Total resummation of leading logarithms vs standard description of the Polarized DIS

2006/10/30 by B. I. Ermolaev, M. Greco, Ermolaev, B. I. +3
Computer Science · Physics and Astronomy · #Matrix Theory and Algorithms #Numerical Methods and Algorithms #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0610410

Talk given at 14th International Seminar on High Energy Physics: Quarks 2006, St. Petersburg, Russia, 19-25 May 2006. 4 pages, 1 figure

arxiv created 2006/10/30 · arxiv updated 2009/12/01

Abstract

Total resummation of leading logarithms of x contributing to the spin-dependent structure function g₁ ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, the DGLAP expressions for g₁ are complemented with special phenomenological fits for the initial parton densities. The singular factors x^-α in the fits mimic the resummation and also ensure the steep (power-like) rise of g₁ at the small-x region. Furthermore, DGLAP by definition cannot describe the region of small Q² whereas our approach can do it.

Related

• Spin structure function g₁ at small x and arbitrary Q²: Total resummaion of leading logarithms vs Standard Approach
• Role of the singular factors in the standard fits for initial parton densities
• Description of the spin structure function g₁ at arbitrary x and arbitrary Q²
• The Small x Behavior of g₁ in the Resummed Approach
• Spin-Dependent Structure Function g₁ at Small x