2008/07/31 by T. C. Rogers, Ted C. Rogers · 1 citation
Mathematics · Physics and Astronomy · #Deep inelastic scattering #Dirac delta function #Distribution function #Factorization #Gluon #High-Energy Particle Collisions Research #Inelastic scattering #Mathematics #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Radiative transfer #Scattering #hep-ph
paper · pdf · doi:10.1103/physrevd.78.074018
published as Phys.Rev.D78:074018,2008 · 22 pages, Typos Fixed, Reference Added, Minor Clarification Added
arxiv created 2008/09/29 · openalex publication_date 2008/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the next-to-leading order fully unintegrated hard scattering coefficient for unpolarized gluon-induced deep inelastic scattering using the logical framework of parton correlation functions developed in previous work. In our approach, exact four-momentum conservation is maintained throughout the calculation. Hence, all nonperturbative functions, like parton distribution functions, depend on all components of parton four-momentum. In contrast to the usual collinear factorization approach where the hard scattering coefficient involves generalized functions (such as Dirac \ensuremathδ functions), the fully unintegrated hard scattering coefficient is an ordinary function. Gluon-induced deep inelastic scattering provides a simple illustration of the application of the fully unintegrated factorization formalism with a nontrivial hard scattering coefficient, applied to a phenomenologically interesting case. Furthermore, the gluon-induced process allows for a parametrization of the fully unintegrated gluon distribution function.