Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type

[1906.07924] Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Phenomenology arXiv:1906.07924 (hep-ph) [Submitted on 19 Jun 2019 ( v1 ), last revised 5 Oct 2020 (this version, v2)] Title: Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type Authors: Igor Kondrashuk View a PDF of the paper titled Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type, by Igor Kondrashuk View PDF HTML (experimental) Abstract: 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 $\alpha$ with splitting functions given at a fixed order in $\alpha.$ 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. Comments: 9 pages, Talk at ACAT 2019, Saas-Fee, Switzerland, revised version Subjects: High Energy Physics - Phenomenology (hep-ph) ; Mathematical Physics (math-ph) Cite as: arXiv:1906.07924 [hep-ph] (or arXiv:1906.07924v2 [hep-ph] for this version) https://doi.org/10.48550/arXiv.1906.07924 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1134/S1547477121020084 Focus to learn more DOI(s) linking to related resources Submission history From: Igor Kondrashuk [ view email ] [v1] Wed, 19 Jun 2019 05:47:36 UTC (21 KB) [v2] Mon, 5 Oct 2020 21:31:05 UTC (23 KB) Full-text links: Access Paper: View a PDF of the paper titled Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type, by Igor Kondrashuk View PDF HTML (experimental) TeX Source view license Current browse context: hep-ph < prev | next > new | recent | 2019-06 Change to browse by: math math-ph math.MP References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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