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CSW rules for a massive scalar

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arxiv 0712.3409 v2 pith:3ZZ7Q34F submitted 2007-12-20 hep-th hep-ph

Rutger Boels , Christian Schwinn This is my paper · ORCID
classification hep-thhep-ph
keywords rulesmassiveactiononcescalarscalarsverticesyang-mills
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We derive the analog of the Cachazo-Svrcek-Witten (CSW) diagrammatic Feynman rules for four dimensional Yang-Mills gauge theory coupled to a massive colored scalar. The mass term is shown to give rise to a new tower of vertices in addition to the CSW vertices for massless scalars in non-supersymmetric theories. The rules are derived directly from an action, once through a canonical transformation within light-cone Yang-Mills and once by the construction of a twistor action. The rules are tested against known results in several examples and are used to simplify the proof of on-shell recursion relations for amplitudes with massive scalars.

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  1. On-shell recursion relations for higher-spin Compton amplitudes

    hep-th 2025-06 conditional novelty 6.0 of 10

    The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.

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