Extrapolating Structure Functions to Very Small x

2001/04/24 by Guido Altarelli, Richard D. Ball, Altarelli, Guido +3
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/0104246

14 pages, 4 figures,;latex with bibtex, mcite.sty and thera.bst; contribution to "The THERA book"

arxiv created 2001/04/24 · openalex publication_date 2001/04/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review small x contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of naive small x evolution kernels and understand the empirical sucess of fixed--order perturbation theory. We give predictions for the gluon distribution and the structure functions F₂(x,Q²) and F_L(x,Q²) in an extended kinematic region, such as would be relevant for THERA or LEP+LHC ep colliders.

Citations

• The Unpolarized Gluon Anomalous Dimension at Small x

Related

• Resummed Predictions for the Structure Function F2 at Small x
• QCD Evolution of Structure Functions at Small x
• Small x behavior of parton distributions. Analytical and "frozen" coupling constants. BFKL corrections
• Small x behaviour of parton distributions
• Small-x evolution with Q dependence and unitarity