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Researchers calculated three-loop scattering amplitudes for photon production in quark-antiquark annihilation. This study presents the first three-loop, four-point scattering amplitude calculation in Quantum Chromodynamics (QCD).

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Area of Science:

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

Background:

  • Scattering amplitudes are fundamental to understanding particle interactions.
  • Previous calculations were limited to lower loop orders or simplified theories.
  • Precision calculations in Quantum Chromodynamics (QCD) are crucial for experimental predictions.

Purpose of the Study:

  • To compute the three-loop scattering amplitudes for photon pair production in quark-antiquark annihilation.
  • To develop efficient methods for calculating high-loop-order amplitudes.
  • To provide analytic results for a key process in Quantum Chromodynamics (QCD).

Main Methods:

  • Utilized specific projectors for efficient helicity amplitude calculation.
  • Employed advanced techniques for multi-loop integration in Quantum Chromodynamics (QCD).
  • Expressed results using harmonic polylogarithms and multiple polylogarithms.

Main Results:

  • Achieved the first three-loop calculation of a four-point scattering amplitude in full Quantum Chromodynamics (QCD).
  • Obtained compact analytic expressions for the scattering amplitudes.
  • Results are expressible in terms of harmonic or multiple polylogarithms up to depth three.

Conclusions:

  • This work establishes a new benchmark for precision calculations in Quantum Chromodynamics (QCD).
  • The methodology can be extended to other high-loop-order scattering processes.
  • The analytic results are vital for precise comparisons with experimental data.