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

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.

6 pages

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• Anomalous $U(1)$ extension of the Standard Model
• Rare Leptonic Processes Induced by Massless Dark Photon
• The Forward Physics Facility at the High-Luminosity LHC
• Integer solutions to the anomaly equations for a class of chiral gauge theories