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Soft Scalars in Effective Field Theory

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arxiv 2403.12142 v1 pith:SJPLTKHF submitted 2024-03-18 hep-th hep-ph

classification hep-thhep-ph
keywords fieldsofttheoremeffectivegeometricscalarscalarstheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive a soft theorem for a massless scalar in an effective field theory with generic field content using the geometry of field space. This result extends the geometric soft theorem for scalar effective field theories by allowing the massless scalar to couple to other scalars, fermions, and gauge bosons. The soft theorem keeps its geometric form, but where the field-space geometry now involves the full field content of the theory. As a bonus, we also present novel double soft theorems with fermions, which mimic the geometric structure of the double soft theorem for scalars.

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Forward citations

Cited by 4 Pith papers

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

  1. geoSCET: Soft Theorems from Power Counting

    hep-th 2026-07 accept novelty 8.0 of 10

    geoSCET derives geometric soft theorems for scalar field theories directly from effective-field-theory power counting and proves they are exact to all orders in perturbation theory when no potential is present.

  2. Generalized Unitarity Method for Worldline Field Theory

    hep-th 2025-10 conditional novelty 7.0 of 10

    Worldline gravitational observables can be bootstrapped from locality, unitarity, gauge invariance, and a soft theorem once worldline energies are complexified, reproducing the known O(G^5/2) waveform and O(G^3) on-sh...

  3. The Potential of HEFT and the scale of New Physics

    hep-ph 2025-12 conditional novelty 6.0 of 10

    From a geometric recursion, the authors compute leading high-energy amplitudes with arbitrary multiplicities, resum them into unitarity bounds and cut-offs, and show that a dilaton HEFT reaches the SM as Δ→2 without p...

  4. Waveform, memory and classical soft scalar theorems

    hep-th 2025-02 conditional novelty 6.0 of 10

    For massless scalar-mediated scattering, the entire late-time and early-time expansion of the scalar waveform is determined by the particles' asymptotic momenta and charges, with an explicit all-order formula for two-...

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