Unitary approximation of Bhabha diffusion by high energies and its implementation in Monte Carlo event generators
Abstract
Calculation methods are improved to evaluate precision data from large electron positron collider and hadron electron ring facility measurements, by considering electroweak interaction standard model and quantum chromodynamics as theory of the strong interaction. The electromagnetic radiation (bremsstrahlung) corrections for processing weak interaction at high energies were considered, with focus on Z(null) resonance neighboring. The KulishFadeev form of Hamilton operator and the S matrix theory were used and degeneration singularities were taken into account with a highly energetic scatter process. Schroedinger equation was solved with the Magnus method. The calculated terms were taken into account with the desired order in the Baker Campbell Hausdorff identity. The method was applied to Bhabha scattering and a recursion relationship was obtained for the scattering amplitude, which was implemented in a MonteCarlo event generator, which can produce a large number of photons. The simulated cross sections were found to be positive and the method is shown to be efficient for infrared and mass singularities handling.
 Publication:

Ph.D. Thesis
 Pub Date:
 1990
 Bibcode:
 1990PhDT.........7O
 Keywords:

 Electrons;
 Positrons;
 Quantum Chromodynamics;
 S Matrix Theory;
 Scattering Cross Sections;
 Weak Interactions (Field Theory);
 Born Approximation;
 Faddeev Equations;
 Feynman Diagrams;
 Hadrons;
 Inelastic Scattering;
 Leptons;
 Monte Carlo Method;
 Particle Diffusion;
 Protons;
 Atomic and Molecular Physics