Next-to-leading order evolution of structure functions without PDFs
Abstract We formulate and numerically solve the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations at next-to-leading order in perturbation theory directly for a basis of 6 physical, observable structure functions in deeply inelastic scattering. By expressing the evolution in the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14134-9 |
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| _version_ | 1850145017877757952 |
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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 and numerically solve the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations at next-to-leading order in perturbation theory directly for a basis of 6 physical, observable structure functions in deeply inelastic scattering. By expressing the evolution in the physical basis one evades the factorization scale and scheme dependence. Working in terms of observable quantities, rather than parametrizing and fitting unobservable parton distribution functions (PDFs), provides an unambiguous way to confront predictions of perturbative Quantum Chromodynamics with experimental measurements. We compare numerical results for the DGLAP evolution for structure functions in the physical basis to the conventional evolution with PDFs. |
| format | Article |
| id | doaj-art-1c664e8b9d904842b47b2ebf8f019fa3 |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1c664e8b9d904842b47b2ebf8f019fa32025-08-20T02:28:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185412210.1140/epjc/s10052-025-14134-9Next-to-leading order evolution of structure functions without PDFsTuomas Lappi0Heikki Mäntysaari1Hannu Paukkunen2Mirja Tevio3Department of Physics, University of JyväskyläDepartment of Physics, University of JyväskyläDepartment of Physics, University of JyväskyläDepartment of Physics, University of JyväskyläAbstract We formulate and numerically solve the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations at next-to-leading order in perturbation theory directly for a basis of 6 physical, observable structure functions in deeply inelastic scattering. By expressing the evolution in the physical basis one evades the factorization scale and scheme dependence. Working in terms of observable quantities, rather than parametrizing and fitting unobservable parton distribution functions (PDFs), provides an unambiguous way to confront predictions of perturbative Quantum Chromodynamics with experimental measurements. We compare numerical results for the DGLAP evolution for structure functions in the physical basis to the conventional evolution with PDFs.https://doi.org/10.1140/epjc/s10052-025-14134-9 |
| spellingShingle | Tuomas Lappi Heikki Mäntysaari Hannu Paukkunen Mirja Tevio Next-to-leading order evolution of structure functions without PDFs European Physical Journal C: Particles and Fields |
| title | Next-to-leading order evolution of structure functions without PDFs |
| title_full | Next-to-leading order evolution of structure functions without PDFs |
| title_fullStr | Next-to-leading order evolution of structure functions without PDFs |
| title_full_unstemmed | Next-to-leading order evolution of structure functions without PDFs |
| title_short | Next-to-leading order evolution of structure functions without PDFs |
| title_sort | next to leading order evolution of structure functions without pdfs |
| url | https://doi.org/10.1140/epjc/s10052-025-14134-9 |
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