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arXiv · 1509.03309

On-Shell Recursion Relations for Effective Field Theories

Clifford Cheung·Karol Kampf·Jiri Novotny·Chia-Hsien Shen·Jaroslav Trnka
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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.

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Clifford Cheung, Karol Kampf, Jiri Novotny, Chia-Hsien Shen, Jaroslav Trnka. 2015-09-10. On-Shell Recursion Relations for Effective Field Theories. https://doi.org/10.1103/physrevlett.116.041601

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