  • Hadron physics
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The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

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 αs. 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 Δg 3 and Δg 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.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, Universitätsstr. 31, D-93040 Regensburg, Germany, , , , , , DE

    Benedikt Lehmann-Dronke & Andreas Schäfer

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  1. Benedikt Lehmann-Dronke
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  2. Andreas Schäfer
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Received: 10 June 1998 / Revised version: 25 September 1998

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Lehmann-Dronke, B., Schäfer, A. IR-renormalon contributions to the structure functions g 3 and g 5 . EPJ A 4, 97–102 (1999). https://doi.org/10.1007/s100500050208

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  • DOI: https://doi.org/10.1007/s100500050208

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