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.
NON-SINGLET STRUCTURE FUNCTIONS AT SMALL X
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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
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.