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Soft Matters, or the Recursions with Massive Spinors

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arxiv 2005.08981 v2 pith:MY5P2F2C submitted 2020-05-18 hep-th hep-ph

Adam Falkowski , Camila S. Machado This is my paper · ORCID
classification hep-thhep-ph
keywords massivesoftscatteringamplitudescomptonfactorsmomentarecursions
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We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in the process. The technical innovation is that spinors corresponding to massive momenta are also shifted. Our recursions lead to a reformulation of the soft theorems. The well-known Weinberg's soft factors are recovered and, in addition, the subleading factors appear reshaped such that they are directly applicable to massive amplitudes in the modern on-shell language. Moreover, we obtain new results in the context of non-minimal interactions of massive matter with photons and gravitons. These soft theorems are employed for practical calculations of Compton and higher-point scattering. As a by-product, we introduce a convenient representation of the Compton scattering amplitude for any mass and spin.

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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. (Super)$\,$Gravity from Positivity

    hep-th 2025-07 conditional novelty 8.0 of 10

    Positivity of scattering amplitudes forces weakly coupled EFTs of a massive spin-3/2 particle to include gravity, and for charged states a gauged photon with g=2 and WGC-saturating charge.

  2. Supersymmetry, Supergravity and the Consistency of On-Shell Massive Superamplitudes

    hep-th 2026-08 conditional novelty 7.0 of 10

    Consistent scattering amplitudes force a massless spin-3/2 particle to be the gravitino of a supergravity theory, and constrain massive BPS vector couplings to form a Lie algebra.

  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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