Work

Evolution of structure functions in momentum space

Year: 2024

Type: article

Abstract: 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 $$\alpha _\textrm{s}$$ α s , but the approach can be pursued to arbitrary order in perturbation theory. We also numerically check our equations against the conventional PDF formulation.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-023-12365-2

Authors: Tuomas Lappi, Heikki Mäntysaari, Hannu Paukkunen, Mirja Tevio

Institutions: University of Helsinki, Helsinki Institute of Physics, University of Jyväskylä

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Strong, European Commission, Horizon 2020 Framework Programme, Luonnontieteiden ja Tekniikan Tutkimuksen Toimikunta