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arXiv · 0707.2855

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

A. L. Kataev
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Abstract

It is stressed that within large N_c-expansion {\bf analytical calculations} of the $(α_s/π)^2$ 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 $O(1/N_c^2)$ {\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 $\bar{u}(x)<\bar{d}(x)$, 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 $α_s^3$-level to the generation of light quark-antiquark asymmetry, is also commented.

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A. L. Kataev. 2007-07-19. Non-planar structure of analytical QCD predictions for the Gottfried sum rule. https://arxiv.org/abs/0707.2855

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