Building blocks of Cwebs in multiparton scattering amplitudes
Abstract The correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm correspond to completely connected diagrams a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2022)020 |
| _version_ | 1797865781626667008 |
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| author | Neelima Agarwal Sourav Pal Aditya Srivastav Anurag Tripathi |
| author_facet | Neelima Agarwal Sourav Pal Aditya Srivastav Anurag Tripathi |
| author_sort | Neelima Agarwal |
| collection | DOAJ |
| description | Abstract The correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm correspond to completely connected diagrams and are determined by the web mixing matrices. In this article we introduce several new concepts: (a) Normal ordering of the diagrams of a Cweb, (b) Fused-Webs (c) Basis and Family of Cwebs. We use these ideas together with a Uniqueness theorem that we prove to arrive at an understanding of the diagonal blocks, and several null matrices that appear in the mixing matrices. We demonstrate using our formalism that, once the basis Cwebs present upto order α s n $$ {\alpha}_s^n $$ are determined, the number of exponentiated colour factors for several classes of Cwebs starting at order α s n + 1 $$ {\alpha}_s^{n+1} $$ can be predicted. We further provide complete results for the mixing matrices, to all orders in perturbation theory, for two special classes of Cwebs using our framework. |
| first_indexed | 2024-04-09T23:14:48Z |
| format | Article |
| id | doaj.art-fffad6a088b247288b9675ee3ab418cc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:48Z |
| publishDate | 2022-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-fffad6a088b247288b9675ee3ab418cc2023-03-22T10:12:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-06-012022616010.1007/JHEP06(2022)020Building blocks of Cwebs in multiparton scattering amplitudesNeelima Agarwal0Sourav Pal1Aditya Srivastav2Anurag Tripathi3Department of Physics, Chaitanya Bharathi Institute of TechnologyDepartment of Physics, Indian Institute of Technology HyderabadDepartment of Physics, Indian Institute of Technology HyderabadDepartment of Physics, Indian Institute of Technology HyderabadAbstract The correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm correspond to completely connected diagrams and are determined by the web mixing matrices. In this article we introduce several new concepts: (a) Normal ordering of the diagrams of a Cweb, (b) Fused-Webs (c) Basis and Family of Cwebs. We use these ideas together with a Uniqueness theorem that we prove to arrive at an understanding of the diagonal blocks, and several null matrices that appear in the mixing matrices. We demonstrate using our formalism that, once the basis Cwebs present upto order α s n $$ {\alpha}_s^n $$ are determined, the number of exponentiated colour factors for several classes of Cwebs starting at order α s n + 1 $$ {\alpha}_s^{n+1} $$ can be predicted. We further provide complete results for the mixing matrices, to all orders in perturbation theory, for two special classes of Cwebs using our framework.https://doi.org/10.1007/JHEP06(2022)020Higher-Order Perturbative CalculationsResummation |
| spellingShingle | Neelima Agarwal Sourav Pal Aditya Srivastav Anurag Tripathi Building blocks of Cwebs in multiparton scattering amplitudes Journal of High Energy Physics Higher-Order Perturbative Calculations Resummation |
| title | Building blocks of Cwebs in multiparton scattering amplitudes |
| title_full | Building blocks of Cwebs in multiparton scattering amplitudes |
| title_fullStr | Building blocks of Cwebs in multiparton scattering amplitudes |
| title_full_unstemmed | Building blocks of Cwebs in multiparton scattering amplitudes |
| title_short | Building blocks of Cwebs in multiparton scattering amplitudes |
| title_sort | building blocks of cwebs in multiparton scattering amplitudes |
| topic | Higher-Order Perturbative Calculations Resummation |
| url | https://doi.org/10.1007/JHEP06(2022)020 |
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