A Supersymmetric Model with an Extra U(1) Gauge Symmetry

TL;DR

This paper introduces a supersymmetric model with an additional U(1) gauge symmetry that naturally prevents proton decay and generates small neutrino masses, enhancing the theoretical consistency of particle physics models.

Contribution

A new supersymmetric model incorporating an extra U(1) gauge symmetry that ensures proton stability without ad hoc symmetries and naturally generates neutrino masses.

Findings

Proton decay is forbidden by the extra U(1) gauge symmetry.

Neutrinos acquire small Dirac and Majorana masses.

The model's superpotential contains only trilinear couplings.

Abstract

In the standard model the proton is protected from decay naturally by gauge symmetries, whereas in the ordinary minimal supersymmetric standard model an ad hoc discrete symmetry is imposed for the proton stability. We present a new supersymmetric model in which the proton decay is forbidden by an extra U(1) gauge symmetry. Particle contents are necessarily increased to be free from anomalies, incorporating right-handed neutrinos. Both Dirac and Majorana masses are generated for neutrinos, yielding non-vanishing but small masses. The superpotential consists only of trilinear couplings and the mass parameter $\mu$ of the minimal model is induced by spontaneous breaking of the U(1) symmetry.