Neutrino masses and $\mu$ terms in a supersymmetric extra U(1) model

TL;DR

This paper introduces a supersymmetric model with an extra U(1) symmetry that naturally generates small neutrino masses and $$ terms, predicts neutrino mixing angles, and offers distinctive phenomenological features.

Contribution

The model uniquely embeds quarks and leptons in three 27s of E6 with a new U(1) at TeV scale, providing constrained neutrino mass textures and testable predictions.

Findings

Predicts $$ terms and small neutrino masses simultaneously.

Determines $$ and neutrino mixing parameters from oscillation data.

Identifies phenomenological differences from MSSM.

Abstract

We propose a supersymmetric extra U(1) model, which can generate small neutrino masses and necessary $\mu$ terms, simultaneously. Fields including quarks and leptons are embedded in three ${\bf 27}$s of $E_6$ in a different way among generations. The model has an extra U(1) gauge symmetry at TeV regions, which has discriminating features from other models studied previously. Since a neutrino mass matrix induced in the model has a constrained texture with limited parameters, it can give a prediction. If we impose neutrino oscillation data to fix those parameters, a value of $\sin\theta_{13}$ can be determined. We also discuss several phenomenological features which are discriminated from the ones of the MSSM.