On-Shell Recursion Relations for Effective Field Theories

TL;DR

This paper develops on-shell recursion relations for effective field theories, enabling the construction of tree-level amplitudes based on factorization and soft behavior, applicable to models like the non-linear sigma model and DBI.

Contribution

It introduces the first on-shell recursion relations for effective field theories using a novel rescaling momentum shift, demonstrating their constructibility.

Findings

Recursion relations derived for various effective theories.

All theories with enhanced soft behavior are on-shell constructible.

Applicable to models like the non-linear sigma model, DBI, and Galileon.

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.