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arxiv: 1511.03574 · v2 · pith:BC3YELDLnew · submitted 2015-11-11 · ✦ hep-th

Scattering amplitudes abandoning virtual particles

classification ✦ hep-th
keywords amplitudeson-shellparticlesscatteringvirtualabandoningappearbcfw
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We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In contrast to the usual Feynman diagrams, no virtual particles appear.

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  1. Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

    hep-th 2026-06 unverdicted novelty 7.0

    An on-shell construction using BCFW trees plus vacuum-pair phase-space integrals with inclusion-exclusion signs reproduces the known one- and two-loop all-plus four-gluon amplitudes.