Evolution of structure functions in momentum space
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 pro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12365-2 |
| _version_ | 1797233328711008256 |
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| author | Tuomas Lappi Heikki Mäntysaari Hannu Paukkunen Mirja Tevio |
| author_facet | Tuomas Lappi Heikki Mäntysaari Hannu Paukkunen Mirja Tevio |
| author_sort | Tuomas Lappi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T15:26:46Z |
| format | Article |
| id | doaj.art-6f7e4600be6a436b90eb013d7df7301f |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:26Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6f7e4600be6a436b90eb013d7df7301f2024-03-31T11:33:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-01-0184111210.1140/epjc/s10052-023-12365-2Evolution of structure functions in momentum spaceTuomas Lappi0Heikki Mäntysaari1Hannu Paukkunen2Mirja Tevio3University of Jyvaskyla, Department of PhysicsUniversity of Jyvaskyla, Department of PhysicsUniversity of Jyvaskyla, Department of PhysicsUniversity of Jyvaskyla, Department of PhysicsAbstract 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.https://doi.org/10.1140/epjc/s10052-023-12365-2 |
| spellingShingle | Tuomas Lappi Heikki Mäntysaari Hannu Paukkunen Mirja Tevio Evolution of structure functions in momentum space European Physical Journal C: Particles and Fields |
| title | Evolution of structure functions in momentum space |
| title_full | Evolution of structure functions in momentum space |
| title_fullStr | Evolution of structure functions in momentum space |
| title_full_unstemmed | Evolution of structure functions in momentum space |
| title_short | Evolution of structure functions in momentum space |
| title_sort | evolution of structure functions in momentum space |
| url | https://doi.org/10.1140/epjc/s10052-023-12365-2 |
| work_keys_str_mv | AT tuomaslappi evolutionofstructurefunctionsinmomentumspace AT heikkimantysaari evolutionofstructurefunctionsinmomentumspace AT hannupaukkunen evolutionofstructurefunctionsinmomentumspace AT mirjatevio evolutionofstructurefunctionsinmomentumspace |