English

Non-planar structure of analytical QCD predictions for the Gottfried sum rule

High Energy Physics - Phenomenology 2008-11-26 v1 High Energy Physics - Experiment High Energy Physics - Theory

Abstract

It is stressed that within large N_c-expansion {\bf analytical calculations} of the (αs/π)2(\alpha_s/\pi)^2 QCD contributions to the valence part of the Gottfried sum rule for F_2 structure function of charged leptons-nucleon deep-inelastic scattering reveals the existence of the O(1/Nc2)O(1/N_c^2) {\bf non-planar} corrections only and the disappearance of the {\bf planar} O(N_c^0) perturbative terms. The relation between Gottfried and Adler sum rule for neutino-nucleon DIS is established and the proposal that the differebce between corresponding QCD corrections to higher non-singlet moments in charged-lepton and neutrino DIS are {\bf suppressed by 1/N_c^2} is made. The possible consequence of the cancellation of {\bf perturbative planar} graphs in the considered perturbative series, namely the existence of light-quark flavour asymmetry uˉ(x)<dˉ(x)\bar{u}(x)<\bar{d}(x), is mentioned. The effect of the similar origin, i.e. the relation of {\bf ``light-by-light-type''-type structure} in DIS characteristics at the αs3\alpha_s^3-level to the generation of light quark-antiquark asymmetry, is also commented.

Keywords

Cite

@article{arxiv.0707.2855,
  title  = {Non-planar structure of analytical QCD predictions for the Gottfried sum rule},
  author = {A. L. Kataev},
  journal= {arXiv preprint arXiv:0707.2855},
  year   = {2008}
}

Comments

12 pages, based on the talk at the Parralel Session of XI International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT07), April 23-27, 2007, Amsterdam; submitted to the Proceedings