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Amplitude bases in generic EFTs

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arxiv 2202.02681 v3 pith:NJ345YZO submitted 2022-02-06 hep-th gr-qchep-ph

Stefano De Angelis This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords contacttermseffectivegenericindependentmassivemethodoperators
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present for the first time an efficient algorithm to find a basis of kinematically independent structures built of (massless and massive) spinor helicity variables in four dimensions. This method provides a classification of independent contact terms for the scattering amplitudes with generic masses, spins and multiplicity, in any effective field theory (EFT). These contact terms are in one-to-one correspondence with a complete set of irrelevant operators in the EFT. As basic applications of our method, we classify the $D^{2n} F^4$ contact terms in SU$(N)$ Yang-Mills theory for $n\leq 8$, dimension-six operators involving five $W^\pm$, $Z$ and $\gamma$ vector bosons, and spin-tidal effective interactions for spin-1 massive particles in gravitational theories.

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Cited by 6 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. $N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices

    hep-th 2026-08 conditional novelty 7.0 of 10

    A CSW-like recursion plus a 'contact Lagrangian' computes arbitrary tree-level N-photon amplitudes in general EFTs, with results through 10 photons in Born-Infeld theory.

  3. 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.

  4. Deuterium-Proton Fusion in an Effective Field Theory Constructed from On-Shell Amplitudes

    nucl-th 2026-07 conditional novelty 7.0 of 10

    A nuclear-state on-shell EFT yields S(0)=0.209±0.008 eV b for d(p,γ)3He and traces the ab initio-data offset to a natural t_E1≈−0.15 contact term.

  5. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

    hep-ph 2025-10 conditional novelty 6.0 of 10

    Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.

  6. Automation of a Matching On-Shell Calculator

    hep-ph 2025-05 conditional novelty 5.0 of 10

    A new Mathematica package, mosca, automates tree-level on-shell matching to transform between operator bases and reduce Green's bases to physical bases in EFTs.

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