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Analytic Form of Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD.

S Abreu1, J Dormans2, F Febres Cordero2,3

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Researchers derived the analytic form of two-loop five-gluon scattering amplitudes in Quantum Chromodynamics (QCD). These results are crucial for calculating next-to-next-to-leading-order QCD corrections at hadron colliders.

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Area of Science:

  • High Energy Physics
  • Quantum Chromodynamics (QCD)
  • Particle Physics

Background:

  • Scattering amplitudes are fundamental to understanding particle interactions.
  • Calculating higher-order corrections in QCD is essential for precise predictions at particle colliders.
  • Previous calculations for five-point amplitudes at two-loop order were limited.

Purpose of the Study:

  • To present the analytic form of planar two-loop five-gluon scattering amplitudes in QCD.
  • To provide the first analytic results for five-point, two-loop amplitudes relevant for higher-order QCD corrections.
  • To enable more precise theoretical predictions at hadron colliders.

Main Methods:

  • Reconstruction of analytic expressions from numerical evaluations.
  • Exploitation of physical and analytical properties of scattering amplitudes.
  • Utilizing a minimal basis of recently classified pentagon functions to simplify computation.

Main Results:

  • The complete analytic form of planar two-loop five-gluon scattering amplitudes for all independent helicity configurations.
  • These represent the first analytic results for this specific type of amplitude.
  • The methodology allows for the computation of next-to-next-to-leading-order QCD corrections.

Conclusions:

  • The derived analytic amplitudes are a significant advancement for theoretical particle physics.
  • These results pave the way for more accurate predictions of processes at the Large Hadron Collider (LHC).
  • The employed techniques offer a path for tackling similarly complex amplitude calculations in the future.