Abstract

We study the muon anomalous magnetic moment <math><msub><mrow><mo stretchy="false">(</mo><mi>g</mi><mo>-</mo><mn>2</mn><mo stretchy="false">)</mo></mrow><mi mathvariant="italic">μ</mi></msub></math> 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 ( <math><msup><mi>H</mi><mrow><mo>±</mo><mo>±</mo></mrow></msup></math> ) and gauge boson ( <math><msup><mi>U</mi><mrow><mo>±</mo><mo>±</mo></mrow></msup></math> ), new singly charged vectors ( <math><msup><mi>V</mi><mo>±</mo></msup></math> ) and a <math><msup><mi>Z</mi><mo>′</mo></msup></math> boson, each of which might give a sizeable contribution to the <math><msub><mrow><mo stretchy="false">(</mo><mi>g</mi><mo>-</mo><mn>2</mn><mo stretchy="false">)</mo></mrow><mi mathvariant="italic">μ</mi></msub></math> . We compute the 1-loop contributions from all these new particles to the <math><msub><mrow><mo stretchy="false">(</mo><mi>g</mi><mo>-</mo><mn>2</mn><mo stretchy="false">)</mo></mrow><mi mathvariant="italic">μ</mi></msub></math> . 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 <math><mrow><mi mathvariant="normal">SU</mi><msub><mrow><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mrow><mi>L</mi></msub><mo>⊗</mo><mi>U</mi><msub><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow><mi>N</mi></msub></mrow></math> symmetry breaking <math><mrow><msub><mi>v</mi><mi mathvariant="italic">χ</mi></msub><mo>∼</mo><mn>2</mn></mrow></math>  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 <math><mrow><msub><mi>v</mi><mi mathvariant="italic">χ</mi></msub><mo>≳</mo><mn>3.7</mn></mrow></math>  TeV with current precision, and they will entirely rule out the model if the expected precision is achieved by the future experiment at Fermilab

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This paper was published in Open Access Repository.

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