NON-SINGLET STRUCTURE FUNCTIONS AT SMALL X

B.I.Ermolaev; M.G.Ryskin; S.I.Manayenkov

NON-SINGLET STRUCTURE FUNCTIONS AT SMALL X

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arxiv hep-ph/9502262 v1 pith:LIADQWNE submitted 1995-02-09 hep-ph

B.I.Ermolaev , S.I.Manayenkov , M.G.Ryskin This is my paper · ORCID

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keywords non-singletapproximationsmallstructurealtarelli-parisibehaviourcalculatedconventional

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abstract

The small x behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neither $k_T$ nor $\theta$ ordering in the ladder Feynman graphs, the predicted non-singlet quark densities for the HERA kinematical range ($x\sim 10^{-3}$) exceed the values calculated from the small-$x$ approximation of the conventional Altarelli-Parisi evolution by a factor up to ten.

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Anomalous dimensions at small spins
hep-th 2025-06 accept novelty 6.0 of 10

The quadratic mass-correction combination of twist-two anomalous dimensions stays finite at small spin in the O(N) phi^4, phi^3, and Gross-Neveu-Yukawa models at the computed loop orders, enabling explicit resummations.

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