Bounds on photon scattering

Abstract

We study 2-to-2 scattering amplitudes of massless spin one particles in $d=4$ space-time dimensions, like real world photons. We define a set of non-perturbative observables (Wilson coefficients) which describe these amplitudes at low energies. We use full non-linear unitarity to construct various novel numerical bounds on these observables. For completeness, we also rederive some bounds using positivity only. We discover and explain why some of these Wilson coefficients cannot be bounded.

arXiv comment39 pages + appendices, 20 figures

References in corpus (53)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• New Developments in FeynCalc 9.0
• FeynCalc 9.3: New features and improvements
• Spinning Conformal Correlators
• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
• The EFT-Hedron
• Observing light-by-light scattering at the Large Hadron Collider
• The S-matrix Bootstrap I: QFT in AdS
• Positive Moments for Scattering Amplitudes
• New positivity bounds from full crossing symmetry
• Sharp Boundaries for the Swampland
• Extremal Effective Field Theories
• Softness and Amplitudes' Positivity for Spinning Particles
• Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
• UV complete me: Positivity Bounds for Particles with Spin
• Crossing Symmetric Dispersion Relations in QFTs
• The S-matrix Bootstrap II: Two Dimensional Amplitudes
• Causality constraints on corrections to Einstein gravity
• FeynHelpers: Connecting FeynCalc to FIRE and Package-X
• Where is String Theory?
• Bootstrapping QCD: the Lake, the Peninsula and the Kink
• S-matrix Bootstrap for Effective Field Theories: Massless Pions
• Rigorous Bounds on Light-by-Light Scattering
• Causality Constraints on Gravitational Effective Field Theories
• Flux Tube S-matrix Bootstrap
• Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
• Natural Selection Rules: New Positivity Bounds for Massive Spinning Particles
• The S-matrix Bootstrap IV: Multiple Amplitudes
• Positivity Bounds on Dark Energy: When Matter Matters
• Bootstrapping Pions at Large $N$
• Bounding Violations of the Weak Gravity Conjecture
• On the four-point function of the stress-energy tensors in a CFT
• Graviton partial waves and causality in higher dimensions
• Gravitational Regge bounds
• Adding flavour to the S-matrix bootstrap
• Bootstrapping Massive Quantum Field Theories
• Relative entropy in scattering and the S-matrix bootstrap
• The O(N) S-matrix Monolith
• A note on the S-matrix bootstrap for the 2d O(N) bosonic model
• Dual S-matrix Bootstrap I: 2D Theory
• Light-by-Light Scattering at Future $e^{+}{e}^{-}$ Colliders
• S-matrix bootstrap in 3+1 dimensions: regularization and dual convex problem
• Rigorous bounds on the Analytic $S$-matrix
• SUSY S-matrix Bootstrap and Friends
• Selection rules for the S-Matrix bootstrap
• S-matrix bootstrap for resonances
• Scattering from production in 2d
• Nonperturbative Bounds on Scattering of Massive Scalar Particles in $d\ge 2$
• Bootstrapping the $a$-anomaly in $4d$ QFTs
• The R-matrix bootstrap for the 2d O(N) bosonic model with a boundary
• Celestial insights into the S-matrix bootstrap

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