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Bounds on scattering of neutral Goldstones

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arxiv 2310.06027 v1 pith:3KTWDP43 submitted 2023-10-09 hep-th

Francesca Acanfora , Andrea Guerrieri , Kelian Häring , Denis Karateev This is my paper · ORCID
classification hep-th
keywords amplitudesboundsneutralnumericalparticlesscatteringadditionalanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the space of $2\to 2$ scattering amplitudes of neutral Goldstone bosons in four space-time dimensions. We establish universal bounds on the first two non-universal Wilson coefficients of the low energy Effective Field Theory (EFT) for such particles. We reconstruct the analytic, crossing-symmetric, and unitary amplitudes saturating our bounds, and we study their physical content. We uncover non-perturbative Regge trajectories by continuing our numerical amplitudes to complex spins. We then explore the consequence of additional constraints arising when we impose the knowledge about the EFT up to the cut-off scale. In the process, we improve on some aspects of the numerical $S$-matrix bootstrap technology for massless particles.

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Cited by 4 Pith papers

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    Imposing 5-point split conditions and unitarity bounds selects the string beta function as the unique 4-point amplitude, up to equal-mass infinite spin towers.

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    hep-th 2025-02 conditional novelty 7.0 of 10

    For a shift-symmetric scalar EFT with gravity, unitarity and dispersion relations imply Λ/M_P < 2.38 \tilde{g}_2^{1/5} and, in an improved smeared version, Λ^2/M_P^2 < 0.0115 |\tilde{g}_2|.

  3. S-matrix bootstrap bounds on self-interacting dark matter

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Weakly coupled scalar self-interacting dark matter cannot be heavier than ~0.3 GeV (generic) or ~MeV (derivative-coupled pNGB), much tighter than the 12 GeV unitarity bound.

  4. Cross-Section Bootstrap: Unveiling the Froissart Amplitude

    hep-th 2025-06 conditional novelty 6.0 of 10

    A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...

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