On factorisation schemes for the electron parton distribution functions in QED
Abstract The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the MS ¯ $$ \overline{\mathrm{MS}} $$ factorisation scheme. We present here analogous results, obta...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-07-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)180 |
| _version_ | 1818622482664390656 |
|---|---|
| author | S. Frixione |
| author_facet | S. Frixione |
| author_sort | S. Frixione |
| collection | DOAJ |
| description | Abstract The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the MS ¯ $$ \overline{\mathrm{MS}} $$ factorisation scheme. We present here analogous results, obtained by working in a different framework that is inspired by the so-called DIS scheme. We derive analytical solutions relevant to the large-z region, where we show that the behaviour of the PDFs depends in a dramatic way on whether running-α effects are included to all orders, as opposed to being truncated to some fixed order. By means of suitable initial and evolution conditions, next-to-leading logarithmic accurate PDFs are obtained whose large-z functional forms are identical to those of their leading logarithmic counterparts. |
| first_indexed | 2024-12-16T18:25:52Z |
| format | Article |
| id | doaj.art-48655537b9d04ce9abdfd4e9c012f54b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T18:25:52Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-48655537b9d04ce9abdfd4e9c012f54b2022-12-21T22:21:24ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713310.1007/JHEP07(2021)180On factorisation schemes for the electron parton distribution functions in QEDS. Frixione0INFN, Sezione di GenovaAbstract The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the MS ¯ $$ \overline{\mathrm{MS}} $$ factorisation scheme. We present here analogous results, obtained by working in a different framework that is inspired by the so-called DIS scheme. We derive analytical solutions relevant to the large-z region, where we show that the behaviour of the PDFs depends in a dramatic way on whether running-α effects are included to all orders, as opposed to being truncated to some fixed order. By means of suitable initial and evolution conditions, next-to-leading logarithmic accurate PDFs are obtained whose large-z functional forms are identical to those of their leading logarithmic counterparts.https://doi.org/10.1007/JHEP07(2021)180Precision QEDRenormalization Group |
| spellingShingle | S. Frixione On factorisation schemes for the electron parton distribution functions in QED Journal of High Energy Physics Precision QED Renormalization Group |
| title | On factorisation schemes for the electron parton distribution functions in QED |
| title_full | On factorisation schemes for the electron parton distribution functions in QED |
| title_fullStr | On factorisation schemes for the electron parton distribution functions in QED |
| title_full_unstemmed | On factorisation schemes for the electron parton distribution functions in QED |
| title_short | On factorisation schemes for the electron parton distribution functions in QED |
| title_sort | on factorisation schemes for the electron parton distribution functions in qed |
| topic | Precision QED Renormalization Group |
| url | https://doi.org/10.1007/JHEP07(2021)180 |
| work_keys_str_mv | AT sfrixione onfactorisationschemesfortheelectronpartondistributionfunctionsinqed |