Anomaly-free $U(1)^m$ extensions of the Standard Model

TL;DR

This paper constructs anomaly-free multi-$U(1)$ gauge extensions of the Standard Model, providing a systematic framework with many free parameters for model builders to explore new particle physics solutions.

Contribution

It introduces a method to build anomaly-free $U(1)^m$ extensions by combining known $U(1)$ extensions for one and two families, offering a versatile set of models.

Findings

Systematic construction of anomaly-free $U(1)^m$ models.

Large parameter space for model building.

Potential applications in solving particle physics problems.

Abstract

We construct anomaly-free $U(1)_1\times U(1)_2\times...\times U(1)_m$ gauge extensions of the Standard Model. To perform this construction we put together anomaly-free $U(1)$ extensions of one and two families of fermions. The availability of free parameters that enter linearly in the equations for the fermion charges and the large number of different classes of extensions may help other model builders interested in their use to solve problems of particle physics.