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Overview of the spin structure function g1 at arbitrary x and Q2

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Summary

In the present paper we summarize our results on the structure function g1 and present explicit expressions for the non-singlet and singlet components of g1 which can be used at arbitrary x and Q2. These expressions combine the well-known DGLAP results for the anomalous dimensions and coefficient functions with the total resummation of the leading logarithmic contributions and the shift of Q2 → Q2 + μ2,with μ/Λqcd ≈ 10 (≈ 55) for the non-singlet (singlet) components of gi respectively. In contrast to DGLAP, these expressions do not require the introduction of singular parameterizations for the initial parton densities. We also apply our results to describe the experimental data in the kinematic regions beyond the reach of DGLAP.

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Authors and Affiliations

  1. Ioffe Physico-Technical Institute, 194021, St. Petersburg, Russia

    B. I. Ermolaev

  2. Dipartmento di Fisica and INFN, Università di Roma Tre, Rome, Italy

    M. Greco

  3. St. Petersburg Institute of Nuclear Physics, 188300, Gatchina, Russia

    S. I. Troyan

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  1. B. I. Ermolaev
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  2. M. Greco
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  3. S. I. Troyan
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Ermolaev, B.I., Greco, M. & Troyan, S.I. Overview of the spin structure function g1 at arbitrary x and Q2. Riv. Nuovo Cim. 33, 57–122 (2010). https://doi.org/10.1393/ncr/i2010-10052-3

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