The Muon Anomalous Magnetic Moment in the Reduced Minimal 3-3-1 Model

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 ($H^{\pm \pm }$) and gauge boson ($U^{\pm \pm }$), 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 $SU(3{)}_L\otimes U(1{)}_N$ symmetry breaking $v_{\chi }\sim 2$ 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 $v_{\chi }>2.7$ TeV with current precision, and will entirely rule out the model if the expected precision is achieved by the future experiment at Fermilab.

19 pages, 4 figures

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