Scattering amplitudes with open loops

Area of Science:

• High Energy Physics
• Quantum Field Theory
• Computational Physics

Background:

• Calculating scattering amplitudes is crucial for understanding particle interactions.
• Traditional methods face challenges with loop-level calculations.
• Developing efficient and stable computational techniques is an ongoing need.

Purpose of the Study:

• Introduce a new technique for generating one-loop scattering amplitudes.
• Enhance the flexibility, speed, and numerical stability of amplitude calculations.
• Enable precise predictions for a wider range of collider processes.

Main Methods:

• Developed 'open loops,' a novel method for generating loop-momentum polynomials.
• Integrated open loops with tensor-integral and Ossola-Papadopoulos-Pittau reduction.
• Applied the technique to nontrivial collider process calculations.

Main Results:

• The open-loop technique provides a fully flexible, fast, and numerically stable one-loop generator.
• Demonstrated the capability of the method through complex applications.
• Achieved precise predictions for various collider processes.

Conclusions:

• The open-loop approach represents a significant advancement in calculating one-loop scattering amplitudes.
• This technique offers a powerful tool for theoretical particle physics research.
• It paves the way for more accurate predictions in high-energy physics experiments.