QCD Higher Order Corrections to g₁ (x) at Small x

1997/11/07 by Yuichiro Kiyo, Kiyo, Yuichiro, Jiro Kodaira +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9711260

10 pages, 6 figures, psfig.sty and here.sty are required, To appear in: Proceedings of the Workshop on Deep Inelastic Scattering off Polarized Targets : Theory Meets Experiment, DESY Zeuthen, September 1-5, 1997

arxiv created 1997/11/07 · arxiv updated 2009/11/30

Abstract

The small x behavior of the flavor non-singlet g₁ structure function is analysed numerically by taking into account the all-order resummation of α_s ln²x 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 Q². This fact implies that the higher order logarithmic corrections are very important for g₁ in the small x region.

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