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Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory.

Samuel Abreu1, Lance J Dixon2, Enrico Herrmann2

  • 1Center for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium.

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This summary is machine-generated.

Researchers computed the symbol for two-loop five-point scattering amplitudes in N=4 supersymmetric Yang-Mills theory. This includes the full color dependence and results for nonplanar massless master integrals.

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Area of Science:

  • High-energy theoretical physics
  • Quantum field theory
  • Supersymmetric gauge theories

Background:

  • Scattering amplitudes are fundamental to understanding particle interactions.
  • N=4 supersymmetric Yang-Mills theory is a key model in quantum field theory due to its rich mathematical structure and dualities.
  • The symbol calculus provides a powerful framework for organizing and computing scattering amplitudes.

Purpose of the Study:

  • To compute the symbol of the two-loop five-point scattering amplitude in N=4 supersymmetric Yang-Mills theory.
  • To include the full color dependence in the calculation.
  • To construct the symbol of all relevant two-loop five-point nonplanar massless master integrals.

Main Methods:

  • Symbolic computation techniques.
  • Application of the symbol calculus to scattering amplitudes.
  • Derivation of master integrals for nonplanar diagrams.

Main Results:

  • The full symbol of the two-loop five-point scattering amplitude in N=4 supersymmetric Yang-Mills theory has been computed.
  • The complete color dependence of the amplitude has been determined.
  • Explicit results for the symbols of all two-loop five-point nonplanar massless master integrals are provided.

Conclusions:

  • The computation provides a significant advancement in understanding scattering amplitudes in N=4 supersymmetric Yang-Mills theory.
  • The explicit results for master integrals will be valuable for future amplitude calculations.
  • This work contributes to the ongoing development of the symbol calculus in theoretical physics.