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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.22376 |
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| _version_ | 1866909634430763008 |
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| author | Danish, Abhinava Mishra, Shubham Pal, Sourav Srivastav, Aditya Tripathi, Anurag |
| author_facet | Danish, Abhinava Mishra, Shubham Pal, Sourav Srivastav, Aditya Tripathi, Anurag |
| contents | Correlators of Wilson-line, which capture eikonal contributions, are known to exponentiate in non-abelian gauge theories, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In~\cite{Agarwal:2020nyc} the concept of correlator web (Cweb), which is a set of skeleton diagrams built with connected gluon correlators and provides a generalisation of webs was introduced. The part of next-to-eikonal contributions to the scattering amplitude which exponentiates is given in terms of next-to-eikonal Cwebs~\cite{Gardi:2010rn,Laenen:2008gt}. In the present article we study next-to-eikonal Cwebs at three loop order, the order at which non trivial Cweb mixing matrices appear for the first time. The methods developed in~\cite{Agarwal:2022wyk} to construct mixing matrices directly without use of replica trick are used in this article to obtain the mixing matrices for next-to-eikonal Cwebs after we establish a relationship between next-to-eikonal and eikonal Cwebs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22376 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Colour structure of next-to-eikonal correlator webs at three loops Danish, Abhinava Mishra, Shubham Pal, Sourav Srivastav, Aditya Tripathi, Anurag High Energy Physics - Phenomenology High Energy Physics - Theory Correlators of Wilson-line, which capture eikonal contributions, are known to exponentiate in non-abelian gauge theories, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In~\cite{Agarwal:2020nyc} the concept of correlator web (Cweb), which is a set of skeleton diagrams built with connected gluon correlators and provides a generalisation of webs was introduced. The part of next-to-eikonal contributions to the scattering amplitude which exponentiates is given in terms of next-to-eikonal Cwebs~\cite{Gardi:2010rn,Laenen:2008gt}. In the present article we study next-to-eikonal Cwebs at three loop order, the order at which non trivial Cweb mixing matrices appear for the first time. The methods developed in~\cite{Agarwal:2022wyk} to construct mixing matrices directly without use of replica trick are used in this article to obtain the mixing matrices for next-to-eikonal Cwebs after we establish a relationship between next-to-eikonal and eikonal Cwebs. |
| title | Colour structure of next-to-eikonal correlator webs at three loops |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.22376 |