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Quark and gluon form factors to three loops
P A Baikov1, K G Chetyrkin, A V Smirnov
1Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119992 Moscow, Russia.
Physical Review Letters
|June 13, 2009
Summary
We calculated key components in quantum chromodynamics to three-loop order. These results are essential for understanding high-energy particle interactions and represent the first complete three-loop vertex corrections.
Area of Science:
- High-energy particle physics
- Quantum Chromodynamics (QCD)
Background:
- Perturbative QCD calculations are crucial for predicting experimental outcomes.
- Higher-order corrections are necessary for precision in theoretical predictions.
Purpose of the Study:
- To compute form factors for the photon-quark-anti-quark vertex.
- To calculate the effective vertex for a Higgs-boson and two gluons.
- To achieve three-loop order in massless perturbative quantum chromodynamics.
Main Methods:
- Utilized perturbative quantum chromodynamics.
- Performed calculations to three-loop order.
- Focused on massless quark and gluon interactions.
Main Results:
- Computed form factors for the photon-quark-anti-quark vertex to three-loop order.
- Calculated the Higgs-boson and two-gluon effective vertex to three-loop order.
- Established the first complete three-loop vertex corrections in this context.
Conclusions:
- The computed form factors serve as essential building blocks for third-order cross-section calculations.
- This work advances the precision of theoretical predictions in particle physics.
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