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Setting Limits on Supersymmetry Using Simplified Models
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Double Spacelike Collinear Limits from Multi-Regge Kinematics.

Claude Duhr1, Aniruddha Venkata1, Chi Zhang1

  • 1Universität Bonn, Bethe Center for Theoretical Physics, D-53115, Germany.

Physical Review Letters
|January 2, 2026
PubMed
Summary

Researchers studied scattering amplitudes in super Yang-Mills theory. They discovered a generalized splitting amplitude that governs collinear limits, confirming its universality across various particle numbers and loop orders.

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Area of Science:

  • High-energy physics
  • Quantum field theory
  • String theory

Background:

  • Planar N=4 super Yang-Mills theory is a key model in quantum field theory.
  • Understanding scattering amplitudes and form factors is crucial for theoretical physics.
  • Collinear limits in scattering processes reveal fundamental symmetries and structures.

Purpose of the Study:

  • To investigate scattering amplitudes and form factors in planar N=4 super Yang-Mills theory.
  • To analyze the behavior of these quantities in the double spacelike collinear limit.
  • To confirm and generalize existing proposals regarding collinear factorization.

Main Methods:

  • Analysis of scattering amplitudes and form factors in the double spacelike collinear limit.
  • Utilizing integrability techniques to evaluate amplitudes in multi-Regge kinematics.
  • Comparing results with existing theoretical proposals and extending the analysis to higher orders and loop counts.

Main Results:

  • A generalized splitting amplitude was identified, correlating two collinear directions in the spacelike virtuality regime.
  • This generalized splitting amplitude was found to agree with the Bern-Dixon-Smirnov subtracted six-point amplitude.
  • Universality of the generalized splitting amplitude was demonstrated for scattering amplitudes and form factors with varying particle numbers and loop orders.

Conclusions:

  • The study confirms a recent proposal for collinear factorization in planar N=4 super Yang-Mills theory.
  • The identified generalized splitting amplitude exhibits remarkable agreement with known results and demonstrates broad applicability.
  • These findings provide significant insights into the structure of scattering amplitudes and form factors in strongly coupled quantum field theories.