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The resummation approach to evolution equations

1997/03/15 by Hsiang-nan Li, Li, Hsiang-nan
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9703328

25 pages in Latex

arxiv created 1997/03/15 · openalex publication_date 1997/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the evolution equations of parton distribution functions appropriate in different kinematic regions in a unified and simple way using the resummation technique. They include the Gribov-Lipatov-Altarelli-Parisi equation for large momentum transfer Q, the Balitskii-Fadin-Kuraev-Lipatov equation for a small Bjorken variable x, and the Ciafaloni-Catani-Fiorani-Marchesini equation which unifies the above two equations. We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the view point of the resummation. This modified version possesses an intrinsic Q dependence and its predictions for the structure function F2(x,Q2) are consistent with the HERA data.

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