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In this thesis, the mass singularities occurring in the cross-section of electron scattering processes are investigated. Two types of scatterings are studied: Quantum Electrodynamics (QED) scatterings, and Perturbative Quantum Gravity (PQG) scatterings. We show how mass singularities in QED and PQG cancel when real and virtual diagrams are included in the scattering cross-section. We find that in
