Abstract
We derive the first ever on-shell recursion relations applicable to 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 the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.
- Received 18 September 2015
DOI:https://doi.org/10.1103/PhysRevLett.116.041601
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© 2016 American Physical Society
Physics Subject Headings (PhySH)
Viewpoint
ViewpointExtending an Alternative to Feynman Diagrams
Published 8 February 2016
A simplifying technique for calculating scattering amplitudes—the basis for predictions in particle physics experiments—has been extended to cover a class of effective quantum field theories.
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