Speaker
Description
This undergraduate thesis systematically develops the construction of the supersymmetric Lagrangian for gauge theories with $\mathcal{N} = 1$ supersymmetry. Starting from the physical and algebraic foundations of quantum field theory and spacetime symmetries, it introduces the formalism of superspace and superfields as tools to formulate supersymmetric theories. As an application, the cancellation of quadratic divergences in radiative corrections to the Higgs mass is analyzed, highlighting the role of supersymmetry in naturally stabilizing the electroweak scale. The approach taken aims not only to present the final results but also to rigorously show the explicit derivation of each term, thereby providing conceptual clarity to the supersymmetric formalism.