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QCD running coupling effects for the non-singlet structure function at small x

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arxiv hep-ph/9906276 v2 pith:DZJGHSXZ submitted 1999-06-07 hep-ph

B.I. Ermolaev , M. Greco , S.I. Troyan This is my paper · ORCID
classification hep-ph
keywords functionnon-singletstructurecontributionscouplingdglapeffectsleading-order
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A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are obtained for the non-singlet structure function of the deep inelastic scattering, taking into account both the double-logarithmic and the single-logarithmic contributions, including the running alpha_s effects. It is shown that when these contributions are included, the asymptotic small-x behaviour is power-like, with an exponent of about 0.4.

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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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