Publications
Publication Information
| Title | Analytic Solutions of the DGLAP Evolution and Theoretical Uncertainties |
| Authors | Andrea Simonelli |
| JLAB number | JLAB-THY-24-3986 |
| LANL number | (None) |
| Other number | DOE/OR/23177-7382 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for European Physical Journal C Volume 84 Page(s) 867 | |
| Publication 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1140/epjc/s10052-024-13169-8 |
| Accepted Manuscript: | s10052-024-13169-8.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |