The Masses of Fermions in the context of the Supersymmetric $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_N$ Model

Abstract

We will study in details the masses spectrum of fermions of the Minimal Supersymmetric $SU(3{)}_C\times SU(3{)}_L\times U(1{)}_N$ Model. We will consider the case in which all the usual neutral scalars fields of this model obtain vacuum expectation values, in both case when we have $R$-parity conservation, respect the invariance of the quantum number, $\mathcal{F}\equiv B+L$, where $B$ is the baryon number while $L$ is the total lepton number, and the oppposite ones, it means $R$-parity violation. We will present numerical predictions for all the fermions of this model, we will show that all masses and mixing angles are in agreement with current experimental data.

Comments: 42 pages, 3 tables