Homotopy approach for scattering amplitude for running QCD coupling

[2503.19771] Homotopy approach for scattering amplitude for running QCD coupling Skip to main content Search Submit Donate Log in High Energy Physics - Phenomenology arXiv:2503.19771 (hep-ph) [Submitted on 25 Mar 2025] Title: Homotopy approach for scattering amplitude for running QCD coupling Authors: Carlos Contreras (UTFSM), José Garrido (UTFSM), Eugene Levin (Tel Aviv U.) View PDF HTML (experimental) Abstract: In this paper we proposed the homotopy approach for solving the nonlinear Balitsky-Kovchegov (BK) evolution equation with running QCD coupling. The approach consists of two steps. First, is the analytic solution to the nonlinear evolution equation for the simplified, leading twist kernel. Second, is the iteration procedure that allow us to calculate corrections analytically or semi-numerically. For the leading twist kernel it is shown that the first iteration leads to $\leq 1\%$ accuracy. The $\zeta = -\frac{4N_c}{b_0}Y \ln\Lb \bas (1/Q^2_s(Y))/\bas\Lb r^2\Rb\Rb$ ($r$ is the dipole size, $Q_s$ is the saturation scale) and geometric scaling behaviour of the scattering amplitude are discussed as well as the dependence on the value of the infrared cutoff. Comments: 24pp.29 pictures in pdf files Subjects: High Energy Physics - Phenomenology (hep-ph) ; Nuclear Theory (nucl-th) Cite as: arXiv:2503.19771 [hep-ph] (or arXiv:2503.19771v1 [hep-ph] for this version) https://doi.org/10.48550/arXiv.2503.19771 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. D 111, 096025 (2025) Related DOI : https://doi.org/10.1103/PhysRevD.111.096025 Focus to learn more DOI(s) linking to related resources Submission history From: Eugene Levin [ view email ] [v1] Tue, 25 Mar 2025 15:43:16 UTC (562 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: hep-ph < prev | next > new | recent | 2025-03 Change to browse by: nucl-th References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation 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)

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