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arXiv · hep-ph/0009037

Intercepts of the non-singlet structure functions

B. I. Ermolaev·M. Greco·S. I. Troyan
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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 $α_s$, and including running $α_s$ 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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B. I. Ermolaev, M. Greco, S. I. Troyan. 2000-09-04. Intercepts of the non-singlet structure functions. https://doi.org/10.1016/s0550-3213(00)00647-7

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