Anomalies, U(1)' and the MSSM

Understand

This Thesis reviews an extension of the MSSM by the addition of an anomalous abelian vector multiplet and contains some original results concerning the phenomenology of an anomalous $Z'$.

• The review part covers an introduction of the MSSM focusing on its main features, a discussion on the chiral anomalies and how to cancel them in the Standard Model and by the Green-Schwarz mechanism.
• Then, the original results are presented.
• We build the Lagrangian for the Minimal Anomalous $U(1)'$ Extension of the MSSM where the anomalies are cancelled by the Green-Schwarz mechanism and the addition of Chern-Simons terms, stressing the main differences between our model and the MSSM.