Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 24 min ago
Peer-reviewedCC BY 4.0Journal of High Energy Physics

Bootstrapping gravity with crossing symmetric dispersion relations

  • Celina Pasiecznik1
  1. 1McGill University
Open at sourcePDFDOICite

Abstract

We derive bounds on Wilson coefficients in gravitational effective field theories using fully crossing symmetric dispersion relations. These sum rules naturally isolate finite subsets of low-energy couplings without relying on the forward limit or specific high-energy completions. We validate our method by matching bounds computed previously for scalar scattering with gravity as well as for graviton scattering. For graviton scattering we construct crossing symmetric combinations of the maximal helicity violating amplitude. We also derive new bounds on the coupling of gravitons to a massive spin-4 state at tree level. These results demonstrate the power of crossing symmetric sum rules as a tool in the S-matrix bootstrap.

Related

  1. Real-Space Double Crossing Reveals Symmetry-Driven Dispersion Back-Bending of Surface Phonon Polaritons on α-Quartz
    Ryoga Odawara, Kotaro Shirahata, Aozora Ohi +2
    arXivPreprintCC BY 4.0Full textOptics & photonicsarXiv
  2. Half-Completeness from Standard Gravitational Dispersion Relations
    Lukas W. Lindwasser, Laurentiu Rodina, Justinas Rumbutis
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  3. Next-to-leading order corrections to radiative pion pair production via dispersion relations
    Carlo M. Carloni Calame, Marco Ghilardi, Andrea Gurgone +5
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  4. Higher-order space-charge stability in anisotropic beams: Vlasov-Poisson derivation, refined dispersion relations, and stability charts
    Abhishek Pathak
    arXivPreprintarXiv licenceFull textApplied physics & instrumentationarXiv
  5. No-Go Theorem for Phantom Crossing in Scalar-Tensor Gravity with Non-Minimal Derivative Coupling and Soft Scale-Invariance Breaking
    Reza Baghbani
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@article{pasiecznik2026bootstrapping,
  title = {{Bootstrapping gravity with crossing symmetric dispersion relations}},
  author = {Celina Pasiecznik},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)065},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)065},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Bootstrapping gravity with crossing symmetric dispersion relations
AU  - Celina Pasiecznik
PY  - 2026
DA  - 2026/11/06
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)065
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)065
AB  - We derive bounds on Wilson coefficients in gravitational effective field theories using fully crossing symmetric dispersion relations. These sum rules naturally isolate finite subsets of low-energy couplings without relying on the forward limit or specific high-energy completions. We validate our method by matching bounds computed previously for scalar scattering with gravity as well as for graviton scattering. For graviton scattering we construct crossing symmetric combinations of the maximal helicity violating amplitude. We also derive new bounds on the coupling of gravitons to a massive spin-4 state at tree level. These results demonstrate the power of crossing symmetric sum rules as a tool in the S-matrix bootstrap.
SN  - 1029-8479
ER  -