Two-Loop QED Corrections to the Scattering of Four Massive Leptons

Area of Science:

• High-energy physics
• Quantum field theory
• Quantum electrodynamics (QED)

Background:

• Scattering amplitudes in QED are crucial for understanding particle interactions.
• Two-loop corrections are essential for precise theoretical predictions.
• Massive lepton scattering processes like Bhabha and Møller are fundamental in QED.

Purpose of the Study:

• To compute previously unknown elliptic Feynman integrals for four massive lepton scattering amplitudes.
• To develop analytical methods for evaluating these complex integrals.
• To obtain compact series expansions for relevant scattering processes.

Main Methods:

• Analytical computation of Feynman integrals using the differential equation method.
• Exploitation of underlying elliptic geometry.
• Derivation of series expansions for specific kinematic regions.

Main Results:

• Successful computation of novel elliptic Feynman integrals.
• Uncovering the elliptic geometry governing the scattering amplitude.
• Development of efficient series expansions for massive lepton scattering.

Conclusions:

• The study provides a significant advancement in the analytical calculation of QED scattering amplitudes.
• The derived series expansions offer practical tools for analyzing Bhabha and Møller scattering.
• This work deepens the understanding of elliptic structures in quantum field theory.