2005/11/30 by Junegone Chay, Chul Kim · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.75.016003
published as Phys.Rev.D75:016003,2007 · 40 pages, 12 figures. Two major changes: (1) The zero-bin subtraction is included in the radiative corrections for the collinear part. (2) The parton distribution function near the endpoint region is considered including the soft part. Figures and references are added accordingly
arxiv created 2006/11/16 · openalex publication_date 2007/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, and the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in \ensuremathαs, including the zero-bin subtraction for the collinear part.