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Recursion Relations for Gauge Theory Amplitudes with Massive Particles

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arxiv hep-th/0504159 v1 pith:ZSE2P6WU submitted 2005-04-19 hep-th hep-ph

classification hep-thhep-ph
keywords amplitudesmassiverecursionrelationsgluonsparticlesscalarsapply
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide new results for all amplitudes with a pair of scalars and n < 5 gluons. These amplitudes can be used as building blocks in the computation of one-loop 6-gluon amplitudes using unitarity based methods.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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 of 10

    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.

  2. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0 of 10

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.

  3. 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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