Does Leading ln x Resummation Predict the Rise of g₁ at Small x ?

1997/01/24 by Yuichiro Kiyo, Jiro Kodaira, Hiroshi Tochimura
Physics and Astronomy · #hep-ph

paper · pdf

published as Z.Phys. C74 (1997) 631-639 · 19 pages,8 eps figures,LaTeX

arxiv created 1997/01/24 · arxiv updated 2009/11/30

Abstract

We numerically analyse the evolution of the flavor non-singlet g₁ structure function taking into account the all-order resummation of α_s ln²x terms which is expected to have much stronger effects than the DGLAP evolution in the small x region. We include a part of the next-to-leading logarithmic corrections coming from the resummed ``coefficient function'' which are not considered in the calculation of Blümlein and Vogt to respect the factorization scheme independence. It is pointed out that the resummed coefficient function gives unexpectedly large suppression factor over the experimentally accessible range of x and Q². This fact implies that the next-to-leading logarithmic contributions are very important for the g₁ structure function.

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