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Intercepts of the non-singlet structure functions

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arxiv hep-ph/0009037 v1 pith:7BXMUKXC submitted 2000-09-04 hep-ph

classification hep-ph
keywords functionsstructuresmall-alphaapproximationbehaviourdependenceintercepts
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running $\alpha_s$ effects. The intercepts of these structure functions, i.e. the exponents of the power-like small-$x$ behaviour, are calculated. A detailed comparison with the leading logarithmic approximation (LLA) and DGLAP is made. We explain why the LLA predictions for the small-$x$ dependence of the structure functions may be more reliable than the prediction for the $Q^2$ dependence in the range of $Q^2$ explored at HERA.

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Cited by 1 Pith paper

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  1. Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$

    hep-ph 2025-07 conditional novelty 7.0 of 10

    An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.

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