Intercepts of the non-singlet structure functions

Details Intercepts of the non-singlet structure functions Intercepts of the non-singlet structure functions

2000-09-04

arxiv.org/abs/hep-ph/0009037v1

Nucl.Phys.B594:71-88,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, LaTeX, 5 Postscript figures

Scientific paper

10.1016/S0550-3213(00)00647-7

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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