2021/08/31 by A. I. Signal, F. G. Cao, Fu‐Guang Cao
Mathematics · Physics and Astronomy · #Deep inelastic scattering #Distribution function #Factorization #Formalism (music) #High-Energy Particle Collisions Research #Inelastic scattering #Mathematics #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Scattering #Transverse plane #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.physletb.2022.136898
17 pages, 4 figures. Final version, accepted for publication in Physics Letters B
openalex publication_date 2022/01/12 · arxiv created 2022/01/31 · arxiv updated 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The typical transverse momentum of a quark in the proton is a basic property of any QCD based model of nucleon structure. However, calculations in phenomenological models typically give rather small values of transverse momenta, which are difficult to reconcile with the larger values observed in high energy experiments such as Drell-Yan reactions and Semi-inclusive deep inelastic scattering. In this letter we calculate the leading twist transverse momentum dependent distribution functions (TMDs) using a generalization of the Adelaide group's relativistic formalism that has previously given good fits to the parton distributions. This enables us to examine the kT dependence of the TMDs in detail, and determine typical widths of these distributions. These are found to be significantly larger than those of previous calculations. We then use TMD factorization in order to evolve these distributions up to experimental scales where we can compare with data on 〈kT〉 and 〈kT2〉. Our distributions agree well with this data.