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S-matrix amplitudes for the electron-electron scattering are calculated inorder to verify the quantum equivalence of dual models. We used an extendedQuantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms,which was used in a process of gauge embedding, known as Noether dualizationnmethod (NDM), in order to generate its gauge-invariant dual model. The physicalequivalence was established at tree-level and the cross section was calculatedto second order in the Lorentz-violating parameter.

Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering