An exceptional cluster algebra for Higgs plus jet production
Abstract A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G 2 cluster algebra, enlarging the C 2 cluster algebra found to cover a...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)197 |
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| author | Rigers Aliaj Georgios Papathanasiou |
| author_facet | Rigers Aliaj Georgios Papathanasiou |
| author_sort | Rigers Aliaj |
| collection | DOAJ |
| description | Abstract A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G 2 cluster algebra, enlarging the C 2 cluster algebra found to cover all previously known integrals relevant for this process. The cluster algebra connection we find reveals new adjacency relations, which significantly reduce the function space dimension of the non-planar triple ladder integral. These adjacencies may be understood in part by embedding G 2 inside higher-rank cluster algebras. |
| format | Article |
| id | doaj-art-1ac9397c7e3d49ae8de4bf3a1e205301 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-1ac9397c7e3d49ae8de4bf3a1e2053012025-02-09T12:08:00ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112710.1007/JHEP01(2025)197An exceptional cluster algebra for Higgs plus jet productionRigers Aliaj0Georgios Papathanasiou1II. Institut für Theoretische Physik, Universität HamburgDeutsches Elektronen-Synchrotron DESYAbstract A recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G 2 cluster algebra, enlarging the C 2 cluster algebra found to cover all previously known integrals relevant for this process. The cluster algebra connection we find reveals new adjacency relations, which significantly reduce the function space dimension of the non-planar triple ladder integral. These adjacencies may be understood in part by embedding G 2 inside higher-rank cluster algebras.https://doi.org/10.1007/JHEP01(2025)197Higher-Order Perturbative CalculationsScattering AmplitudesExtended SupersymmetryHiggs Production |
| spellingShingle | Rigers Aliaj Georgios Papathanasiou An exceptional cluster algebra for Higgs plus jet production Journal of High Energy Physics Higher-Order Perturbative Calculations Scattering Amplitudes Extended Supersymmetry Higgs Production |
| title | An exceptional cluster algebra for Higgs plus jet production |
| title_full | An exceptional cluster algebra for Higgs plus jet production |
| title_fullStr | An exceptional cluster algebra for Higgs plus jet production |
| title_full_unstemmed | An exceptional cluster algebra for Higgs plus jet production |
| title_short | An exceptional cluster algebra for Higgs plus jet production |
| title_sort | exceptional cluster algebra for higgs plus jet production |
| topic | Higher-Order Perturbative Calculations Scattering Amplitudes Extended Supersymmetry Higgs Production |
| url | https://doi.org/10.1007/JHEP01(2025)197 |
| work_keys_str_mv | AT rigersaliaj anexceptionalclusteralgebraforhiggsplusjetproduction AT georgiospapathanasiou anexceptionalclusteralgebraforhiggsplusjetproduction AT rigersaliaj exceptionalclusteralgebraforhiggsplusjetproduction AT georgiospapathanasiou exceptionalclusteralgebraforhiggsplusjetproduction |