Abstract
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 〈k2
T 〉. Our distributions agree well with this data.
Citation
Physics Letters B: Nuclear Physics and Particle Physics, 2022, 826
Date
2022-03-10
Rights
CC BY 4.0
Publisher
Elsevier
https://www.sciencedirect.com/
Description
(c) The author/s