arXiv:1509.03309·v1·High Energy Physics — Theory
On-Shell Recursion Relations for Effective Field Theories
Clifford Cheung🇺🇸 · Karol Kampf🇨🇿 · Jiri Novotny🇨🇿 · Chia-Hsien Shen🇺🇸 · Jaroslav Trnka🇺🇸
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.
Comments: 5 pages