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arxiv: 1509.03309 · v1 · pith:CPFTEUYTnew · submitted 2015-09-10 · ✦ hep-th · hep-ph

On-Shell Recursion Relations for Effective Field Theories

Clifford Cheung , Karol Kampf , Jiri Novotny , Chia-Hsien Shen , Jaroslav Trnka This is my paper
classification ✦ hep-th hep-ph
keywords theoriesamplitudeson-shellrecursionrelationsbehavioreffectivefield
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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.

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