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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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New Soft Theorems for Goldstone-Boson Amplitudes.
Karol Kampf1, Jiri Novotny1, Mikhail Shifman2
1Institute of Particle and Nuclear Physics, Charles University, Prague 18000, Czech Republic.
Physical Review Letters
|April 4, 2020
Summary
This study introduces new soft theorems for Goldstone-boson amplitudes, extending the Adler zero concept for theories with specific symmetries. These theorems generalize amplitude predictions and aid in reconstructing tree-level amplitudes.
Area of Science:
- High Energy Physics
- Theoretical Physics
- Quantum Field Theory
Background:
- The Adler zero predicts vanishing scattering amplitudes in the soft limit for certain theories.
- This prediction relies on assumptions about cubic vertices and field transformations.
- Nonlinear realizations of shift symmetry can violate these assumptions.
Purpose of the Study:
- To derive new soft theorems for Goldstone-boson amplitudes.
- To generalize the Adler zero statement for theories that do not meet standard assumptions.
- To provide a tool for reconstructing tree-level amplitudes.
Main Methods:
- Derivation of new soft theorems for amplitudes with nonvanishing soft limits.
- Analysis of theories with nonlinear shift symmetry.
- Application to the SU(N)/SU(N-1) sigma model.
Main Results:
- A generalized soft theorem is derived, involving linear combinations of lower-point amplitudes.
- The new theorem accommodates theories with cubic vertices and linear field transformation terms.
- The SU(N)/SU(N-1) sigma model serves as an explicit example.
Conclusions:
- The derived soft theorems offer a broader framework for understanding Goldstone-boson amplitudes.
- These theorems are crucial for modified soft recursion relations.
- The findings facilitate the reconstruction of all tree-level amplitudes in relevant theories.
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