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Analytic Result for a Two-Loop Five-Particle Amplitude.

D Chicherin1, T Gehrmann2, J M Henn1

  • 1Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, D-80805 München, Germany.

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|April 13, 2019
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Summary
This summary is machine-generated.

Researchers computed the full-color two-loop five-particle amplitude in N=4 super Yang-Mills theory, including nonplanar terms. This calculation clarifies the amplitude

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • String Theory

Background:

  • N=4 super Yang-Mills theory is a key model in quantum field theory with rich mathematical structure.
  • Two-loop amplitudes are crucial for understanding scattering processes beyond leading order.
  • Nonplanar contributions are essential for a complete description of scattering amplitudes.

Purpose of the Study:

  • To compute the symbol of the full-color two-loop five-particle amplitude in N=4 super Yang-Mills theory.
  • To include all nonplanar subleading-color terms in the calculation.
  • To analyze the multi-Regge limit of these nonplanar terms.

Main Methods:

  • Symbolic computation of scattering amplitudes.
  • Utilizing dimensional regularization to handle divergences.
  • Expressing the amplitude in terms of Parke-Taylor tree-level amplitudes and pure functions.

Main Results:

  • The computed amplitude is expressed in terms of permutations of Parke-Taylor amplitudes and pure functions.
  • The result is valid to all orders in the dimensional regularization parameter.
  • The amplitude exhibits correct collinear limits and infrared factorization properties, defining a finite remainder function.

Conclusions:

  • The calculation provides a complete description of the two-loop five-particle amplitude, including nonplanar effects.
  • The results confirm and extend previous theoretical conjectures.
  • Further analysis of the multi-Regge limit reveals leading logarithmic terms and subleading power corrections.