Truncated Moments of Nonsinglet Parton Distributions in the double logarithmic $ln^2x$ approximation

Details Truncated Moments of Nonsinglet Parton Distributions in the double logarithmic $ln^2x$ approximation Truncated Moments of Nonsinglet Parton Distributions in the double logarithmic $ln^2x$ approximation

2004-03-05

arxiv.org/abs/hep-ph/0403061v1

Acta Phys.Polon. B35 (2004) 705-721

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 3 figures

Scientific paper

The method of truncated Mellin moments in a solving QCD evolution equations of the nonsinglet structure functions $F_2^{NS}(x,Q^2)$ and $g_1^{NS}(x,Q^2)$ is presented. All calculations are performed within double logarithmic $ln^2x$ approximation. An equation for truncated moments which incorporates $ln^2x$ effects is formulated and solved for the unintegrated structure function $f^{NS}(x,Q^2)$. The contribution to the Bjorken sum rule coming from the region of very small $x$ is quantified. Further possible improvement of this approach is also discussed.

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