4.4 Article

S-matrix bootstrap for effective field theories: massless pions

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP06(2021)088

Keywords

Chiral Lagrangians; Effective Field Theories; Scattering Amplitudes

Funding

  1. Government of Canada through NSERC
  2. Province of Ontario through MRI
  3. Simons Foundation [488649, 488661]
  4. ICTP-SAIFR FAPESP [2016/01343-7]
  5. FAPESP [2017/03303-1]
  6. Sao Paulo Research Foundation (FAPESP) [2019/24277-8]
  7. Swiss National Science Foundation [200021-169132]
  8. National Centre of Competence in Research SwissMAP
  9. Israel Science Foundation [2289/18]

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The article demonstrates the use of numerical S-matrix bootstrap method to derive bounds on the Wilson coefficients controlling the low-energy dynamics of massless pions. This approach provides a proof of concept for deriving non-perturbative bounds on massless EFTs in more than two spacetime dimensions.
We use the numerical S-matrix bootstrap method to obtain bounds on the two leading Wilson coefficients (or low energy constants) of the chiral lagrangian controlling the low-energy dynamics of massless pions. This provides a proof of concept that the numerical S-matrix bootstrap can be used to derive non-perturbative bounds on massless EFTs in more than two spacetime dimensions.

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