Overview of the spin structure function g_1 at arbitrary x and Q^2

Details Overview of the spin structure function g_1 at arbitrary x and Q^2 Overview of the spin structure function g_1 at arbitrary x and Q^2

2009-05-18

arxiv.org/abs/0905.2841v2

Riv.Nuovo Cim.033:57-122,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages, 12 figures, some refs and 1 fig added, some misprints corrected

Scientific paper

10.1393/ncr/i2010-10052-3

In the present paper we summarize our results on the structure function g_1 and present explicit expressions for the non-singlet and singlet components of g_1 which can be used at arbitrary x and Q^2. 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 Q^2 -> Q^2 + \mu^2, with \mu/\Lambda_{QCD} approx 10 (approx 55) for the non-singlet (singlet) components of g_1 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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