Monodromy--like Relations for Finite Loop Amplitudes

Henrik Johansson; N. E. J. Bjerrum-Bohr; Poul H. Damgaard; Thomas Sondergaard

Monodromy--like Relations for Finite Loop Amplitudes

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arxiv 1103.6190 v2 pith:L3HNYIK3 submitted 2011-03-31 hep-th

N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Henrik Johansson , Thomas Sondergaard This is my paper · ORCID

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keywords relationsamplitudesfiniteloopamplitudeconnectiondeducediagrammatic

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We investigate the existence of relations for finite one-loop amplitudes in Yang-Mills theory. Using a diagrammatic formalism and a remarkable connection between tree and loop level, we deduce sequences of amplitude relations for any number of external legs.

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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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