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Updated: Mar 25, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

New Representations of the Perturbative S Matrix.

Christian Baadsgaard^1,2, N E J Bjerrum-Bohr², Jacob L Bourjaily²

¹Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review Letters

|February 27, 2016

Summary

We introduce a novel framework for the perturbative S matrix, applicable to all quantum field theories with massless particles. This method uses tree-level amplitudes and integrable terms, simplifying complex calculations for quantum field theory research.

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Area of Science:

Quantum Field Theory
High Energy Physics
Mathematical Physics

Background:

The perturbative S matrix is crucial for understanding particle interactions.
Existing methods face challenges with massless particles and complex loop calculations.

Purpose of the Study:

To develop a robust framework for representing the perturbative S matrix.
To ensure the framework is well-defined for all quantum field theories involving massless particles.

Main Methods:

Constructing the S matrix representation from tree-level amplitudes.
Utilizing integrable terms and partial fraction identities from Feynman diagrams.
Defining loop integrands using "Q-cuts" with specific contour prescriptions.

Main Results:

The proposed framework is well-defined for massless quantum field theories.
It simplifies loop integrand evaluation using Q-cuts.
The framework naturally extends to all orders, including nonplanar theories.

Conclusions:

This new framework offers a unified and systematic approach to S matrix calculations.
It provides a powerful tool for theoretical physics research, particularly in quantum field theory.
The method has implications for understanding scattering amplitudes and quantum gravity.