The Small x Behavior of g₁ in the Resummed Approach

1998/03/25 by Y. Kiyo, Yuichiro Kiyo, Jiro Kodaira +4
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #advanced mathematical theories #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9803448

9 pages, ps figures included, sprocl.sty, psfig.sty, and here.sty are required. Invited talk presented at the International Symposium on ``QCD Corrections and New Physics'' October 27-29, 1997 Hiroshima, Japan

arxiv created 1998/03/25 · openalex publication_date 1998/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The double logarithmic terms α_s ln²x are important to predict precisely the small x behavior of the spin structure function g₁. We numerically analyze the evolution of the flavor non-singlet g₁ including the all-order resummed effect of these terms. It is pointed out that the next-to-leading logarithmic corrections produce an unexpectedly large suppression factor over the experimentally accessible range of x and Q². This implies that the next-to-leading logarithmic contributions are very important in order to obtain a definite prediction.

Related

• Does Leading ln x Resummation Predict the Rise of g₁ at Small x ?
• Spin structure function g₁ at small x and arbitrary Q²: Total resummaion of leading logarithms vs Standard Approach
• QCD Higher Order Corrections to g₁ (x) at Small x
• Total resummation of leading logarithms vs standard description of the Polarized DIS
• Role of the singular factors in the standard fits for initial parton densities