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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
classification hep-th
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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Cited by 2 Pith papers

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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.

  2. Rational QCD loop amplitudes and quantum theories on twistor space

    hep-th 2024-11 conditional novelty 6.0 of 10

    Twistor-space anomaly cancellation yields linear relations among all-plus and one-minus one-loop QCD gluon subamplitudes, and the number of independent amplitudes is the unsigned Stirling number c(n-1,3) for n up to 8.

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