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29 March 2024
 
  » arxiv » hep-ph/0009037

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Intercepts of the non-singlet structure functions
B.I. Ermolaev ; M. Greco ; S.I. Troyan ;
Date 4 Sep 2000
Journal Nucl.Phys. B594 (2001) 71-88
Subject hep-ph
AbstractInfrared 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.
Source arXiv, hep-ph/0009037
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