Truncated Moments of Nonsinglet Parton Distributions in the double logarithmic ln²x approximation

2004/03/05 by D. Kotlorz, A. Kotlorz
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Polon. B35 (2004) 705-721 · 17 pages, 3 figures

arxiv created 2004/03/05 · arxiv updated 2009/12/01

Abstract

The method of truncated Mellin moments in a solving QCD evolution equations of the nonsinglet structure functions F₂^NS(x,Q²) and g₁^NS(x,Q²) is presented. All calculations are performed within double logarithmic ln²x approximation. An equation for truncated moments which incorporates ln²x effects is formulated and solved for the unintegrated structure function f^NS(x,Q²). 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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