Supersymmetric $U(1)_{Y^{\prime}}\otimes U(1)_{B-L}$ extension of the standard model

TL;DR

This paper develops a supersymmetric extension of the Standard Model with additional $U(1)$ gauge symmetries, incorporating right-handed neutrinos and the type-I seesaw mechanism to generate neutrino masses.

Contribution

It introduces a novel supersymmetric model with an extended gauge symmetry including $U(1)_{Y'}$ and $U(1)_{B-L}$, and details the mass spectra and flat directions.

Findings

Model accommodates all fermion masses at tree level

Implements type-I seesaw for neutrino masses

Provides mass spectra and flat directions for the model

Abstract

We build a supersymmetric version with $SU(3)_C\otimes SU(2)_L\otimes U(1)_{Y^\prime}\otimes U(1)_{B-L}$ gauge symmetry, where $Y^\prime$ is a new charge and $B$ and $L$ are the usual baryonic and leptonic numbers. The model has three right-handed neutrinos with identical $B-L$ charges, and can accommodate all fermion masses at the tree level. In particular, the type-I seesaw mechanism is implemented for the generation of the active neutrino masses. We obtain the mass spectra of all sectors and for the scalar one we also give the flat directions allowed by the model.