On-Shell Recursion Relations for Effective Field Theories

Abstrakt

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.

Klíčová slova

• gravity
• effective
• field theory