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On the polarized DIS spin structure function g₁ at small x

B. I. Ermolaev

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

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M. Greco

Department of Mathematics and Physics and INFN, University Roma Tre, Rome, Italy

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, and

S. I. Troyan

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

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https://doi.org/10.1142/S0217751X1444014XCited by:0 (Source: Crossref)

Abstract

In the present paper we summarize our recent results on the structure function g₁ and present explicit expressions for the nonsinglet and singlet components of g₁, which can be also 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. In contrast to DGLAP, these expressions do not require the introduction of singular parametrizations for the initial parton densities. We have also applied our results to describe the experimental data in the kinematic region of the COMPASS experiment, which is beyond the reach of DGLAP. For a more detailed review of our results see Ref. 1.

Keywords:

PACS: 12.38.Cy

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