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Three-Loop Gluon Scattering in QCD and the Gluon Regge Trajectory
Fabrizio Caola1,2, Amlan Chakraborty3, Giulio Gambuti1,4
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom.
Physical Review Letters
|June 10, 2022
Summary
Researchers computed three-loop helicity amplitudes for four-gluon scattering in Quantum Chromodynamics (QCD). This provides essential data for understanding single-Reggeon exchanges at high precision.
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.
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