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Gravitational Positivity for Phenomenologists: Dark Gauge Boson in the Swampland

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arxiv 2305.10058 v2 pith:P4OIEVRL submitted 2023-05-17 hep-ph astro-ph.COgr-qchep-th

Gravitational Positivity for Phenomenologists: Dark Gauge Boson in the Swampland

Katsuki Aoki , Toshifumi Noumi , Ryo Saito , Sota Sato , Satoshi Shirai , Junsei Tokuda , Masahito Yamazaki This is my paper
classification hep-ph astro-ph.COgr-qchep-th
keywords boundgaugemathrmbosongravitationalpositivityeffectivefield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The gravitational positivity bound gives quantitative "swampland'' constraints on low-energy effective theories inside theories of quantum gravity. We give a comprehensive discussion of this bound for those interested in applications to phenomenological model building. We present a practical recipe for deriving the bound, and discuss subtleties relevant for realistic models. As an illustration, we study the positivity bound on the scattering of the massive gauge bosons in the Higgs/St\"{u}ckelberg mechanism. Under certain assumptions on gravitational amplitudes at high energy, we obtain a lower bound $m_{V} \gtrsim \Lambda_\mathrm{UV}^2 /g M_\mathrm{Pl}$ on the gauge boson mass $m_V$, where $g$ is the coupling constant of the gauge field, $M_\mathrm{Pl}$ is the reduced Planck mass and $\Lambda_\mathrm{UV}$ is the ultraviolet cutoff of the effective field theory. This bound can strongly constrain new physics models involving a massive gauge boson.

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Cited by 4 Pith papers

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  1. The Positivity Geometry of Photon--Dark-Photon Effective Field Theories

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    Elastic positivity from a modified forward dispersion relation constrains the twelve dim-8 Wilson coefficients of the photon–dark-photon EFT to a spectrahedral cone, with hierarchies for non-forward mixed amplitudes a...

  2. A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude

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  3. Sampling the Graviton Pole and Deprojecting the Swampland

    hep-th 2026-04 unverdicted novelty 6.0

    A sampling-based bootstrap for graviton poles in EFTs yields non-projective bounds that fix the EFT cutoff scale relative to the Planck mass, with M/M_P ≲ 7.8 in D=5.

  4. Positivity bounds from thermal field theory entropy

    hep-th 2025-09 unverdicted novelty 6.0

    Thermodynamic consistency in thermal scalar EFTs requires the Wilson coefficient of the leading dimension-8 operator to be strictly positive.