S-matrix Bootstrap for Effective Field Theories: Massless Pions

Abstract

We use the numerical S-matrix bootstrap method to obtain bounds on the two leading Wilson coefficients of the chiral lagrangian controlling the low-energy dynamics of massless pions thus providing a proof of concept that the numerical S-matrix bootstrap can be used to derive non-perturbative bounds on EFTs in more than two spacetime dimensions.

arXiv comment12 pages + appendices

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Cited by in corpus (30)

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• Celestial Amplitudes from UV to IR
• Where is String Theory?
• QED positivity bounds
• Rigorous Bounds on Light-by-Light Scattering
• Reverse Bootstrapping: IR lessons for UV physics
• Landau Discriminants
• Positivity in Multi-Field EFTs
• Bootstrapping Pions at Large $N$
• Causal Effective Field Theories
• Cornering Large-$N_c$ QCD with Positivity Bounds
• Triple crossing positivity bounds for multi-field theories
• Distributions in CFT II. Minkowski Space
• S-matrix bootstrap in 3+1 dimensions: regularization and dual convex problem
• What is the $i\epsilon$ for the S-matrix?
• SMEFTs living on the edge: determining the UV theories from positivity and extremality
• Rigorous bounds on the Analytic $S$-matrix
• QFT, EFT and GFT
• Where is M-theory in the space of scattering amplitudes?
• Scattering from production in 2d
• Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces
• Nonperturbative Bounds on Scattering of Massive Scalar Particles in $d\ge 2$
• Swampland Conditions for Higher Derivative Couplings from CFT
• Bootstrapping the $a$-anomaly in $4d$ QFTs
• Bounds on Crossing Symmetry
• Bounds on photon scattering
• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• From conformal correlators to analytic S-matrices: CFT${}_1$/QFT${}_2$
• A Note on the Analytic Structure of Celestial Amplitudes