title: On-Shell Recursion Relations for Effective Field Theories.
abstract: 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.
authors.affiliation: Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, 91125 California, USA.
authors.forename: Clifford
authors.initials: C
authors.lastname: Cheung
authors.affiliation: Institute of Particle and Nuclear Physics, Charles University, 18000 Prague, Czech Republic.
authors.forename: Karol
authors.initials: K
authors.lastname: Kampf
authors.affiliation: Institute of Particle and Nuclear Physics, Charles University, 18000 Prague, Czech Republic.
authors.forename: Jiri
authors.initials: J
authors.lastname: Novotny
authors.affiliation: Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, 91125 California, USA.
authors.forename: Chia-Hsien
authors.initials: CH
authors.lastname: Shen
authors.affiliation: Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, 91125 California, USA.
authors.forename: Jaroslav
authors.initials: J
authors.lastname: Trnka