New relations between DIS sum rules
Abstract
Description
New relations between Bjorken polarized, Gross-Llewellyn Smith and Bjorken unpolarized sum rules are proposed. They are based on the ``universality'' of the perturbative and non-perturbative $\rm{1/Q^2}$ contributions to these sum rules. The letter facts can be deduced from the corresponding renormalon calculations. The similarity of $\rm{1/Q^2}$ corrections are checked by inspecting the numerical results obtained within several approaches.The discussed relations are in agreement with existing experimental data.Some possible new phenomenological applications are mentioned including estimates of not yet measured Bjorken unpolarized sum rule.
4 pages, presented at the XXXIII International Conference on High Energy Physics (ICHEP-06), Moscow, Russia, 26 July-2 August 2006, misprint in defining $a_s$ corrected, hep-ph reference added
4 pages, presented at the XXXIII International Conference on High Energy Physics (ICHEP-06), Moscow, Russia, 26 July-2 August 2006, misprint in defining $a_s$ corrected, hep-ph reference added