QCD Higher Order Corrections to $g_1 (x)$ at Small $x$

Details QCD Higher Order Corrections to $g_1 (x)$ at Small $x$ QCD Higher Order Corrections to $g_1 (x)$ at Small $x$

1997-11-07

arxiv.org/abs/hep-ph/9711260v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 6 figures, psfig.sty and here.sty are required, To appear in: Proceedings of the Workshop on Deep Inelastic Scatteri

Scientific paper

The small $x$ behavior of the flavor non-singlet $g_{1}$ structure function is analysed numerically by taking into account the all-order resummation of $\alpha_{s} \ln^{2}x $ terms. We include a part of the next-to-leading logarithmic corrections coming from the resummed ``coefficient function'' which are not considered in the literatures to respect the factorization scheme independence. The resummed coefficient function turns out to give unexpectedly large suppression effects over the experimentally accessible range of $x$ and $Q^{2}$. This fact implies that the higher order logarithmic corrections are very important for $g_{1}$ in the small $x$ region.

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