1999/02/28 by A. G. Shuvaev, A. Shuvaev · 57 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Asymmetry #Conformal map #Conformal symmetry #DGLAP #Function (biology) #High-Energy Particle Collisions Research #Inversion (geology) #Logarithm #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.60.116005
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 60(11) (American Physical Society) · 11 pages, LaTeX, no figures, revised version, references added
arxiv created 1999/06/03 · openalex publication_date 1999/11/05 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the conformal invariance the leading-log evolution of the off-forward structure function is reduced to the forward evolution described by the conventional Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation. The method relies on the fact that the anomalous dimensions of the Gegenbauer moments of the off-forward distribution are independent of the asymmetry, or skewedness, parameter and equal to the DGLAP ones. The integral kernels relating the forward and off-forward functions to the same Mellin and Gegenbauer moments are presented for an arbitrary asymmetry value.