On the polarized DIS spin structure function g1 at small x

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.