The muon anomalous magnetic moment in the reduced minimal 3-3-1 model
Chris Kelso, P. R. D. Pinheiro, Farinaldo S. Queiroz, William Shepherd · The European Physical Journal C · 2014
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 $$\mathrm{SU}(3)_L\otimes U(1)_N$$ 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 $$v_\chi \gtrsim 3.7$$ TeV with current precision, and they will entirely rule out the model if the expected precision is achieved by the future experiment at Fermilab.