Journal Article

PUBDB-2025-05781

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png An exceptional cluster algebra for Higgs plus jet production

Aliaj, R. ; Papathanasiou, G. (Corresponding author)DESY*

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP01(2025)197  doi:10.3204/PUBDB-2025-05781

Report No.: DESY-24-129; arXiv:2408.14544

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.

Keyword(s): Higher-Order Perturbative Calculations ; Scattering Amplitudes ; Extended Supersymmetry ; Higgs Production

Note: 26 pages, 4 figures, 1 table; v2: Minor corrections and clarifications, matches published version

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)
3. DFG project G:(GEPRIS)390783311 - EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens (390783311) (390783311)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Aliaj, R.Extern* ; Papathanasiou, G. (Corresponding author)DESY*
An Exceptional Cluster Algebra for Higgs plus Jet Production
[10.3204/PUBDB-2024-05604]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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