STI Publications - View Publication Form #20460
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Publication Information
| Title | Analytic Solutions of the DGLAP Evolution and Theoretical Uncertainties | ||||
| Abstract | The energy dependence for the singlet sector of Parton Distributions Functions (PDFs) is described by an entangled pair of ordinary linear differential equations. Although there are no closed analytic solutions, it is possible to provide approximated results depending on the assumptions and the methodology adopted. These results differ in their sub-leading, neglected terms and ultimately they are associated with different treatments of the theoretical uncertainties. In this work, a novel analytic approach in Mellin space is presented and different analytic results for the DGLAP evolution at Next-Lowest-Order are compared. Advantages and disadvantages for each solution are discussed and generalizations to higher orders are addressed. | ||||
| Author(s) | Andrea Simonelli | ||||
| Publication Date | August 2024 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP) | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
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| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | European Physical Journal C |
| Refereed | No |
| Volume | 84 |
| Issue | |
| Page(s) | 867 |
Attachments/Datasets/DOI Link
| Document(s) |
dglap_evolution_pub2.pdf
(STI Document)
s10052-024-13169-8.pdf
(Accepted Manuscript)
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| DOI Link | |
| Dataset(s) | (none) |
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