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

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

1999-06-07

arxiv.org/abs/hep-ph/9906276v2

Nucl.Phys.B571:137-150,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 20 pages, 7 figures

Scientific paper

10.1016/S0550-3213(99)00812-3

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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