1997/09/30 by A.V. Belitsky, A. V. Belitsky, D. Müller +1 · 131 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Compton scattering #Conformal field theory #Conformal map #Eigenfunction #Eigenvalues and eigenvectors #High-Energy Particle Collisions Research #Kernel (algebra) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Singlet state #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(97)01390-7
published in Physics Letters B 417(1-2), 129-140 (Elsevier BV) · 14 pages, LaTeX; reference to the paper of Mankiewicz et al. added, typos fixed
arxiv created 1997/11/06 · openalex publication_date 1998/01/01 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Basing on the constraint equalities which arise from the algebra of the collinear conformal group and the conformal operator product expansion, we predict the solutions of the leading order evolution equations for the non-forward distributions, including transversity, in terms of the conformal moments; next-to-leading order flavour singlet coefficient functions for the polarized and unpolarized deeply virtual Compton scattering; as well as the contribution from renormalon chains to the eigenfunctions of the exclusive non-singlet evolution kernel.