On-Shell Recursion Relations for Effective Field Theories

Abstract

We derive the first ever on-shell recursion relations for amplitudes in effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in theories like the non- linear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.

5 pages

References in corpus (16)

• The Effective Field Theory of Inflation
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• DBI and the Galileon reunited
• Effective Field Theories from Soft Limits
• A Hidden Symmetry of the Galileon
• On-shell constructibility of tree amplitudes in general field theories
• New Double Soft Emission Theorems
• Simple Recursion Relations for General Field Theories
• Scalar Field Theories with Polynomial Shift Symmetries
• Generalized Galileon Duality
• Recursion Relations for Tree-level Amplitudes in the SU(N) Non-linear Sigma Model
• Unification of Galileon Dualities
• Goldstones with Extended Shift Symmetries
• Inequivalence of Coset Constructions for Spacetime Symmetries
• On single and double soft behaviors in NLSM
• Determination of Boundary Contributions in Recursion Relation

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