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000643032 245__ $$aAn exceptional cluster algebra for Higgs plus jet production
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000643032 500__ $$a26 pages, 4 figures, 1 table; v2: Minor corrections and clarifications, matches published version
000643032 520__ $$aA recent evaluation of three-loop nonplanar Feynman integrals contributing to Higgs plus jet production has established their dependence on two novel symbol letters. We show that the resulting alphabet is described by a G$_{2}$ cluster algebra, enlarging the C$_{2}$ cluster algebra found to cover all previously known integrals relevant for this process. The cluster algebra connection we find reveals new adjacency relations, which significantly reduce the function space dimension of the non-planar triple ladder integral. These adjacencies may be understood in part by embedding G$_{2}$ inside higher-rank cluster algebras.
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000643032 650_7 $$2autogen$$aHigher-Order Perturbative Calculations
000643032 650_7 $$2autogen$$aScattering Amplitudes
000643032 650_7 $$2autogen$$aExtended Supersymmetry
000643032 650_7 $$2autogen$$aHiggs Production
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000643032 7001_ $$0P:(DE-H253)PIP1032690$$aPapathanasiou, Georgios$$b1$$eCorresponding author
000643032 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP01(2025)197$$gVol. 01, no. 1, p. 197$$n1$$p197$$tJournal of high energy physics$$v01$$x1126-6708$$y2025
000643032 7870_ $$0PUBDB-2024-05604$$aAliaj, Rigers et.al.$$d2024$$iIsParent$$rDESY-24-129 ; arXiv:2408.14544$$tAn Exceptional Cluster Algebra for Higgs plus Jet Production
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