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On-Shell Recursion Relations for Effective Field Theories.

Clifford Cheung1, Karol Kampf2, Jiri Novotny2

  • 1Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, 91125 California, USA.

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Summary
This summary is machine-generated.

This study introduces novel on-shell recursion relations for effective field theories. These relations construct tree-level scattering amplitudes in various theories, proving their on-shell constructibility.

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Area of Science:

  • Theoretical Physics
  • High Energy Physics
  • Quantum Field Theory

Background:

  • Effective field theories (EFTs) are crucial for describing physical phenomena at different energy scales.
  • Calculating scattering amplitudes in EFTs can be complex, especially at tree-level.
  • Existing methods may not fully exploit the structure of certain EFTs.

Purpose of the Study:

  • To develop novel on-shell recursion relations applicable to effective field theories.
  • To demonstrate a general method for constructing tree-level scattering amplitudes.
  • To establish the on-shell constructibility of theories with enhanced soft behavior.

Main Methods:

  • Derivation of on-shell recursion relations based on factorization properties.
  • Application of a novel rescaling momentum shift.
  • Construction of tree-level scattering amplitudes.

Main Results:

  • The first on-shell recursion relations for effective field theories are derived.
  • These relations successfully construct tree-level amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon.
  • The study proves that theories exhibiting enhanced soft behavior are on-shell constructible.

Conclusions:

  • The developed recursion relations provide a powerful tool for amplitude calculations in EFTs.
  • The findings confirm the general applicability of the method to theories with specific soft behavior.
  • This work advances the understanding of scattering amplitude construction in theoretical physics.