https://doi.org/10.1140/epjc/s10052-023-12365-2
Regular Article - Theoretical Physics
Evolution of structure functions in momentum space
1
University of Jyvaskyla, Department of Physics, P.O. Box 35, FI-40014, University of Jyvaskyla, Finland
2
Helsinki Institute of Physics, P.O. Box 64, FI-00014, University of Helsinki, Finland
Received:
20
September
2023
Accepted:
15
December
2023
Published online:
25
January
2024
We formulate the momentum-space Dokshitzer–Gribov–Lipatov-Altarelli–Parisi (DGLAP) evolution equations for structure functions measurable in deeply inelastic scattering. We construct a six-dimensional basis of structure functions that allows for a full three flavor structure and thereby provides a way to calculate perturbative predictions for physical cross sections directly without unobservable parton distribution functions (PDFs) and without the associated scheme dependence. We derive the DGLAP equations to first non-zero order in strong coupling 
, but the approach can be pursued to arbitrary order in perturbation theory. We also numerically check our equations against the conventional PDF formulation.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-025-13830-w.
© The Author(s) 2024
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