Abstract

We study the muon anomalous magnetic moment \$(g-2)\_\mu\$ in the context of the reduced minimal 3-3-1 model recently proposed in the literature. In particular, its spectrum contains a doubly charged scalar (\$H^\pm\$) and gauge boson (\$U^\pm\$), new singly charged vectors (\$V^\pm\$) and a \$Z^\prime\$ boson, each of which might give a sizeable contribution to the \$(g-2)\_\mu\$. We compute the 1-loop contributions from all these new particles to the \$(g-2)\_\mu\$. We conclude that the doubly charged vector boson provides the dominant contribution, and by comparing our results with the experimental constraints we derive an expected value for the scale of \$SU(3)\_Løtimes U(1)\_N\$ symmetry breaking \$v\_\chi 2\$ TeV. We also note that, if the discrepancy in the anomalous moment is resolved in the future without this model then the constraints will tighten to requiring \$v\_> 2.7\$ TeV with current precision, and will entirely rule out the model if the expected precision is achieved by the future experiment at Fermilab.

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