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Identities amongst the Two Loop Partial Amplitudes of Yang-Mills theory

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arxiv 2308.06602 v1 pith:OPUW7UPF submitted 2023-08-12 hep-th hep-ph

David C. Dunbar This is my paper · ORCID
classification hep-thhep-ph
keywords amplitudesidentitiespartialrelationstheoryyang-millsall-amongst
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abstract

We characterise possible identities among the two-loop partial amplitudes of gluon scattering in Yang-Mills theory. We use known amplitudes in an exhaustive search to identify potential new relations. We find two candidate relations which may extend to all-$n$ amplitudes.

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  1. Serendipitous Syzygies of Scattering Amplitudes

    hep-th 2025-05 accept novelty 7.0 of 10

    For rational gluon amplitudes (one-loop all-plus and tree-level MHV), all (n-1)!/2 color-ordered partial amplitudes are determined by just two independent functions via polynomial syzygies.

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