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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Particle Physics

Background:

  • Scattering amplitudes in Quantum Chromodynamics (QCD) are crucial for understanding particle interactions.
  • Calculating higher-loop amplitudes is computationally intensive but necessary for precise theoretical predictions.

Purpose of the Study:

  • To compute the three-loop helicity amplitudes for the scattering of four gluons in QCD.
  • To extract the gluon Regge trajectory at three-loop order.
  • To provide a key ingredient for next-to-next-to-leading logarithmic accuracy calculations.

Main Methods:

  • Utilized projectors in the 't Hooft-Veltman scheme.
  • Constructed amplitudes from a minimal set of physical building blocks.
  • Analyzed the Regge limit of the computed amplitudes.

Main Results:

  • Obtained compact, three-loop helicity amplitudes for four-gluon scattering.
  • Results are expressible in terms of harmonic polylogarithms.
  • Extracted the gluon Regge trajectory at three-loop order in QCD.

Conclusions:

  • The computed amplitudes and extracted Regge trajectory are essential for precision studies of single-Reggeon exchanges.
  • This work simplifies complex calculations in Quantum Chromodynamics.