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arXiv · hep-ph/9906276

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

B. I. Ermolaev·M. Greco·S. I. Troyan
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Abstract

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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B. I. Ermolaev, M. Greco, S. I. Troyan. 1999-11-19. QCD running coupling effects for the non-singlet structure function at small x. https://doi.org/10.1016/s0550-3213(99)00812-3

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