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Twistor diagrams for all tree amplitudes in gauge theory: a helicity-independent formalism

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arxiv hep-th/0512336 v2 pith:FREHTSWY submitted 2005-12-29 hep-th

classification hep-th
keywords amplitudesdiagramsformalismtreetwistoranticommutingbritto-cachazo-fengcalculations
verification ladder T0 review T1 audit T2 compute T3 formal
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We give a new formalism for pure gauge-theoretic scattering at tree-amplitude level. We first describe a generalization of the Britto-Cachazo-Feng recursion relation in which a significant restriction is removed. We then use twistor diagrams to express all tree amplitudes in a form independent of helicity. A formal procedure involving anticommuting elements is required. We illustrate the results with specific calculations of interest, up to 8 interacting fields.

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  1. Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity

    hep-th 2025-06 accept novelty 6.0 of 10

    Hodges' all-multiplicity graviton MHV determinant is exactly generated by a one-particle recursion that takes the form of an Lw_{1+∞} Ward identity.

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