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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1906.07924 |
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| _version_ | 1866914459218345984 |
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| author | Kondrashuk, Igor |
| author_facet | Kondrashuk, Igor |
| contents | We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling $α$ with splitting functions given at a fixed order in $α.$ Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_07924 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type Kondrashuk, Igor High Energy Physics - Phenomenology Mathematical Physics We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling $α$ with splitting functions given at a fixed order in $α.$ Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present. |
| title | Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type |
| topic | High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/1906.07924 |